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Speed of Sound

Out of the fo...

Question

Out of the following gases under similar condition of temperature and pressure, the velocity of sound will be maximum in

A

hydrogen

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B

nitrogen

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C

oxygen

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D

chlorine

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Solution

The correct option is A hydrogen
Velocity of the sound in gas
$ν = \sqrt{\frac{γ R T}{M}}$
where the symbols have their usual meanings,
All the given gases are diatomic and are at same temperature,
$ν \propto= \sqrt{\frac{1}{M}}$

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