Waves Test

Result

Waves Test - 78

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Weekly Quiz Competition

Question 1
4 / -1

The (x, y) coordinates of the corners of a square plate are (0, 0), (L, 0), (L, L) and (0, L). The edges of the plate are clamped and transverse standing waves are set up in it. If u(x, y) denotes the displacement of the plate at the point (x, y) at some instant of time, the possible expression(s) for u is(are) (a = positive constant)

A

B

C

D

Solution
Question 2
4 / -1

A transverse sinusoidal wave of amplitude a, wavelength λ, and frequency n is travelling on a stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If a =10^–3 m and v = 10 ms^–1, then λ and n are given by

A

B

C

D

Solution
Question 3
4 / -1

As a wave propagates

A
The wave intensity remains constant for a plane wave

B
The wave intensity decreases as the inverse of the distance from the source for a spherical wave

C
The wave intensity decreases as the inverse square of the distance from the source for a spherical wave

D
Total intensity of the spherical wave over the spherical surface centered at the source remains constant at all times

Solution
Question 4
4 / -1

A
Pulse is moving in positive x-direction

B
In 2 s it will travel a distance of 2.5 m

C
Its maximum displacement is 0.16 m

D
It is a symmetric pulse

Solution
Question 5
4 / -1

In a wave motion y = a sin (kx – ωt), y can represent

A
Electric field

B
Magnetic field

C
Displacement

D
Pressure
Question 6
4 / -1

Standing waves can be produced

A
On a string clamped at both the ends

B
On a string clamped at one end and free at the other

C
When incident waves gets reflected from a wall

D
When two identical waves with a phase difference of 11 are moving in the same direction
Question 7
4 / -1

The intensity of a progressing plane wave in loss-free medium is

A
Directly proportional to the square of amplitude of the wave

B
Directly proportional to the velocity of the wave

C
Directly proportional to the square of frequency of the wave

D
Inversely proportional to the density of the medium

Solution
Question 8
4 / -1

It is desired to increase the fundamental resonance frequency in a tube which is closed at one end. This can be achieved by

A
Replacing the air in the tube by hydrogen gas

B
Increasing the length of the tube

C
Decreasing the length of the tube

D
Opening the closed end of the tube

Solution
Question 9
4 / -1

The displacement of a particle in string stretched in X direction is represented by y. Among the following expressions for y, those describing wave motions are

A
cos kx sin ωt

B
k²x² – ω²t²

C
cos (kx + ωt)

D
cos (k²x² – ω²t²)

Solution
Question 10
4 / -1

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air-column is the second resonance. Then,

A
The intensity of the sound heard at the first resonance was more than that at the second resonance

B
The prongs of the tuning fork were kept in a horizontal plane above the resonance tube

C
The amplitude of vibration of the ends of the prongs is typically around 1 cm

D
The length of the air-column at the first resonance was somewhat shorter than 1/4th of the wavelength of the sound in air

Solution