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JEE PHYSICS MCQ: OSCILLATIONS

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A particle starts executing simple harmonic motion (SHM) of amplitude

a

and total energy

E

. At any instant, its kinetic energy is

\frac{{3E}}{4}

, then its displacement

y

is given by

View answer and explanation

Correct option: D

y = \frac{a}{2}

Option D (

y = \frac{a}{2}

) is correct because it is derived from the relationship between kinetic energy, total energy, amplitude, and displacement in SHM.

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

Reason: The resultant force on the particle is zero at these positions. A particle is subjected simultaneously to two SHM’s one along the

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)