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Q.

A sample of oxygen at N.T.P has volume V and sample of hydrogen at N.T.P has volume 4V. Both are mixed and the mixture is maintained at N.T.P. If the speed of sound in hydrogen at N.T.P is 1270 m/s, then speed of sound (in ms−1) in the mixture will be

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answer is 635.

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Detailed Solution

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Let density of Hydrogen be ρ,then that of Oxygen is 16ρ

ρmixture=(4V)ρ+V(16ρ)4V+V

⇒ρmixture=4ρ

VH2=1270=γpρ

vmixture=γp4ρ=12(1270)

⇒vmixture=635ms-1

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