Home
Class 11
PHYSICS
For a particle executing SHM, the displa...

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`

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 positions `(x = + A)`.
At time `t = o`, `x = A`. Hence, `PE` should be maximum. Therefore, graph `I` is correct. Furhter in graph III, `PE` is minimum at `x = 0`. Hence, this is also correct.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    DC PANDEY ENGLISH|Exercise Example Type 12|1 Videos

  • SIMPLE HARMONIC MOTION

    DC PANDEY ENGLISH|Exercise Example Type 13|3 Videos

  • SIMPLE HARMONIC MOTION

    DC PANDEY ENGLISH|Exercise Example Type 10|1 Videos

  • SEMICONDUCTORS AND ELECTRONIC DEVICES

    DC PANDEY ENGLISH|Exercise More than One Option is Correct|3 Videos

  • SOLVD PAPERS 2017 NEET, AIIMS & JIPMER

    DC PANDEY ENGLISH|Exercise Solved paper 2018(JIPMER)|38 Videos

Similar Questions

Explore conceptually related problems

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 kinetic energy (K) is given by K = K_(0)cos^(2) omegat . The equation for its displacement is

Which of the following graphs best represents the variation of acceleration 'a' with displacement x?

Identify the correct variation of potential energy U as a function of displacement x from mean position (or x^(2) ) of a harmonic oscillator ( U at mean position = 0 )

Variation of acceleration a of a particle executing SHM with displacement x is

Assertion : x-t equation of a particle in SHM is given as : x=A "cos"omegat Reason : In the given equation the minimum potential energy is zero.

A particle undergoing SHM has the equation x=A"sin"(2omegat+phi) , where x represents the displacement of the particle. The kinetic energy oscillates with time period

Which represents correct difference when non-volatile solute is present in an ideal solution? (a)I, II, III (b)I, III (c)II, III (d)I, II

The variation of the acceleration (f) of the particle executing S.H.M. with its displacement (X) is represented by the curve

The displacement of a progressive wave is represented by y = A sin (omegat - kx), where x is distance and t is time. Write the dimensional formula of (i) omega and (ii) k.

Home
Profile