The velocity of sound in air will be doubled if it’s absolute temperature is

Correct Answer: Option A

Explanation

In general, the velocity of sound in air varies directly as the square root of temperature measured in kelvin.
That V ( propto sqrt{T} implies V^2 propto T. \
text{Therefore} frac{V^2_1}{T_1} = frac{V^2_2}{T_2} \
text{Thus Let } V_1 = 4m/s \
T_1 = 10K \
text{Therefore } V_2 = 2V_1 = 8m/s \
implies frac{4^2}{10} = frac{8^2}{T_2} \
T_2 = frac{64 times 10}{16} = 40K\
T_2 = 4T_1 )
Thus when the velocity of sound in air is doubled, it’s absolute temperature will be quadrupled.