QUESTION BANK FOR CLASS XI PHYSICS - oscillations

O S C I L L A T I O N

1. What is a simple harmonic motion? State its characteristics.
2. What will be the effect on time period, if the amplitude of a simple pendulum increases?
3. Define force constant of a spring. Show that in S.H.M, the acceleration is directly proportional to its displacement at the given instant.
4. Show that for a particle in linear simple harmonic motion ,the average kinetic energy over a period of oscillation, equals the average potential energy over the same period.
5. At what distance from the mean position, is the K.E in simple harmonic oscillator equal to P.E ?
6. A body weighing 10 Kg has a velocity of 6m/s, after one second of starting from the mean position .If the time period is 6 second, find the kinetic , potential and total energy.(180 J,720J, 540 J.)
7. A body is execution S.H.M. of amplitude 1m. Its velocity while passing through the mean position is 10m/s. Find its frequency.(1.592Hz.)
8. The periodic time of a body executing S.H.M, is 2 seconds . After how much interval from t =0, will its displacement be half of its amplitude ? (1/6 sec.)
9. A particle executing S.H.M.along a straight line has a velocity of 4m/sec, when at a distance of 3m from its mean position and 3m/sec , when at a distance of 4m from it.Find the time it takes to travel 2.5m from the positive extremity of its oscillation.(a=5m,w=1rad/sec.)
10. The shortest distance traveled by a particle executing S.H.M. from mean position in 2 seconds is equal to /2 times its amplitude .Determine its time period. (T= 12 sec)
11. A particle executes S.H.M. of amplitude a. At what distance from the mean position is its kinetic energy equal to its potential energy.
12. Show that for a particle in linear S.H.M. the average kinetic energy over a period of oscillation equals the average potential energy over the same period.
13. A spring balance has a scale that reads 50 Kg . The length of the scale is 20 cm. A body ,suspended from this spring is when displaced and released , it oscillates with period of 0.60 s. What is the weight of the body.(22.36 Kgf).
14. A spring of force constant 1200 N/m is mounted on a horizontal table .A mass of 3 Kg is attached to the free end of the spring , pulled sideways to a distance of 2cm and released .(a) What is the frequency of oscillation of the mass? (b) What is the maximum acceleration of the mass? (c) What is the maximum speed of the mass?
15. The acceleration due to gravity on the surface of moon is 1.7 m/s2.What is the time period of a simple pendulum on the moon if its time period is 3.5 sec on the earth? (8.4 sec)
16. A pendulum clock normally shows correct time. On an extremely cold day, its length decreases by 0.2%. Compute the error in time per day.(86.4%)
17. What do you understand by Simple Harmonic Motion? Explain its geometrical interpretation.
18. Explain displacement, velocity, acceleration, and time period of a simple harmonic motion. Find relation between them.
19. Explain the relation in phase between displacement, velocity and acceleration in S.H.M. graphically as well as theoretically.
20. Find the total energy of a particle executing S.H.M. and show graphically the variation of P.E and K.E with time in S.H.M. What is the frequency of these Energies w.r.t the frequency of the particle executing S.H.M.
21. Explain the oscillation of a loaded spring and find the relations for the time period and frequency in case of (i) horizontal spring (ii) vertical spring.
22. Distinguish between free, forced, and resonant oscillation with illustration.
23. What is spring constant? Find its value in case of two springs connected in (i)series, (ii) parallel.