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JEE PHYSICS MCQ: OSCILLATIONS

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Application +4 | -1

In case of simple harmonic motion, if the velocity is plotted along the

X

-axis and the displacement from the equilibrium position is plotted along the

Y

-axis, the resultant curve happens to be an ellipse with the ratio

\frac{\text { major axis }(\text { along } X)}{\text { minor axis }(\text { along } Y \text { ) }}=20 \pi

.
What is the frequency of the simple harmonic motion?

View answer and explanation

Correct option: C

10 {~Hz}

Option C (

10 {~Hz}

) is correct because it is derived from the ratio of the major and minor axes of the ellipse representing 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

-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)