MEDIUM

Earn 100

What do you understand by the interference of waves? Explain constructive and destructive interference of waves.

Important Questions on Waves

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

The equations of two waves are given by :

$y_{1} = 5 \sin 2 π (x - v t) cm$

$y_{2} = 3 \sin 2 π (x - v t + 1.5) cm$

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two waves of the same kind and of the same amplitude

A

superpose at a point with a phase difference of

φ

between them. Find the resultant amplitude (R).

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

The sources of sound

A

and

B

produce a wave of

350 Hz

in same phase. A particle

P

is vibrating under an influence of these two waves. If the amplitudes at

P

produced by the two waves is

0.3 mm

and

0.4 mm

, the resultant amplitude of the point

P

will be, when

A P - B P = 25 cm

and the velocity of sound is

350 m s^{- 1}

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two simple harmonic waves having equal amplitudes of

8 cm

and equal frequency of

10 Hz

are moving along the same direction. The resultant amplitude is also

8 cm

. The phase difference between the individual waves is _____ degree.

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two harmonic travelling waves are described by the equations

y_{1} = a \sin (k x - ω t)

and

y_{2} = a \sin (- k x + ω t + ϕ)

The amplitude of the superposed wave is

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the

\sqrt{3}

times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two waves are simultaneously passing through a string and their equations are :

y_{1} = A_{1} \sin k (x - v t), y_{2} = A_{2} \sin k (x - v t + x_{0}) .

Given amplitudes

A_{1} = 12 mm

and

A_{2} = 5 mm

x_{0} = 3.5 cm

and wave number

k = 6.28 {cm}^{- 1} .

The amplitude of resulting wave will be _____

mm .

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

A body is suspended from a string of length

1 m

and mass

2 g

. The mass of the body to produce a fundamental mode of

100 Hz

frequency in the string is
(Acceleration due to gravity

= 10 m s^{- 2}

)

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelength of each progressive wave is

λ

. The wavelength of the stationary wave is

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

The amplitude and frequency of two waves is same which are from two different sources, overlap at a point. The ratio of intensity when two waves arrive

(\frac{π}{2})

out of phase to when they arrive in phase is

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

A transverse wave along a stretched string has a speed of

30 m s^{- 1}

and a frequency of

250 Hz

. The phase difference between two points on the string,

10 cm

apart, at the same instant is

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

The distance between two points differing in phase by

60 °

on a wave having wave velocity

360 m s^{- 1}

and frequency

500 Hz

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Three sinusoidal waves with the same angular frequency but with different amplitudes

A, \frac{A}{2}, \frac{A}{3}

and phase angles

0, \frac{π}{2}

and

π

respectively move along the same direction and superpose with each other. The amplitude of the resultant wave is given by

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Three harmonic waves having equal frequency

v

and same intensity

I_{0}

, have phase angles

0, \frac{π}{4}

and

- \frac{π}{4}

respectively. When they are superimposed the intensity of the resultant wave is close to:

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

The displacement

y

of a particle, if given by

y = 4 \cos^{2} (\frac{t}{2}) \sin (1000 t) .

This expression may be considered to be a result of the superposition of how many simple harmonic motions?

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two progressive waves having equation

x_{1} = 3 \sin ω t

and

x_{2} = 4 \sin (ω t + 90^{o})

are super imposed. The amplitude of the resultant wave is :

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

Two waves represented by

y = a \sin (ω t - k x)

and

y = a \cos (ω t - k x)

are superposed. The resultant wave will have an amplitude

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

The superposition takes place between two waves of frequency

f

and amplitude

a

. The total intensity is directly proportional to

HARD

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves and Interference

A person standing at a distance of $6 m$ from a source of sound receives sound wave in two ways, one directly from the source and others after reflection from a rigid boundary as shown in the diagram. The maximum wavelength for which, the person will receive maximum sound intensity, is

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What do you understand by the interference of waves? Explain constructive and destructive interference of waves.

Important Questions on Waves

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