Oscillations
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Oscillations
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25 Questions

1. The potential energy of a simple harmonicoscillator when the particle is half way to its end point is[2003]
2. A mass m is vertically suspended from a spring ofnegligible mass the system oscillates with a frequency n.What will be the frequency of the system - if a mass 4 mis suspended from the same spring? [1998]
3. A particle of mass m oscillates with simpleharmonic motion between points x1 and x2 - theequilibrium position being OIts potential energy isplottedIt will be as given below in the graph[2003]
4. A simple pendulum performs simple harmonicmotion about x =0 with an amplitude a and time periodTThe speed of the pendulum at x = a/2 will be: [2009]
5. In case of a forced vibration - the resonance wavebecomes very sharp when the [2003]
6. In a simple harmonic motion - when thedisplacement is one-half the amplitude - what fraction ofthe total energy is kinetic? [1996]
7. The phase difference between the instantaneousvelocity and acceleration of a particle executing simpleharmonic motion is [2007]
8. The damping force on an oscillator is directlyproportional to the velocityThe units of the constant ofproportionality are: [2012]
9. A particle moving along the X-axis - executessimple harmonic motion then the force acting on it isgiven by [1988]
10. A hollow sphere is filled with waterIt is hung by along threadAs the water flows out of a hole at thebottom - the period of oscillation will [1997]
11. If the length of a simple pendulum is increased by2% - then the time period [1997]
12. A point performs simple harmonic oscillation ofperiod T and the equation of motion is given by x = a sin(ωt + π/6)After the elapse of what fraction of the timeperiod the velocity of the point will be equal to half of itsmaximum velocity? [2008]
13. Two simple harmonic motions of angularfrequency 100 and 1000 rad s -“1 have the samedisplacement amplitudeThe ratio of their maximumaccelerations is: [2008]
14. A wave has S.H.M (Simple Harmonic Motion)whose period is 4 seconds while another wave whichalso possess SHM has its period 3 secondsIf both arecombined - then the resultant wave will have the periodequal to [1993]
15. A body is executing S.H.MWhen the displacementsfrom the mean position are 4 cm and 5 cm - thecorresponding velocities of the body are 10 cm per secand 8 cm per secThen the time period of the body is[1991]
16. A linear harmonic oscillator of force constant 2 ×106 N/m and amplitude 0.01 m has a total mechanicalenergy of 160 JIts [1996]
17. A particle is executing a simple harmonic motion ofamplitude aIts potential energy is maximum when thedisplacement from the position of the maximum kineticenergy is [2002]
18. The time period of a simple pendulum is 2 seconds.If its length is increased by 4-times - then its periodbecomes [1999]
19. The amplitude of a pendulum executing dampedsimple harmonic motion falls to 1/3 the original valueafter 100 oscillationsThe amplitude falls to S times theoriginal value after 200 oscillations - where S is [2002]
20. Two simple pendulums of length 5m and 20mrespectively are given small linear displacement in onedirection at the same timeThey will again be in thephase when the pendulum of shorter length hascompleted ......oscillations [1998]
21. A simple harmonic oscillator has an amplitude A andtime period TThe time required by it to travel from x =A to x = A/2 is [1992]
22. If a simple harmonic oscillator has got adisplacement of 0.02 m and acceleration equal to 2.0m/s2 at any time - the angular frequency of the oscillatoris equal to [1992]
23. A particle executes simple harmonic oscillationwith an amplitude aThe period of oscillation is TTheminimum time taken by the particle to travel half of theamplitude from the equilibrium position is [2007]
24. Which one of the following equations of motionrepresents simple harmonic motion? [2009]
25. Which one of the following statements is true forthe speed v and the acceleration a of a particle executingsimple harmonic motion? [2004]

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