Back to OSCILLATIONS

JEE PHYSICS MCQ: OSCILLATIONS

1 Medium

1 of 1

Understanding +4 | -1

If a simple harmonic is represented by

\frac{{{d^2}x}}{{d{t^2}}}

+ \alpha x = 0

,its time period is

View answer and explanation

Correct option: B

\frac{{2\pi }}{{\sqrt \alpha }}

Option B is correct because the time period of a simple harmonic motion is given by

T = \frac{{2\pi}}{{\omega}}

, where

\omega = \sqrt{{\alpha}}

in this case.

More Questions from OSCILLATIONS

Practice All Chapter MCQs →

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)