CLASS 11 PHYSICS OSCILLATIONS IMPORTANT CONCEPT BASED QUESTIONS

 OSCILLATIONS

1. What is periodic motion? Give some examples.

2. What is oscillatory motion?  Give some examples

3. State Fourier theorem.

4. Every oscillatory motion is necessarily periodic but every periodic motion need not be oscillatory. Justify.

5. Define harmonic functions.

6. Is the function sin⍵t + cos⍵t  periodic?   If yes, give the period. (⍵ is any positive constant).

7. What is simple harmonic motion? Give examples.

8. Give some important features of S.H.M.

9. Write down the differential equation for S.H.M. and give its solution.  Also obtain an expression for time period of S.H.M.

10.  Define the following:

1. Amplitude

2. Frequency

3. Angular frequency

4. Time period

5. Oscillation

6. Phase

7. Displacement

8. Epoch

11. Derive an expression for the displacement of a particle in S.H.M.

12. Derive an expression for the velocity of a particle executing S.H.M..  When is it (i) maximum and (ii) minimum?

13. Derive an expression for the acceleration of a particle executing S.H.M.  

14. Draw displacement - time, velocity - time, acceleration - time graphs for a particle in S.H.M

15. The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (ωt + φ ).  If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle? The angular frequency of the particle is π s–1.

16. A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body?

 

17. The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?

18. Derive expression for the K.E. and P.E. of a simple harmonic oscillation.  Hence show that the total energy is conserved in S.H.M.  

19. In which positions of the oscillations, the energy is wholly kinetic or wholly potential?

20. Derive an expression for the time period of the horizontal oscillations of a massless loaded spring.

21. Derive an expression for the time period of the vertical oscillations of a massless loaded spring.  Does it depend on acceleration due to gravity?

22. Show that for small oscillations, the motion of a simple pendulum is simple harmonic. Derive an expression for its time period.  Does it depend on the mass of the bob?

 

23. Answer the following:

1.  A man with a wristwatch on his hand falls from the top of a tower. Does the watch give the correct time during the free fall?

2. What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity?

24. A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm (b) 3 cm (c) 0 cm.