Question : If the density of oxygen is 16 times that of hydrogen, what will be their corresponding ratio to the velocity of sound?
Option 1: 4:1
Option 2: 2:1
Option 3: 1:16
Option 4: 1:4
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Correct Answer: 1:4
Solution : The correct option is 1:4 .
If the density of oxygen is 16 times that of hydrogen, the ratio of their velocities of sound will be the same as the ratio of their densities
The velocity of sound from oxygen to hydrogen is 1:4.
v=√γP/ρ.
- v is the speed of sound in the gas,
- γ is the heat capacity ratio
- P is the pressure of the gas, and
- ρ is the density of the gas.
Vo 2 /V H 2 = ρH 2 /ρO 2
√1/16 = 1/4.
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