First slide

Travelling wave

Question

If the density of Oxygen is 16 times that of Hydrogen, what will be the ratio of their corresponding velocities of sound waves

Moderate

A

1 : 4
B

4 : 1
C

16 : 1
D

1 : 16

Solution

$v = \sqrt{\frac{γP}{ρ}} \Rightarrow \frac{v_{O_{2}}}{v_{H_{2}}} = \sqrt{\frac{ρ_{H_{2}}}{ρ_{o_{2}}}} = \sqrt{\frac{1}{16}} = \frac{1}{4}$

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