This page contains physics sample paper class 11 for term 1. You can practice this sample paper after you complete the term one syllabus. This paper includes questions from following chapters. Click respective chapters if you want to get class 11 notes. 1. Units and Measurements 2. Motion in a Straight Line 3. Motion in a Plane 4. Laws of Motion 5. Work, Energy and Power

## physics sample paper class 11 for term 1

**General Instructions:**

**All questions are compulsory.****Questions 1 to 5 carry one mark each.****Questions 6 to 10 carry two marks each.****Questions 11 to 22 carry three marks each.****Question 23 carries four marks.****Questions 24 to 26 carry five marks each.**

**Question 1.** The linear momentum of an object is doubled. How does its K.E. change?

**Question 2.** If ‘g’ is acceleration due to gravity and $\lambda$ is wavelength, then which physical quantity represents $\sqrt \lambda g$?

**Question 3.** State the number of significant figures in (i) 0.07 m^{2} (ii) 2.064 x 10^{24}kg

**Question 4. **What is the angle between two non-zero vectors $\vec A$ and $\vec B$ if $(\vec A + \vec B)=(\vec A – \vec B)$?

**Question 5. ** Explain why is a punch more forceful with a bare fist than with a boxing glove?

**Question 6** When the angle between two vectors of equal magnitude is $\frac{2 \pi}{3}$ , prove that the magnitude of their resultant is equal to either of them.

**Question 7** The frequency of oscillation $\nu$ of a mass $m$ suspended from a massless spring of , spring constant $k$ is given by a relation $\nu = am^{x}k^{y}$ where, $a$ is a dimensionless constant find the values of $x$ and $y$.

**Question 8** Prove work — energy theorem for a constant force.

**Question 9** Why a man getting out of a moving bus runs in the same direction fora certain distance?

**Question 10** Prove that the centre of mass of two particles system divides the line joining the particles in the inverse ratio of their masses.

**Question 11** Derive third equation of motion by calculus method.

**Question 12** a) Write two applications of Dimensional Analysis.

- b) The frequency of vibration or a string depends on

(i) Tension in the string

(ii) Mass per unit length of string

(iii) Vibrating length of the string.

Establish dimensionally the relation for frequency.

**Question 13 **(a) Define centripetal acceleration.

(b) A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 30 m, he applies brakes and reduces his speed at the constant rate 0.5 m/s^{2}. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?

**Question 14** A bullet of mass 0.01 Kg travelling with a speed of 500 m/s strikes a block of mass 2 Kg which is suspended by a string of length 5 m. The center of gravity of block is found to rise a vertical distance of 0.1 m. What is the speed of bullet after it emerges from the block?

**Question 15** (a) $\vec{A}$ and $\vec{B}$ are two vectors and $\theta$ is the angle between tham. If $|\vec{A} \times \vec{B}| = \sqrt{3}(\vec{A}\cdot\vec{B})$ , calculate the value of $\theta$

(b) Find the component of $\vec{A}=2\hat{i}+3\hat{j}$ along the direction of $(\hat{i}+\hat{j})$.

**Question 16** What are conservative forces? Show that gravitational force is conservative.

**Question 17** (a) When a person jumps out of a boat on the bank of a river, the boat is pushed back in the river. Why?

(b) With the help of a neat diagram, explain why is it easier to pull lawn mower than to push it.

**Question 18** A stream of water flowing horizontally with a speed of 15 m/s gushes out a tube of cross-sectional area 10^{-2}m^{2}, and hits a vertical wall nearby. What is the force exerted on the wall by the impact of water, assuming it does not rebound.

**Question 19** Two blocks of mass 5 Kg and 9 Kg are connected by a string of negligible mass that passes over a frictionless pulley.

The inclines are frictionless. Find (a) the magnitude of the acceleration of each block and (b) the tension in the string. Take g = 10 ms^{-2}.

**Question 20** Show that Newton’s second law is real law of motion.

**Question 21** (a) The length of second’s hand of a watch is 1 cm. What is the change in velocity of its tip in 15 seconds?

(b) A jet airplane travelling at a speed of 500 km/h ejects its products of combustion at the speed of 1500 km/h relative to the jet plane. What is the speed of the latter with respect to an observer on the ground?

**Question 22** A steel ball of radius r is allowed to fall under gravity through a viscous liquid of coefficient of viscosity . After sometime the ball attains a constant velocity V_{T}(terminal velocity). It depends upon

(i) Weight of the ball ‘mg’

(ii) Coefficient of viscosity

(iii) Radius of the ball ‘r’.

By method of dimensions determine the relation for terminal velocity.

**Question 23** Sid went to a circus show along with his parents. There he saw an item named “globe of death”, where he saw a person riding a motor cycle moving in vertical circles inside the globe. Sid was amazed because the motorcyclist did not fall even he was upside down at the upper part of his vertical loop inside the globe of death. After viewing the show, when he returned to his home, he asked his father about this. His father explained him the basic principle of successful looping the vertical loop by the motorcyclist.

(a) What values were displayed by Sid and his father?

(b) What is the minimum speed at the lowest and highest point if a motorcyclist loops in a vertical loop of diameter 50 m without dropping down even at the uppermost point?

(c) Write the net force on a body of mass ‘m’ tied to one end of a string revolved in a vertical circle of radius ‘R’ at the lowest (F_{low}) and highest (F_{high}) point of the circle directed vertically downwards.

**Question 24** (a) Obtain the expression for (i) Time of flight, (ii) Maximum height and (iii) Horizontal range for a projectile making an angular projection with the horizontal.

(b) A projectile fired with an initial velocity $u$ , making an angular projection with the horizontal can have the same horizontal range for two angles of projection. If $T_1$ and $T_2$ are the time of flights in the two cases, then prove that

$$T_1T_2=\frac{2R$}{g}$$

**Question 25** With the help of a suitable diagram, show that in an elastic one dimensional collision between two bodies, the relative velocity of approach before collision is equal to the relative velocity of separation after collision. Hence find their velocities after collision.

**Question 26** What is meant by banking of roads? A car is negotiating a circular turn, of radius $r$ , on a road that has been banked at an angle $\theta$. Obtain an expression for the maximum safe speed with which a car can take a safe turn on this road. Take $\mu$ as the coefficient of friction between the car tyres and the road.

(b) An aircraft executes a loop at a speed of 720 Km/h with its wings banked at 15^{0}. What is the radius of the loop?

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### Further references for physics sample paper class 11

- Move Fast with Physics – Class XI (SL Arora) :- This is a good book for getting lots of problems with solutions. I highly recommend this book
- Get physics sample class 11 with solutions for downloads