Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 20

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IMPORTANT

Earn 100

A particle has simple harmonic motion. The equation of its motion is $x = 5 \sin (4 t - \frac{π}{6})$ where $x$ is its displacement. If the displacement of the particle is $3$ units, then its velocity is

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Important Questions on Oscillations

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IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 21

Two simple harmonic motions of angular frequency

100

and

1000 rad s^{- 1}

have the same displacement amplitude. The ratio of their maximum accelerations is

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IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 22

The variation of acceleration

a

and displacement

x

of the particle executing

S . H . M .

is indicated by which of the following curves?

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IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 23

The resultant of two simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by,

\frac{π}{2}

is

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 1

A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest, its time period is

T

. With what acceleration should the lift be accelerated upwards in order to reduce its period to

\frac{T}{2}

? (

g

is the acceleration due to gravity)

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 2

The kinetic energy and the potential energy of a particle executing

SHM

are equal. The ratio of its displacement and amplitude will be,

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Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 3

A particle performs

S . H . M .

with amplitude

25 cm

and period

3 s

. The minimum time required for it to move between two points

12.5 cm

on either side of the mean position is

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IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 4

A simple pendulum attached to the ceiling of a stationary lift has a time period

T

. The distance

y

covered by the lift moving upwards varies with time

t

as,

y = t^{2}

, where

y

is in

metres

and

t

in

\sec

. If

g = 10 m s^{- 2}

, then the time period of the pendulum will be,

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IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 3>Q 5

If the length of a simple pendulum is comparable to the radius of the earth, then find the time period for oscillation.