Waves Test

Result

Waves Test - 59

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Weekly Quiz Competition

Question 1
4 / -1

Two uniform strings A and B made of steel are made to vibrate under the same tension, if the first overtone of A is equal to the second overtone of B and if the radius of A is twice that of B, the ratio of the lengths of the strings is

A
1 : 2

B
1 : 3

C
1 : 4

D
1 : 6

Solution
Question 2
4 / -1

If the length of a stretched string is shortened by 40% and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies is

A
2 : 1

B
3 : 2

C
3 : 4

D
1 : 3

Solution
Question 3
4 / -1

Two wires are fixed in a sonometer. Their tensions are in the ratio 8:1. The lengths are in the ratio 36:35. The diameters are in the ratio 4 : 1. Densities of the materials are in the ratio 1 : 2. If the lower frequency in the setting is 360 Hz. the beat frequency when the two wires are sounded together is

A
5

B
8

C
6

D
10

Solution
Question 4
4 / -1

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 0.05

A

B

C

D

Solution
Question 5
4 / -1

A tuning fork of frequency 392 Hz, resonates with 50 cm length of a string under tension (T). If length of the string is decreased by 2%, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously is

A
4

B
6

C
8

D
12

Solution
Question 6
4 / -1

The sound carried by air from a sitar to a listener is a wave of the following type

A
Longitudinal stationary

B
Transverse progressive

C
Transverse stationary

D
Longitudinal progressive
Question 7
4 / -1

In Melde\'s experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the strings are in the

A
1 : 1

B
1 : 2

C
2 : 1

D
4 : 1
Question 8
4 / -1

The frequency of transverse vibrations in a stretched string is 200 Hz. If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be

A
25 Hz

B
200 Hz

C
400 Hz

D
1600 Hz

Solution
Question 9
4 / -1

Two wires are producing fundamental notes of the same frequency. Change in which of the following factors of one wire will not produce beats between them?

A
Amplitude of the vibrations

B
Material of the wire

C
Stretching force

D
Diameter of the wires

Solution
Question 10
4 / -1

The fundamental frequency of a string stretched with a weight of 4 kg is 256 Hz. The weight required to produce its octave is

A
4 kg wt

B
8 kg wt

C
12 kg wt

D
16 kg wt

Solution