Home
Class 12
PHYSICS
For a particle executing (SHM) the displ...

For a particle executing (SHM) the displacement (x) is given by `(x = A) cos (omega) t`. Identify the graph which represents the variation of potential energy (PE) as a function of time (t) and displacement (x).
(##JMA_CHMO_C10_006_Q01##), (##JMA_CHMO_C10_006_Q02##).

A

`I, III`

B

`II, IV`

C

`II, III`

D

`I, IV`

Text Solution

Verified by Experts

The correct Answer is:
A
Potential energy is minimum (in this case zero) at mean position `(x = 0)` and maximum at extreme position `(x = +-A)`.
At time `t = 0, x= A` Hence, PE should be maximum. Therefore, graph is correct. Further is graph III. PE is minimum at ` x= 0`. Hence this is also correct.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise MCQ s one or more than one correct answers|5 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Match The Column|9 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-05 [A]|39 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

For a particle executing S.H.M. the displacement x is given by x= A cos omegat . Identify the graph which represents the variation of potential energy (P.E.) as a function of time

For a particle executing simple harmonic motion, the displacement x is given by x= Acosomegat . Identify the graph, which represents the variation of potential energy (U) as a function of time t and displacement x.

For a particle executing SHM, the displacement x is given by x = A cos omegat . Identify the graph which represents the variation of potential energy (PE) as a function of time t and displacement x . (a) I, III (b) II, IV (c ) II, III (d) I, IV

A particle is executing S.H.M. along a straight line. The graph showing the variation of kinetic, potential and total energy K, U and T respectively with displacement is -

The displacement x of the body is motion is given by x=A sin (omega t+ theta) , Determine the time at which the displacement is maximum.

The displacement of a particle executing a S.H.M. is given by x= A "sin" omega t +A "cos" omega t . What is the amplitude of motion ?

If the displacement of a particle executing S.H.M. is given by x = 0.24 sin (400 t + 0.5)m, then the maximum velocity of the particle is