EASY

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The phase difference between displacement and particle velocity of a longitudinal wave is $°$ .

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Important Questions on Wave Motion on a String

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A simple harmonic motion is represented by:

y = 5 (\sin 3 π t + \sqrt{3} \cos 3 π t) cm

The amplitude and time period of the motion are:

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A simple wave motion is represented by $y = 5 (\sin 4 π t + \sqrt{3} \cos 4 π t)$ . Its amplitude is

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

Which of the following equations represents a travelling wave?

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A transverse wave is represented by

y = 2 \sin (ω t - k x) cm

. The value of wavelength (in

cm

) for which the wave velocity becomes equal to the maximum particle velocity, will be

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A progressive wave moving along X-axis is represented by

y = A \sin [\frac{2 π}{λ} (v t - x)]

. The wavelength

(λ)

at which the maximum particle velocity is

3

times the wave velocity is:

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

When a sound wave of wavelength

λ

. is propagating in a medium, the 'maximum velocity' of the particle is equal to the wave velocity. The amplitude of wave is

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A wave pulse is generated in a string that lies along

x

-axis. At the points

A

and B, as shown in the figure, if

R_{A}

and

R_{B}

are the ratio of wave speed to the particle speed respectively then :

Question Image

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

If the equation of transverse wave is

y = \sin (k x - 2 t)

, then the maximum particle velocity is

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A mass and spring system oscillates with amplitude

A

and angular frequency

ω

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

The plane wave represented by an equation of the form

y = f (x - v t)

implies the propagation along the positive x-axis without change of shape with constant velocity

v

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A transverse wave is represented by the equation

y = y_{0} \sin 2 π [f t - \frac{x}{λ}] .

If maximum particle velocity is half of the wave velocity, then

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

When a wave travels in a medium, the particle displacement is given by the equation

Y = a \sin 2 π (b t - c x)

where,

a, b

and

c

are constant. The maximum particle velocity will be twice the wave velocity, if

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A transverse sinusoidal wave of amplitude

a

, wavelength

λ

and frequency

f

is travelling on a stretched string. The maximum speed of any point on the string is

\frac{V}{10}

, where

V

is the speed of propagation of the wave. If

a = 10^{- 3} m

and

V = 10 m s^{- 1}

then

λ

and

f

are given by

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

A transverse wave along a string is given by

y = 2 \sin (2 π (3 t - x) + \frac{π}{4}),

where,

x

and

y

are in

cm

and

t

in second. Find the acceleration of a particle located at

x = 4 cm

t = 1 s

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

Corresponding to the $y - t$ graph of a transverse harmonic wave shown in the figure, choose the correct options at same position.

Question Image

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

The figure shows a transverse wave travelling in a string in negative

x

-axis direction. Three points

A, B

and

C

are indicated on the string at the instant shown
Question Image

The correct statement(s) is/are

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

The displacement of particles in a string stretched in

x -

direction is represented by

y

. Among the following expressions for

y

, those describing wave motion are:

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

When a wave travels in a medium, displacement of a particle is given by

y = a \sin [2 π (b t - c x)]

where a, b, c are constants. The maximum particle velocity will be twice the wave velocity if

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

When a sound wave of frequency

300 Hz

passes through a medium, the maximum displacement of a particle of the medium is

0.1 cm

. The maximum velocity of the particle is equal to

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Velocity and Acceleration of Particles in Wave Motion

Let a disturbance

y

be propagated as a plane wave along the

x

-axis. The wave profiles at the instants

t = t_{1}

and

t = t_{2}

are represented respectively as:

y_{1} = f (x_{1} - v t_{1})

and

y_{2} = f (x_{2} - v t_{2}) .

The wave is propagating without change of shape.

The phase difference between displacement and particle velocity of a longitudinal wave is °.

Important Questions on Wave Motion on a String

Learn and Prepare for any exam you want !

The phase difference between displacement and particle velocity of a longitudinal wave is $°$ .