Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is

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answer is A.

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Detailed Solution

Density of mixture =ρmix=VO2ρO2+VH2ρH2VO2+VH2=VρO2+ρH22 V=ρO2+ρH22 since VO2=VH2=V=ρH2+16ρH22=8.5ρH2⇒v∝1ρ⇒VmixVH2=ρH2ρmix=ρH28.5ρH2≈18

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