JEE PHYSICS MCQ: OSCILLATIONS

1 Medium

1 of 1

Application +4 | -1

A simple pendulum of length

1 \mathrm{~m}

and having a bob of mass

100 \mathrm{~g}

is suspended in a car. moving on a circular track of radius

100 \mathrm{~m}

with uniform speed

10 \mathrm{~m} / \mathrm{s}

If the pendulum makes small oscillation in a radial direction about its equilibrium position, then its time period can be given by

T=2 \pi / \alpha^{1 / 4}

The value of

\alpha

is

[Take

\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2

]

View answer and explanation

Correct option: C

101

Option C (101) is correct because the time period of the pendulum is affected by the centripetal acceleration of the car, and the effective acceleration is used to calculate the time period.

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)