First slide

Speed of wave

Question

The velocity of sound in oxygen at 30^oC is 330 m/sec Therefore the velocity of sound in m/sec in helium at the same temperate is

Moderate

A

330
B

660
C

950
D

1020

Solution

$\frac{v_{1}}{v_{2}} = {[\frac{d_{2}}{d_{1}}]}^{1 / 2} Density of helium = (1 / 8) \times density of oxygen ∴ velocity of sound in helium = \sqrt{8} v = 2 \sqrt{2} \times 330 = 660 \sqrt{2} \approx 950 m / s$

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