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JEE PHYSICS MCQ: OSCILLATIONS

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The motion of a simple pendulum executing S.H.M. is represented by the following equation.

y = A\sin \left( {\pi t + \phi } \right)

, where time is measured in second. The length of pendulum is

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Correct option: C

99.4 cm

Option C (99.4 cm) is correct because the length of the pendulum is calculated using the relation between angular frequency and length,

\ell = \frac{g}{{{\pi ^2}}}

.

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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

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. 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)