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Question

The time period of sound is increased by 4 times. Find the ratio of the new speed to the old speed.

A
1
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B
2
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C
4
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D
8
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Solution

The correct option is A 1
Speed of sound in a medium is a characteristic of the medium and temperature.
vTρM
where:
v: Speed of sound
T: Temperature
ρ: Density
M: Molecular Mass of the medium

Increasing time period decreases the frequency of the wave.
v=fλ still holds because wavelength increases to maintain the speed of the wave in the medium.

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