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Q.

A sample of oxygen at NTP has volume V and a sample of hydrogen at NTP has the volume 4V Both the gases are mixed. If the speed of sound in hydrogen at NTP is 1270 m/s, that in mixture is

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a

317m/s  

b

635 m/s

c

830 m/s

d

950 m/s 

answer is B.

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Detailed Solution

ρmix=m1+m2v1+v2

ρmix =ρHVH+ρ0V0V+4V=ρH4V+16ρHV5V

ρmix=20ρHV5V=4ρH

V∝1ρ⇒VmixVH=ρH4ρH

Vmix=12702=635m/s

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