{"id":1886,"date":"2021-03-31T01:01:35","date_gmt":"2021-03-31T01:01:35","guid":{"rendered":"https:\/\/physicscatalyst.com\/testprep\/class-11-physics\/mcq-on-system-of-particles-and-rotational-motion\/"},"modified":"2021-06-05T14:01:33","modified_gmt":"2021-06-05T14:01:33","slug":"mcq-system-of-particles-and-rotational-motion","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/testprep\/class-11-physics\/mcq-system-of-particles-and-rotational-motion\/","title":{"rendered":"Online Test on System of Particles and Rotational Motion For Class 11 Physics"},"content":{"rendered":"\n<p>On this page find NCERT MCQ Questions for <a href=\"https:\/\/physicscatalyst.com\/class11.php\" target=\"_blank\" rel=\"noreferrer noopener\">Class 11 Physics<\/a> Chapter 7 System of Particles and Rotational Motion with Answers. These <a href=\"https:\/\/physicscatalyst.com\/testprep\/online-test-class-11-physics\/\">MCQ Questions for Class 11 Physics with Answers<\/a> were created using the most recent exam pattern. We have included System of Particles and Rotational Motion Class 11 Physics MCQs Questions with Answers to assist students in fully understanding the concept.<\/p>\n\n\n\n<p>A rigid body is one with particles that are at a fixed distance from each other and remain constant. The geometrical centre is the location of the centre of mass in every regular body. The net torque also produces the turning motion in the rigid body.<\/p>\n\n\n\n<p>Concepts used in describing motion of system of particles and rotation are<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Concepts such as the centre of mass, <\/li><li>torque, angular momentum, <\/li><li>conservation of angular momentum, <\/li><li>the radius of gyration, and <\/li><li>theorems related to perpendicular and parallel axes <\/li><\/ul>\n\n\n\n<p>We have tried to cover questions from all these topics<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">MCQs for Class 11 Physics Chapter 7 System of Particles and Rotational Motion<\/h2>\n\n\n\n<p><strong>General Instructions<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Your test contains multiple-choice questions with only one answer type of questions. There are a total of 25 questions<\/li><li>This is a 60 min test. Please make sure you complete it in the stipulated time<\/li><li>You can finish this test any time using the &#8216;Submit&#8217; button.<\/li><\/ol>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n<script type=\"text\/javascript\" >\ndocument.addEventListener(\"DOMContentLoaded\", function(event) { \nif(!window.jQuery) alert(\"The important jQuery library is not properly loaded in your site. Your WordPress theme is probably missing the essential wp_head() call. You can switch to another theme and you will see that the plugin works fine and this notice disappears. If you are still not sure what to do you can contact us for help.\");\n});\n<\/script>  \n  \n<div  id=\"watupro_quiz\" class=\"quiz-area single-page-quiz\">\n<p id=\"submittingExam299\" style=\"display:none;text-align:center;\">Please wait...<br><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/physicscatalyst.com\/testprep\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\"><\/p>\n\n\n\n<form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-299\"  enctype=\"multipart\/form-data\" >\n<div class='watupro-paginator-wrap watupro-question-paginator-wrap ' style='display:none;'><ul class='watupro-paginator watupro-question-paginator watupro-paginator-custom'><li class=\"rewind-down\" onclick=\"WatuPRO.movePaginator('down', 25);\">&lt;&lt;<\/li><li class='active  decade-1' id='WatuPROPagination1' onclick='WatuPRO.goto(event, 1, true);'>1<\/li><li class='  decade-1' id='WatuPROPagination2' onclick='WatuPRO.goto(event, 2, true);'>2<\/li><li class='  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onclick='WatuPRO.goto(event, 13, true);'>13<\/li><li class='  decade-2' id='WatuPROPagination14' onclick='WatuPRO.goto(event, 14, true);'>14<\/li><li class='  decade-2' id='WatuPROPagination15' onclick='WatuPRO.goto(event, 15, true);'>15<\/li><li class='  decade-2' id='WatuPROPagination16' onclick='WatuPRO.goto(event, 16, true);'>16<\/li><li class='  decade-2' id='WatuPROPagination17' onclick='WatuPRO.goto(event, 17, true);'>17<\/li><li class='  decade-2' id='WatuPROPagination18' onclick='WatuPRO.goto(event, 18, true);'>18<\/li><li class='  decade-2' id='WatuPROPagination19' onclick='WatuPRO.goto(event, 19, true);'>19<\/li><li class='  decade-2' id='WatuPROPagination20' onclick='WatuPRO.goto(event, 20, true);'>20<\/li><li class='  decade-3' id='WatuPROPagination21' onclick='WatuPRO.goto(event, 21, true);'>21<\/li><li class='  decade-3' id='WatuPROPagination22' onclick='WatuPRO.goto(event, 22, true);'>22<\/li><li class='  decade-3' id='WatuPROPagination23' onclick='WatuPRO.goto(event, 23, true);'>23<\/li><li class='  decade-3' id='WatuPROPagination24' onclick='WatuPRO.goto(event, 24, true);'>24<\/li><li class='  decade-3' id='WatuPROPagination25' onclick='WatuPRO.goto(event, 25, true);'>25<\/li><li  class=\"rewind-up\" onclick=\"WatuPRO.movePaginator('up', 25);\">&gt;&gt;<\/li><\/ul><\/div><div class='watu-question ' id='question-1' style=';'><div id='questionWrap-1'  class='   watupro-question-id-5318'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>1. <\/span>If the resultant of all external forces acting on a system of particles is zero, then from an inertial frame one can surely say that<\/div><input type='hidden' name='question_id[]' id='qID_1' value='5318' class='watupro-question-id'\/><input type='hidden' id='answerType5318' class='answerTypeCnt1' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5318'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5318[]' id='answer-id-21140' class='answer   answerof-5318  ' value='21140'   \/><label for='answer-id-21140' id='answer-label-21140' class=' answer'><span>Linear momentum of the system does not change in time<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5318[]' id='answer-id-21141' class='answer   answerof-5318  ' value='21141'   \/><label for='answer-id-21141' id='answer-label-21141' class=' answer'><span>Kinetic energy of the system does not change in time.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5318[]' id='answer-id-21142' class='answer   answerof-5318  ' value='21142'   \/><label for='answer-id-21142' id='answer-label-21142' class=' answer'><span>Angular momentum of the system does not change in time.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5318[]' id='answer-id-21143' class='answer   answerof-5318  ' value='21143'   \/><label for='answer-id-21143' id='answer-label-21143' class=' answer'><span>Potential energy of the system does not change in time.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-2' style=';'><div id='questionWrap-2'  class='   watupro-question-id-5319'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>2. <\/span>This question contains Statement \u2013 1 (assertion) and statement \u2013 2 (reason). Of these statements, mark correct choice if<br \/>\r\n<strong>Statement 1:<\/strong> If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.<br \/>\r\n<strong>Statement 2: <\/strong>The linear momentum of an isolated system remains constant.<br \/>\r\n<\/div><input type='hidden' name='question_id[]' id='qID_2' value='5319' class='watupro-question-id'\/><input type='hidden' id='answerType5319' class='answerTypeCnt2' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5319'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5319[]' id='answer-id-21144' class='answer   answerof-5319  ' value='21144'   \/><label for='answer-id-21144' id='answer-label-21144' class=' answer'><span>Statement - 1 and 2 are true and statement - 2 is a correct explanation of statement - 1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5319[]' id='answer-id-21145' class='answer   answerof-5319  ' value='21145'   \/><label for='answer-id-21145' id='answer-label-21145' class=' answer'><span>Statement -1 and 2 are true and statement - 2 is not a correct explanation of statement - 1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5319[]' id='answer-id-21146' class='answer   answerof-5319  ' value='21146'   \/><label for='answer-id-21146' id='answer-label-21146' class=' answer'><span>Statement \u2013 1 is true and Statement - 2 is false.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5319[]' id='answer-id-21147' class='answer   answerof-5319  ' value='21147'   \/><label for='answer-id-21147' id='answer-label-21147' class=' answer'><span>Statement \u2013 1 is false, statement \u2013 2 is true.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-3' style=';'><div id='questionWrap-3'  class='   watupro-question-id-5320'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>3. <\/span>Four-point masses, each of value $m$, are placed at the corners of a square $ABCD$ of side $l$. The moment of inertia of this system about an axis passing through $A$ and parallel to $BD$ is<\/div><input type='hidden' name='question_id[]' id='qID_3' value='5320' class='watupro-question-id'\/><input type='hidden' id='answerType5320' class='answerTypeCnt3' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5320'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5320[]' id='answer-id-21148' class='answer   answerof-5320  ' value='21148'   \/><label for='answer-id-21148' id='answer-label-21148' class=' answer'><span>$3ml^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5320[]' id='answer-id-21149' class='answer   answerof-5320  ' value='21149'   \/><label for='answer-id-21149' id='answer-label-21149' class=' answer'><span>$ml^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5320[]' id='answer-id-21150' class='answer   answerof-5320  ' value='21150'   \/><label for='answer-id-21150' id='answer-label-21150' class=' answer'><span>$2ml^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5320[]' id='answer-id-21151' class='answer   answerof-5320  ' value='21151'   \/><label for='answer-id-21151' id='answer-label-21151' class=' answer'><span>$\\sqrt3ml^2$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-4' style=';'><div id='questionWrap-4'  class='   watupro-question-id-5321'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>4. <\/span>Moment of inertia of a circular wire of mass M and radius R about its diameter is<\/div><input type='hidden' name='question_id[]' id='qID_4' value='5321' class='watupro-question-id'\/><input type='hidden' id='answerType5321' class='answerTypeCnt4' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5321'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5321[]' id='answer-id-21152' class='answer   answerof-5321  ' value='21152'   \/><label for='answer-id-21152' id='answer-label-21152' class=' answer'><span>$\\frac{1}{2}MR^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5321[]' id='answer-id-21153' class='answer   answerof-5321  ' value='21153'   \/><label for='answer-id-21153' id='answer-label-21153' class=' answer'><span>$\\frac{1}{4}MR^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5321[]' id='answer-id-21154' class='answer   answerof-5321  ' value='21154'   \/><label for='answer-id-21154' id='answer-label-21154' class=' answer'><span>$2MR^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5321[]' id='answer-id-21155' class='answer   answerof-5321  ' value='21155'   \/><label for='answer-id-21155' id='answer-label-21155' class=' answer'><span>$MR^2$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-5' style=';'><div id='questionWrap-5'  class='   watupro-question-id-5322'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>5. <\/span>Initial angular velocity of a circular disc of mass $M$ is $\\omega_1$. Then, two small spheres of mass $m$ are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?<br \/>\r\n<\/div><input type='hidden' name='question_id[]' id='qID_5' value='5322' class='watupro-question-id'\/><input type='hidden' id='answerType5322' class='answerTypeCnt5' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5322'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5322[]' id='answer-id-21156' class='answer   answerof-5322  ' value='21156'   \/><label for='answer-id-21156' id='answer-label-21156' class=' answer'><span>$\\frac{M+m}{M}\\omega_1$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5322[]' id='answer-id-21157' class='answer   answerof-5322  ' value='21157'   \/><label for='answer-id-21157' id='answer-label-21157' class=' answer'><span>$\\frac{M}{M+m}\\omega_1$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5322[]' id='answer-id-21158' class='answer   answerof-5322  ' value='21158'   \/><label for='answer-id-21158' id='answer-label-21158' class=' answer'><span>$\\frac{M}{M+4m}\\omega_1$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5322[]' id='answer-id-21159' class='answer   answerof-5322  ' value='21159'   \/><label for='answer-id-21159' id='answer-label-21159' class=' answer'><span>$\\frac{M}{M+2m}\\omega_1$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-6' style=';'><div id='questionWrap-6'  class='   watupro-question-id-5323'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>6. <\/span>A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along the diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc,<\/div><input type='hidden' name='question_id[]' id='qID_6' value='5323' class='watupro-question-id'\/><input type='hidden' id='answerType5323' class='answerTypeCnt6' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5323'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5323[]' id='answer-id-21160' class='answer   answerof-5323  ' value='21160'   \/><label for='answer-id-21160' id='answer-label-21160' class=' answer'><span>Remains unchanged<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5323[]' id='answer-id-21161' class='answer   answerof-5323  ' value='21161'   \/><label for='answer-id-21161' id='answer-label-21161' class=' answer'><span>Continuously decreases<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5323[]' id='answer-id-21162' class='answer   answerof-5323  ' value='21162'   \/><label for='answer-id-21162' id='answer-label-21162' class=' answer'><span>Continuously increases<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5323[]' id='answer-id-21163' class='answer   answerof-5323  ' value='21163'   \/><label for='answer-id-21163' id='answer-label-21163' class=' answer'><span>First increases and then decreases<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-7' style=';'><div id='questionWrap-7'  class='   watupro-question-id-5324'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>7. <\/span>The dimensions of angular momentum are<\/div><input type='hidden' name='question_id[]' id='qID_7' value='5324' class='watupro-question-id'\/><input type='hidden' id='answerType5324' class='answerTypeCnt7' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5324'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5324[]' id='answer-id-21164' class='answer   answerof-5324  ' value='21164'   \/><label for='answer-id-21164' id='answer-label-21164' class=' answer'><span>$\\left[MLT^{-2}\\right]$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5324[]' id='answer-id-21165' class='answer   answerof-5324  ' value='21165'   \/><label for='answer-id-21165' id='answer-label-21165' class=' answer'><span>$\\left[ML^2T^{-1}\\right]$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5324[]' id='answer-id-21166' class='answer   answerof-5324  ' value='21166'   \/><label for='answer-id-21166' id='answer-label-21166' class=' answer'><span>$\\left[ML^2T^{-2}\\right]$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5324[]' id='answer-id-21167' class='answer   answerof-5324  ' value='21167'   \/><label for='answer-id-21167' id='answer-label-21167' class=' answer'><span>$\\left[ML^2T\\right]$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-8' style=';'><div id='questionWrap-8'  class='   watupro-question-id-5325'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>8. <\/span>The torque $\\tau$ on a body about a given point is found to be equal to $\\vec{A}\\times\\vec{L}$, where $\\vec{A}$ is a constant vector and $\\vec{L}$ is the angular momentum of the body about that point. From this, it follows that<\/div><input type='hidden' name='question_id[]' id='qID_8' value='5325' class='watupro-question-id'\/><input type='hidden' id='answerType5325' class='answerTypeCnt8' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5325'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5325[]' id='answer-id-21168' class='answer   answerof-5325  ' value='21168'   \/><label for='answer-id-21168' id='answer-label-21168' class=' answer'><span>$\\frac{d\\vec{L}}{dt}$ is perpendicular to $\\vec{L}$ at all instants of time <\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5325[]' id='answer-id-21169' class='answer   answerof-5325  ' value='21169'   \/><label for='answer-id-21169' id='answer-label-21169' class=' answer'><span>The component of $\\vec{L}$ in the direction of $\\vec{A}$ does not change with time<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5325[]' id='answer-id-21170' class='answer   answerof-5325  ' value='21170'   \/><label for='answer-id-21170' id='answer-label-21170' class=' answer'><span>The magnitude $\\vec{L}$ does not change with time.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5325[]' id='answer-id-21171' class='answer   answerof-5325  ' value='21171'   \/><label for='answer-id-21171' id='answer-label-21171' class=' answer'><span>all the above<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-9' style=';'><div id='questionWrap-9'  class='   watupro-question-id-5326'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>9. <\/span>A solid sphere of radius $r$ is rolling with velocity $v$ on a smooth plane. The total Kinetic energy of the sphere is<\/div><input type='hidden' name='question_id[]' id='qID_9' value='5326' class='watupro-question-id'\/><input type='hidden' id='answerType5326' class='answerTypeCnt9' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5326'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5326[]' id='answer-id-21172' class='answer   answerof-5326  ' value='21172'   \/><label for='answer-id-21172' id='answer-label-21172' class=' answer'><span>$\\frac{7}{10}mv^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5326[]' id='answer-id-21173' class='answer   answerof-5326  ' value='21173'   \/><label for='answer-id-21173' id='answer-label-21173' class=' answer'><span> $\\frac{3}{4}mv^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5326[]' id='answer-id-21174' class='answer   answerof-5326  ' value='21174'   \/><label for='answer-id-21174' id='answer-label-21174' class=' answer'><span>$\\frac{1}{2}mv^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5326[]' id='answer-id-21175' class='answer   answerof-5326  ' value='21175'   \/><label for='answer-id-21175' id='answer-label-21175' class=' answer'><span>$\\frac{1}{4}mv^2$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-10' style=';'><div id='questionWrap-10'  class='   watupro-question-id-5327'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>10. <\/span>A coin of mass 4.8 Kg and radius one meter is rolling on a horizontal surface without sliding with angular velocity 600 rotations\/min. What is total Kinetic energy of the coin?<\/div><input type='hidden' name='question_id[]' id='qID_10' value='5327' class='watupro-question-id'\/><input type='hidden' id='answerType5327' class='answerTypeCnt10' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5327'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5327[]' id='answer-id-21176' class='answer   answerof-5327  ' value='21176'   \/><label for='answer-id-21176' id='answer-label-21176' class=' answer'><span>$360 J$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5327[]' id='answer-id-21177' class='answer   answerof-5327  ' value='21177'   \/><label for='answer-id-21177' id='answer-label-21177' class=' answer'><span>$1400\\pi^2J$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5327[]' id='answer-id-21178' class='answer   answerof-5327  ' value='21178'   \/><label for='answer-id-21178' id='answer-label-21178' class=' answer'><span>$4000\\pi^2J$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5327[]' id='answer-id-21179' class='answer   answerof-5327  ' value='21179'   \/><label for='answer-id-21179' id='answer-label-21179' class=' answer'><span>$600\\pi^2J$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-11' style=';'><div id='questionWrap-11'  class='   watupro-question-id-5328'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>11. <\/span>Two spheres of masses $M$ and $2M$ are initially at rest at a distance $R$ apart. Due to mutual force of attraction, they approach each other. When they are at separation $R\/2$ the acceleration of their center of mass would be<\/div><input type='hidden' name='question_id[]' id='qID_11' value='5328' class='watupro-question-id'\/><input type='hidden' id='answerType5328' class='answerTypeCnt11' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5328'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5328[]' id='answer-id-21180' class='answer   answerof-5328  ' value='21180'   \/><label for='answer-id-21180' id='answer-label-21180' class=' answer'><span>$0$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5328[]' id='answer-id-21181' class='answer   answerof-5328  ' value='21181'   \/><label for='answer-id-21181' id='answer-label-21181' class=' answer'><span>$g$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5328[]' id='answer-id-21182' class='answer   answerof-5328  ' value='21182'   \/><label for='answer-id-21182' id='answer-label-21182' class=' answer'><span>$3g$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5328[]' id='answer-id-21183' class='answer   answerof-5328  ' value='21183'   \/><label for='answer-id-21183' id='answer-label-21183' class=' answer'><span>$12g$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-12' style=';'><div id='questionWrap-12'  class='   watupro-question-id-5329'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>12. <\/span>In the following question, a statement of assertion is followed by a statement of reason. Mark the correct choice as<br \/>\r\n<strong>Assertion:<\/strong> There are very small sporadic changes in the period of rotation of the earth.<br \/>\r\n<strong>Reason:<\/strong> Shifting of large masses in the earth\u2019s atmosphere produces a change in the moment of inertia of the earth causing its period of rotation to change.<\/div><input type='hidden' name='question_id[]' id='qID_12' value='5329' class='watupro-question-id'\/><input type='hidden' id='answerType5329' class='answerTypeCnt12' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5329'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5329[]' id='answer-id-21184' class='answer   answerof-5329  ' value='21184'   \/><label for='answer-id-21184' id='answer-label-21184' class=' answer'><span>If both assertion ad reason are true and reason is the correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5329[]' id='answer-id-21185' class='answer   answerof-5329  ' value='21185'   \/><label for='answer-id-21185' id='answer-label-21185' class=' answer'><span>If both assertion and reason are true and reason is not correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5329[]' id='answer-id-21186' class='answer   answerof-5329  ' value='21186'   \/><label for='answer-id-21186' id='answer-label-21186' class=' answer'><span>If assertion is true, but reason is false<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5329[]' id='answer-id-21187' class='answer   answerof-5329  ' value='21187'   \/><label for='answer-id-21187' id='answer-label-21187' class=' answer'><span>If both assertion and reason are false<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-13' style=';'><div id='questionWrap-13'  class='   watupro-question-id-5330'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>13. <\/span>In the following question, a statement of assertion is followed by a statement of reason. Mark the correct choice as<br \/>\r\n<strong>Assertion:<\/strong> If polar ice melts, days will be longer.<br \/>\r\n<strong>Reason:<\/strong> Moment of inertia decreases and thus angular velocity increases.<\/div><input type='hidden' name='question_id[]' id='qID_13' value='5330' class='watupro-question-id'\/><input type='hidden' id='answerType5330' class='answerTypeCnt13' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5330'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5330[]' id='answer-id-21188' class='answer   answerof-5330  ' value='21188'   \/><label for='answer-id-21188' id='answer-label-21188' class=' answer'><span>If both assertion ad reason are true and reason is the correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5330[]' id='answer-id-21189' class='answer   answerof-5330  ' value='21189'   \/><label for='answer-id-21189' id='answer-label-21189' class=' answer'><span>If both assertion and reason are true and reason is not correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5330[]' id='answer-id-21190' class='answer   answerof-5330  ' value='21190'   \/><label for='answer-id-21190' id='answer-label-21190' class=' answer'><span>If assertion is true, but reason is false<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5330[]' id='answer-id-21191' class='answer   answerof-5330  ' value='21191'   \/><label for='answer-id-21191' id='answer-label-21191' class=' answer'><span>If both assertion and reason are false<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-14' style=';'><div id='questionWrap-14'  class='   watupro-question-id-5331'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>14. <\/span>In the following question, a statement of assertion is followed by a statement of reason. Mark the correct choice as<br \/>\r\n<strong>Assertion:<\/strong> The size and the shape of the rigid body remains unaffected under the effect of external forces.<br \/>\r\n<strong>Reason:<\/strong> The distance between two particles remains constant in a rigid body<\/div><input type='hidden' name='question_id[]' id='qID_14' value='5331' class='watupro-question-id'\/><input type='hidden' id='answerType5331' class='answerTypeCnt14' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5331'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5331[]' id='answer-id-21192' class='answer   answerof-5331  ' value='21192'   \/><label for='answer-id-21192' id='answer-label-21192' class=' answer'><span>If both assertion ad reason are true and reason is the correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5331[]' id='answer-id-21193' class='answer   answerof-5331  ' value='21193'   \/><label for='answer-id-21193' id='answer-label-21193' class=' answer'><span>If both assertion and reason are true and reason is not correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5331[]' id='answer-id-21194' class='answer   answerof-5331  ' value='21194'   \/><label for='answer-id-21194' id='answer-label-21194' class=' answer'><span>If assertion is true, but reason is false<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5331[]' id='answer-id-21195' class='answer   answerof-5331  ' value='21195'   \/><label for='answer-id-21195' id='answer-label-21195' class=' answer'><span>If both assertion and reason are false<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-15' style=';'><div id='questionWrap-15'  class='   watupro-question-id-5332'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>15. <\/span>In the following question, a statement of assertion is followed by a statement of reason. Mark the correct choice as<br \/>\r\n<strong>Assertion:<\/strong> A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion).<br \/>\r\n<strong>Reason:<\/strong> For perfect rolling motion, work done against friction is zero<\/div><input type='hidden' name='question_id[]' id='qID_15' value='5332' class='watupro-question-id'\/><input type='hidden' id='answerType5332' class='answerTypeCnt15' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5332'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5332[]' id='answer-id-21196' class='answer   answerof-5332  ' value='21196'   \/><label for='answer-id-21196' id='answer-label-21196' class=' answer'><span>If both assertion ad reason are true and reason is the correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5332[]' id='answer-id-21197' class='answer   answerof-5332  ' value='21197'   \/><label for='answer-id-21197' id='answer-label-21197' class=' answer'><span>If both assertion and reason are true and reason is not correct explanation of assertion.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5332[]' id='answer-id-21198' class='answer   answerof-5332  ' value='21198'   \/><label for='answer-id-21198' id='answer-label-21198' class=' answer'><span>If assertion is true, but reason is false<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5332[]' id='answer-id-21199' class='answer   answerof-5332  ' value='21199'   \/><label for='answer-id-21199' id='answer-label-21199' class=' answer'><span>If both assertion and reason are false<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-16' style=';'><div id='questionWrap-16'  class='   watupro-question-id-5333'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>16. <\/span>A disc is rolling and the velocity of its center of mass is.<br \/>\r\nWhich one will be correct?<\/div><input type='hidden' name='question_id[]' id='qID_16' value='5333' class='watupro-question-id'\/><input type='hidden' id='answerType5333' class='answerTypeCnt16' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5333'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5333[]' id='answer-id-21200' class='answer   answerof-5333  ' value='21200'   \/><label for='answer-id-21200' id='answer-label-21200' class=' answer'><span>The velocity of the highest point is $2v_{cm}$ and the point of contact is zero.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5333[]' id='answer-id-21201' class='answer   answerof-5333  ' value='21201'   \/><label for='answer-id-21201' id='answer-label-21201' class=' answer'><span>The velocity of the highest point is $v_{cm}$ and the point of contact is v_{cm}<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5333[]' id='answer-id-21202' class='answer   answerof-5333  ' value='21202'   \/><label for='answer-id-21202' id='answer-label-21202' class=' answer'><span>The velocity of the highest point is ${2v}_{cm}$ and the point of contact is v_{cm}<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5333[]' id='answer-id-21203' class='answer   answerof-5333  ' value='21203'   \/><label for='answer-id-21203' id='answer-label-21203' class=' answer'><span>The velocity of the highest point is ${2v}_{cm}$ and the point of contact is ${2v}_{cm}$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-17' style=';'><div id='questionWrap-17'  class='   watupro-question-id-5334'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>17. <\/span>Identify the vector quantity among the following<\/div><input type='hidden' name='question_id[]' id='qID_17' value='5334' class='watupro-question-id'\/><input type='hidden' id='answerType5334' class='answerTypeCnt17' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5334'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5334[]' id='answer-id-21204' class='answer   answerof-5334  ' value='21204'   \/><label for='answer-id-21204' id='answer-label-21204' class=' answer'><span>distance<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5334[]' id='answer-id-21205' class='answer   answerof-5334  ' value='21205'   \/><label for='answer-id-21205' id='answer-label-21205' class=' answer'><span>angular momentum<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5334[]' id='answer-id-21206' class='answer   answerof-5334  ' value='21206'   \/><label for='answer-id-21206' id='answer-label-21206' class=' answer'><span>heat<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5334[]' id='answer-id-21207' class='answer   answerof-5334  ' value='21207'   \/><label for='answer-id-21207' id='answer-label-21207' class=' answer'><span>energy<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-18' style=';'><div id='questionWrap-18'  class='   watupro-question-id-5335'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>18. <\/span>Find the torque of the force $\\vec{F}=-3\\hat{i}+\\hat{j}+5\\hat{k}N$ acting at the point $\\vec{r}=7\\hat{i}+3\\hat{j}+\\hat{k}$<\/div><input type='hidden' name='question_id[]' id='qID_18' value='5335' class='watupro-question-id'\/><input type='hidden' id='answerType5335' class='answerTypeCnt18' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5335'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5335[]' id='answer-id-21208' class='answer   answerof-5335  ' value='21208'   \/><label for='answer-id-21208' id='answer-label-21208' class=' answer'><span>$-21\\hat{i}+4\\hat{j}+4\\hat{k}$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5335[]' id='answer-id-21209' class='answer   answerof-5335  ' value='21209'   \/><label for='answer-id-21209' id='answer-label-21209' class=' answer'><span>$-14\\hat{i}+34\\hat{j}-16\\hat{k}$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5335[]' id='answer-id-21210' class='answer   answerof-5335  ' value='21210'   \/><label for='answer-id-21210' id='answer-label-21210' class=' answer'><span>$14\\hat{i}-38\\hat{j}+16\\hat{k}$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5335[]' id='answer-id-21211' class='answer   answerof-5335  ' value='21211'   \/><label for='answer-id-21211' id='answer-label-21211' class=' answer'><span>$4\\hat{i}+4\\hat{j}+6\\hat{k}$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-19' style=';'><div id='questionWrap-19'  class='   watupro-question-id-5336'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>19. <\/span>A circular disc is to be made by using iron and aluminum so that it acquired maximum moment of inertia about geometrical axis. It is possible with<\/div><input type='hidden' name='question_id[]' id='qID_19' value='5336' class='watupro-question-id'\/><input type='hidden' id='answerType5336' class='answerTypeCnt19' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5336'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5336[]' id='answer-id-21212' class='answer   answerof-5336  ' value='21212'   \/><label for='answer-id-21212' id='answer-label-21212' class=' answer'><span>Aluminum interior and iron surround to it<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5336[]' id='answer-id-21213' class='answer   answerof-5336  ' value='21213'   \/><label for='answer-id-21213' id='answer-label-21213' class=' answer'><span>iron interior and aluminum surround to it<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5336[]' id='answer-id-21214' class='answer   answerof-5336  ' value='21214'   \/><label for='answer-id-21214' id='answer-label-21214' class=' answer'><span>using iron and aluminum layers in alternate order<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5336[]' id='answer-id-21215' class='answer   answerof-5336  ' value='21215'   \/><label for='answer-id-21215' id='answer-label-21215' class=' answer'><span>sheet of iron is used at both external surfaces and aluminum sheet as the internal layer<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-20' style=';'><div id='questionWrap-20'  class='   watupro-question-id-5337'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>20. <\/span>A ring of mass m and radius r rotates about an axis passing through its center and perpendicular to its plane with angular velocity $\\omega$. Its kinetic energy is<\/div><input type='hidden' name='question_id[]' id='qID_20' value='5337' class='watupro-question-id'\/><input type='hidden' id='answerType5337' class='answerTypeCnt20' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5337'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5337[]' id='answer-id-21216' class='answer   answerof-5337  ' value='21216'   \/><label for='answer-id-21216' id='answer-label-21216' class=' answer'><span>$\\frac{1}{2}mr^2\\omega^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5337[]' id='answer-id-21217' class='answer   answerof-5337  ' value='21217'   \/><label for='answer-id-21217' id='answer-label-21217' class=' answer'><span>$mr\\omega^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5337[]' id='answer-id-21218' class='answer   answerof-5337  ' value='21218'   \/><label for='answer-id-21218' id='answer-label-21218' class=' answer'><span>$mr^2\\omega^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5337[]' id='answer-id-21219' class='answer   answerof-5337  ' value='21219'   \/><label for='answer-id-21219' id='answer-label-21219' class=' answer'><span>$ \\frac{1}{2}mr\\omega^2$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-21' style=';'><div id='questionWrap-21'  class='   watupro-question-id-5338'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>21. <\/span>The ratio of radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is<\/div><input type='hidden' name='question_id[]' id='qID_21' value='5338' class='watupro-question-id'\/><input type='hidden' id='answerType5338' class='answerTypeCnt21' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5338'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5338[]' id='answer-id-21220' class='answer   answerof-5338  ' value='21220'   \/><label for='answer-id-21220' id='answer-label-21220' class=' answer'><span>$2:3$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5338[]' id='answer-id-21221' class='answer   answerof-5338  ' value='21221'   \/><label for='answer-id-21221' id='answer-label-21221' class=' answer'><span>$2:1$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5338[]' id='answer-id-21222' class='answer   answerof-5338  ' value='21222'   \/><label for='answer-id-21222' id='answer-label-21222' class=' answer'><span>$\\sqrt5:\\sqrt6$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5338[]' id='answer-id-21223' class='answer   answerof-5338  ' value='21223'   \/><label for='answer-id-21223' id='answer-label-21223' class=' answer'><span>$1:\\sqrt2$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-22' style=';'><div id='questionWrap-22'  class='   watupro-question-id-5339'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>22. <\/span>The ratio of the radii of gyration of a circular disc to that of circular ring, each of same mass, each of same mass and same radius about their axes is<\/div><input type='hidden' name='question_id[]' id='qID_22' value='5339' class='watupro-question-id'\/><input type='hidden' id='answerType5339' class='answerTypeCnt22' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5339'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5339[]' id='answer-id-21224' class='answer   answerof-5339  ' value='21224'   \/><label for='answer-id-21224' id='answer-label-21224' class=' answer'><span>$\\sqrt3:\\sqrt2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5339[]' id='answer-id-21225' class='answer   answerof-5339  ' value='21225'   \/><label for='answer-id-21225' id='answer-label-21225' class=' answer'><span>$1:\\sqrt2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5339[]' id='answer-id-21226' class='answer   answerof-5339  ' value='21226'   \/><label for='answer-id-21226' id='answer-label-21226' class=' answer'><span>$\\sqrt2:1$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5339[]' id='answer-id-21227' class='answer   answerof-5339  ' value='21227'   \/><label for='answer-id-21227' id='answer-label-21227' class=' answer'><span>$\\sqrt2:\\sqrt3$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-23' style=';'><div id='questionWrap-23'  class='   watupro-question-id-5340'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>23. <\/span>A disc is rotating with angular speed \\omega. If the child sits on it, what is conserved<\/div><input type='hidden' name='question_id[]' id='qID_23' value='5340' class='watupro-question-id'\/><input type='hidden' id='answerType5340' class='answerTypeCnt23' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5340'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5340[]' id='answer-id-21228' class='answer   answerof-5340  ' value='21228'   \/><label for='answer-id-21228' id='answer-label-21228' class=' answer'><span>linear momentum<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5340[]' id='answer-id-21229' class='answer   answerof-5340  ' value='21229'   \/><label for='answer-id-21229' id='answer-label-21229' class=' answer'><span>angular momentum<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5340[]' id='answer-id-21230' class='answer   answerof-5340  ' value='21230'   \/><label for='answer-id-21230' id='answer-label-21230' class=' answer'><span>kinetic energy<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5340[]' id='answer-id-21231' class='answer   answerof-5340  ' value='21231'   \/><label for='answer-id-21231' id='answer-label-21231' class=' answer'><span>potential energy<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-24' style=';'><div id='questionWrap-24'  class='   watupro-question-id-5341'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>24. <\/span>A solid sphere, disc and solid cylinder all of the same mass and made of same material are allowed to roll down (from rest) on the inclined plane, then<\/div><input type='hidden' name='question_id[]' id='qID_24' value='5341' class='watupro-question-id'\/><input type='hidden' id='answerType5341' class='answerTypeCnt24' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5341'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5341[]' id='answer-id-21232' class='answer   answerof-5341  ' value='21232'   \/><label for='answer-id-21232' id='answer-label-21232' class=' answer'><span>solid sphere reaches the bottom first<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5341[]' id='answer-id-21233' class='answer   answerof-5341  ' value='21233'   \/><label for='answer-id-21233' id='answer-label-21233' class=' answer'><span>solid cylinder reaches the bottom first<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5341[]' id='answer-id-21234' class='answer   answerof-5341  ' value='21234'   \/><label for='answer-id-21234' id='answer-label-21234' class=' answer'><span>disc will reach the bottom first<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5341[]' id='answer-id-21235' class='answer   answerof-5341  ' value='21235'   \/><label for='answer-id-21235' id='answer-label-21235' class=' answer'><span>all reach the bottom at the same time<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-25' style=';'><div id='questionWrap-25'  class='   watupro-question-id-5342'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>25. <\/span>The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its mid-point and perpendicular to its length is $I_0$. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is<\/div><input type='hidden' name='question_id[]' id='qID_25' value='5342' class='watupro-question-id'\/><input type='hidden' id='answerType5342' class='answerTypeCnt25' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices5342'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5342[]' id='answer-id-21236' class='answer   answerof-5342  ' value='21236'   \/><label for='answer-id-21236' id='answer-label-21236' class=' answer'><span>$I_0+\\frac{ML^2}{2}$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5342[]' id='answer-id-21237' class='answer   answerof-5342  ' value='21237'   \/><label for='answer-id-21237' id='answer-label-21237' class=' answer'><span>$I_0+\\frac{ML^2}{4}$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5342[]' id='answer-id-21238' class='answer   answerof-5342  ' value='21238'   \/><label for='answer-id-21238' id='answer-label-21238' class=' answer'><span>$I_0+2ML^2$<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-5342[]' id='answer-id-21239' class='answer   answerof-5342  ' value='21239'   \/><label for='answer-id-21239' id='answer-label-21239' class=' answer'><span>$I_0+ML^2$<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div style='display:none' id='question-26'>\n\t<div class='question-content'>\n\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/physicscatalyst.com\/testprep\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\" \/>&nbsp;Loading...\t<\/div>\n<\/div>\n\n<br \/>\n\t\n\t\t\t<div class=\"watupro_buttons flex \" id=\"watuPROButtons299\" >\n\t\t  <div id=\"prev-question\" style=\"display:none;\"><input type=\"button\" value=\"&lt; Previous\" onclick=\"WatuPRO.nextQuestion(event, 'previous');\"\/><\/div>\t\t  \t\t  \t\t   \n\t\t   \t  \t\t<div><input type=\"button\" name=\"action\" class=\"watupro-submit-button\" onclick=\"WatuPRO.submitResult(event)\" id=\"action-button\" value=\"Submit\"  \/>\n\t\t<\/div>\n\t\t<\/div>\n\t\t\n\t<input type=\"hidden\" name=\"quiz_id\" value=\"299\" id=\"watuPROExamID\"\/>\n\t<input type=\"hidden\" name=\"start_time\" id=\"startTime\" value=\"2026-04-25 14:46:24\" \/>\n\t<input type=\"hidden\" name=\"start_timestamp\" id=\"startTimeStamp\" value=\"1777128384\" \/>\n\t<input type=\"hidden\" name=\"question_ids\" value=\"\" \/>\n\t<input type=\"hidden\" name=\"watupro_questions\" value=\"5318:21140,21141,21142,21143 | 5319:21144,21145,21146,21147 | 5320:21148,21149,21150,21151 | 5321:21152,21153,21154,21155 | 5322:21156,21157,21158,21159 | 5323:21160,21161,21162,21163 | 5324:21164,21165,21166,21167 | 5325:21168,21169,21170,21171 | 5326:21172,21173,21174,21175 | 5327:21176,21177,21178,21179 | 5328:21180,21181,21182,21183 | 5329:21184,21185,21186,21187 | 5330:21188,21189,21190,21191 | 5331:21192,21193,21194,21195 | 5332:21196,21197,21198,21199 | 5333:21200,21201,21202,21203 | 5334:21204,21205,21206,21207 | 5335:21208,21209,21210,21211 | 5336:21212,21213,21214,21215 | 5337:21216,21217,21218,21219 | 5338:21220,21221,21222,21223 | 5339:21224,21225,21226,21227 | 5340:21228,21229,21230,21231 | 5341:21232,21233,21234,21235 | 5342:21236,21237,21238,21239\" \/>\n\t<input type=\"hidden\" name=\"no_ajax\" value=\"0\">\t\t\t<\/form>\n\t<p>&nbsp;<\/p>\n<\/div>\n\n<script type=\"text\/javascript\">\n\/\/jQuery(document).ready(function(){\ndocument.addEventListener(\"DOMContentLoaded\", function(event) { \t\nvar question_ids = \"5318,5319,5320,5321,5322,5323,5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342\";\nWatuPROSettings[299] = {};\nWatuPRO.qArr = question_ids.split(',');\nWatuPRO.exam_id = 299;\t    \nWatuPRO.post_id = 1886;\nWatuPRO.store_progress = 0;\nWatuPRO.curCatPage = 1;\nWatuPRO.requiredIDs=\"0\".split(\",\");\nWatuPRO.hAppID = \"0.76050300 1777128384\";\nvar url = \"https:\/\/physicscatalyst.com\/testprep\/wp-content\/plugins\/watupro\/show_exam.php\";\nWatuPRO.examMode = 1;\nWatuPRO.siteURL=\"https:\/\/physicscatalyst.com\/testprep\/wp-admin\/admin-ajax.php\";\nWatuPRO.emailIsNotRequired = 0;\nWatuPROIntel.init(299);\nWatuPRO.inCategoryPages=1;});    \t \n<\/script>\n\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n","protected":false},"excerpt":{"rendered":"<p>On this page find NCERT MCQ Questions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion with Answers. These MCQ Questions for Class 11 Physics with Answers were created using the most recent exam pattern. We have included System of Particles and Rotational Motion Class 11 Physics MCQs Questions with Answers to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[24],"tags":[],"class_list":["post-1886","post","type-post","status-publish","format-standard","hentry","category-class-11-physics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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