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Question

The speed of sound in hydrogen at NTP 1270 m/s. Then, the speed in a mixture of hydrogen and oxygen in the ratio 4 : 1 by volume will be :

A
317 m/s
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B
635 m/s
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C
830 m/s
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D
950 m/s
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Solution

The correct option is B 635 m/s
The volume of hydrogen and oxygen in a mixture is 4 : 1. So let V be the volume of oxygen. The volume of hydrogen will be 4V if ρm be the density of mixture, then
ρm=4V×1+V×15V=4
V(1ρ)1/2
Velocity in mixture =1270(4)3/2=635m/s

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