EASY

Earn 100

Total energy of a body in Simple harmonic motion depends on

50% studentsanswered this correctly

Important Questions on Oscillations

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

The physical quantity conserved in simple harmonic motion is

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

Sound waves of wavelength

λ

and velocity

v

in medium-

1

enter medium-

2

. If their velocity in medium-

2

4 v

, the wavelength in medium-

2

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A particle performs

S . H . M .

with amplitude

A

. Its speed is tripled at the instant when it is at a distance of

\frac{2 A}{3}

from the mean position. The new amplitude of the motion is

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A hospital uses an ultrasonic scanner to locate tumors in a tissue. The operating frequency of the scanner is

4.2 MHz .

The speed of sound in a tissue is

1.7 km / s .

The wavelength of sound in the tissue is

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A steel wire has a length of

90 cm

which is under a constant tension of

100 N .

The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel wire to be

6 \times 10^{- 3} kg

)

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A simple pendulum oscillates harmonically about

x = 0

with an amplitude

A

and time period

T

. Its speed at

x = A / 2

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A particle executing S.H.M. has velocities

v_{1}

and

v_{2}

at distance

x_{1}

and

x_{2}

respectively from mean position. The angular velocity

(ω)

of the particle is given by

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

The oscillation of a body on a smooth horizontal surface is represented by the equation,

X = A \cos (ω t)

, where

X =

displacement at time

t

ω =

frequency of oscillation,

a =

acceleration at time

t

and

T =

time period.
Which one of the following graph shows correctly the variation

a

with

t

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A uniform thin rope of length

12 m

and mass

6 kg

hangs vertically from a rigid support and a block of mass

2 kg

is attached to its free end. A transverse short wave train of wavelength

6 cm

is produced at the lower and the rope. What is the wavelength of the wave train (in

cm

) when it reaches the top of the rope?

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A particle is executing SHM along a straight line. Its velocities at distances

x_{1}

and

x_{2}

from the mean position are

V_{1}

and

V_{2}

respectively. Its time period is:

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A particle executes S.H.M., the graph of velocity as a function of displacement is :

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

An observer on the sea shore observes

54

waves reaching the coast per minute. If the wavelength is

10 m

, the velocity of the wave is

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A body is executing S.H.M. Its potential energy is

E_{1}

and

E_{2}

at displacements

x

and

y

respectively. The potential energy at displacement

(x + y)

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal?

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

Total energy of a particle performing S.H.M. is NOT proportional to

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A body of mass $1 kg$ is executing simple harmonic motion. Its displacement $y (cm)$ at $t$ seconds is given by $y = 6 \sin (100 t + \frac{π}{4})$ . Its maximum kinetic energy is

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A simple pendulum of length

L

has mass

M

and it oscillates freely with amplitude

A

. At the extreme position, its potential energy is (

g

= acceleration due to gravity)

EASY

General Science>Physics>Oscillations>Simple Harmonic Motion

A particle is executing a simple harmonic motion. Its maximum acceleration is

α

and maximum velocity is

β

. Then, its time period of vibration will be:

Total energy of a body in Simple harmonic motion depends on

Important Questions on Oscillations

Learn and Prepare for any exam you want !