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Question

On a dry day, sound travels a certain distance in 10 seconds. What is the time required for sound to travel the same distance on a humid day. The densities of dry air and humid air are in the ratio 3:2 :

A
8.165 sec
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B
7.165 sec
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C
5.165 sec
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D
4.165 sec
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Solution

The correct option is A 8.165 sec
Time taken for sound to travel a certain distance on a dry day=10second
Densities of dry air and humid air are in the ratio 3:2
Let time taken for sound to travel the same distance on the humid day be tn

vdvh=ρhρd=23
vh=3/2vd=1.224v
vhvd=tdth
or, th=tdvdvh=10vd/(1.224vd)=8.165 sec.

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