Test Series-4

### Instructions

• Your test contains 12 multiple choice questions with only one answer
• This is 30 min test.Please make sure you complete it in stipulated time
• You can Finish this test any time using 'Submit' button.
• Once finished you get a chance to review all question with correct answers and their solutions.
• You will be awarded (2) marks each for indicated correct response of each question.

1.A body whose kinetic Energy is E is project at an angle 60 .Find out the Kinetic energy at the highest point
• E
• zero
• 3E/4
• E/2

2. A particle is moving in the x-y plane with
x=at
y=bt2
where a and b are constant
Find the trajactory of the particle?
• parabola
• circle
• straight line
• none of these

3.A body of 1 kg is acted by the following forces
F1=2i+3j+4k
F2=4i-3j-(24)1/2k
F3=-2i+3j-4k
Find the magnitude of the acceleration
• 7
• 4
• 3
• 10

4.If the change in the value of g at height H above the surface of the earth is the same as that at a depth D below it, then (both h and d are much smaller than the radius of the earth) the ratio (H/D + D/H ) is
• 1/2
• 3/2
• 2
• 5/2

5.A spring weighing machine inside a stationary lift read W N weight when a stone is kept on it.What will be the reading when the lift start moving downward with acceleration a
• W(1-a/g)
• W(1+a/g)
• W
• none of these

6.Boyle's law is an example of a ?
• Latent Heat Process
• Isothermal Process
• Isochoric Process

7.An electron(charge =1.6*10-19 C) moves with a speed 2*106 m/s along the positive x- direction in a magnetic Field B=(i-3j-4k) tesla.Force experienced by the electron in Newton
• 1.6*10-12 N
• 1.4*10-12 N
• 1.6*10-13 N
• 1.2*10-12 N

8.A hollow metal sphere of radius 10 cm is charged such that potential on its surface is 10 V
Four statement are stated
STATEMENT -1: The Potential at the center is 10 V
STATEMENT -2: All the charged reside at the outer surface
STATEMENT -3: Potential at a point 5 cm away from the surface is 10 V
STATEMENT -4: Potential at a point 5 cm from the center of the sphere is 10 V
which one of the following is correct
• All the statement are correct
• Statement 1,2 and 4 are correct
• Statement 1,2 and 3 are correct
• Statement 2,3 and 4 are correct

9.According to Kirchoff's Ist law ,the algebric sum of the currents flowing towards a branch point is
• greater then zero
• equal to zero
• greater or less than zero
• less than zero

10.A train sounds its whistle as it approaches and leaves a station.An man at the station measures a frequency of 200 Hz as the train approaches and a frequency of 180 Kz as the train leave.Find the speed of the train. Speed of the sound is given as 340 m/s
• 17.89 m/s
• 19.89 m/s
• 16.91 m/s
• 17 m/s

11.The trajectory of a projectile in a vertical plane is given by
y=2x-4x2
where x and y are the horizontal and vertical distance
STATEMENT A: The angle of projection is given by tan-12
STATEMENT B:The Range of the Projectile is .5 units
• A and B both are correct
• Only A is correct
• Only B is correct
• Both A and B are wrong

12.An circular coil of radius R consists of N turns of wire.The current in the wire is I.Let B is the magnetic field at the center of the coil Which of the following is true
• B=μ0NI/R
• B=μ0I/2R
• B=μ0NI/4R
• none of these

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