Question

The speed of sound in a gas is related to temperature (in Kelvin) as :
(a) directly proportional to temperature.
(b) directly proportional to the square root of temperature.
(c) inversely prtiportional to temperature.
(d) inversely proportional to the square root of temperature.

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Answer

(b) directly proportional to the square root of temperature.

Reason — The speed of sound in a gas increases with the increase in temperature of the gas. The reason is that with the increase in temperature, the density of the gas decreases and consequently the speed of sound increases. The speed of sound in a gas is directly proportional to the square root of temperature.

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