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JEE PHYSICS MCQ: OSCILLATIONS

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A body is executing simple harmonic motion. When the displacements from the mean position is

4 {~cm}

and

5 {~cm}

, the corresponding velocities of the body are

10 {~cm} / {sec}

and

8 {~cm} / {sec}

. Then the time period of the body is

View answer and explanation

Correct option: C

\pi\, {sec}

Option C (

\pi \text{{ sec}}

) is correct because it is the calculated time period using the given velocities and displacements in simple harmonic motion.

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Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions.

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x

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y

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a

. When the PE of a particle is one-fourth of its maximum value during the oscillation, its displacement from the equilibrium position will be The displacement, velocity and acceleration in a simple harmonic motion are related as the Assertion: Angular velocity of earth around sun is lesser than the angular velocity of moon about earth.
Reason: Time taken by moon revolve around earth is less than time taken by earth to revolve around sun. A particle is executing

SHM

. At a displacement

{y_1}

its potential energy is

{U_1}

and at a displacement

{y_2}

its potential energy is

{U_2}

. The potential energy of the particle at displacement

\left( {{y_1} + {y_2}} \right)