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151.
A closed argon pipe and an open argon pipe are tuned to the same fundamental frequency. What is the ratio of their lengths?

1:2

2:1

2:3

4:3

1:2

The fundamental (first harmonic) for an open-end pipe needs to be an antinode

at both ends, since the air can move at both ends. The lowest frequency is called the

fundamental frequency or the 1st harmonic. The higher frequencies are called overtones.

Avoiding end correction, the length of the closed organ pipe is

$l_{1} = \frac{λ_{1}}{4} or λ_{1} = 4 l_{1} The length of open organ pipe is l_{2} = \frac{λ_{2}}{2} or λ_{2} = 2 l_{2} here, n_{1} = n_{2} so \frac{v}{λ_{1}} = \frac{ν}{λ_{2}} or \frac{ν}{4 l_{1}} = \frac{ν}{2 l_{2}} Therefore, l_{1} : l_{2} = 1 : 2$

152.

There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork?

100 Hz
99 Hz
96 Hz
103 Hz

153.

A person is observing two trains one coming towards him and other leaving with the same
velocity 4 m/s. If their whistling frequencies are 240 Hz each, then the number of beats per second heard by the person will be : ( if velocity of sound 320 m/s)

3
6
9
zero

154.

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distance of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is

155.

Two vibrating tuning forks produce progressive waves given by y₁ = 4 sin 500 πt and y₂ = 2 sin 506 Πt. Number of beats produced per minute is

156.

An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ?

Zero
0.5 %
5 %
20 %

157.

The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room A?

2
4
$\frac{1}{2}$
1

158.

Which one of the following statements is true?

Both light and sound waves in air are transverse
The sound waves in air are longitudinal while the light waves are transverse
Both light and sound waves in air are longitudinal
Both light and sound waves can travel in vacuum

159.

A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is the frequency of tuning fork? (v = 332 m/s)

300 Hz
350 Hz
375 Hz
415 Hz

160.

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency $v_{1}$ and the other with frequency $v_{2}$ The ratio $\frac{v_{1}}{v_{2}}$ is