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JEE PHYSICS MCQ: OSCILLATIONS

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The maximum acceleration of a particle in SHM is made two times keeping the maximum speed to be constant. It is possible when

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Correct option: C

frequency is doubled while amplitude is halved

Option C (frequency is doubled while amplitude is halved) is correct because maximum acceleration is

\omega^2 A

and maximum speed is

\omega A

. To double acceleration while keeping speed constant,

\omega

must double and

A

must halve.

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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

-axis and the other along the

y

-axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute A particle is executing SHM with amplitude

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)