JEE PHYSICS MCQ: OSCILLATIONS

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A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force.

F = {F_0}\sin \omega t

If the amplitude of the particle is maximum for ω=

{\omega _1}

and the energy of the particle is maximum for ω=

{\omega _2}

then

View answer and explanation

Correct option: C

{\omega _1} \ne {\omega _0}\,\,\mathrm{and}\,\,{\omega _2} = {\omega _0}

Option C (

{\omega _1} \ne {\omega _0}\,\,\mathrm{and}\,\,{\omega _2} = {\omega _0}

) is correct because amplitude resonance occurs at a frequency slightly less than the natural frequency, while energy (or velocity) resonance occurs at the natural frequency.

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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.
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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)