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Class 11 Physics: Oscillations
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MCQs on periodic and oscillatory motions, simple harmonic and uniform circular motions, simple harmonic motion energy and execution, damped simple harmonic motion, forced oscillations and resonance.

Class 11 Physics: Oscillations
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25 Questions

1. A spring mass system is hanging from the ceiling of a lift. It has been like this for quite some time. Suddenly the cables holding the lift are cut. What will be the amplitude of oscillation of the block when observed by a person standing (of mass M) in the lift?
2. A spring block system is on a horizontal surface. The block is compressed by 10cm. What should be the coefficient of friction between the block and ground such that the block comes to a stop at the mean position? Mass of block = 0.5kg & spring constant = 3N/m.
3. Consider the damped SHM of a spring mass system. If the time taken for the amplitude to become half is 'T', what is the time taken for mechanical energy to become half?
4. In SHM, force at extreme position is zero. True or False?
5. Resonance occurs when frequency of forced oscillations is close to natural frequency. True or False?
6. Find the effective spring constant.
7. In a SHM, for what value of w, will the magnitude of maximum acceleration be greater than the magnitude of maximum velocity? Here, w is angular frequency.
8. A particle is executing SHM and currently going towards the amplitude. If it is at A/2, what is the relation between the direction of velocity and acceleration?
9. A particle has an equation of motion given by: x = cos2wt – sin2wt. Select the correct statement regarding the same.
10. Force on particle, of mass 'm', undergoing SHM is given by: F = -kx. What is the relation between x and angular frequency w?
11. A particle is undergoing SHM. If its potential energy is given by: U = kx2. What will be the value of x for potential energy to be 1/3rd of kinetic energy? Assume k is force constant.
12. Which of the following factors affects the time period of a simple pendulum?
13. What will happen to the time period of a simple pendulum if temperature of the surroundings is significantly increased?
14. A ball tied to the end of a string of length 10cm is rotated with constant speed of 2m/s in a circle about the origin. Find the equation of projection of the ball on the x-axis. At t=0, the ball makes an angle of 45° with the x-axis & is travelling in anticlockwise direction.
15. The curves given below are that of position(x), velocity(v) & acceleration(a) vs time. What can we infer about the value of angular frequency 'f' from the given curves?
16. The angular speed of a body in uniform circular motion is the same as the angular frequency of SHM of its projection. True or False?
17. If the block is displaced by 'x' from the mean position, what will be the time period of oscillations?
18. If a body in uniform circular motion covers the given angle in 0.5s, what is the time period of projection, on the x-axis, undergoing SHM? Assume it moves anti-clockwise.
19. A particle in uniform circular motion is projected on its diameter. The motion of projection will be simple harmonic. Select the correct option regarding speed and acceleration of the particle in circular motion.
20. What is the relation between time periods of the two given SHMs.
21. A ball is hanging from a thread. It is given some speed such that the ball makes a complete circle under the influence of gravity. The projection of the ball on the x-axis will be an SHM. True or False?
22. Damping force on a spring mass system is proportional to which of the following quantities?
23. A particle starts from the extreme position, at t = 0, in a SHM. If the time period of motion is 2s & maximum speed is 5m/s, find the equation of motion.
24. A particle is initially at the centre and going towards the left. Let T be the time period of the SHM it is undergoing. What will be its position and velocity at time 3T/4, if it starts from the centre at t=0?
25. What is the amplitude of motion for x = 2sin(2t) + 4sin2t ?

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