Question

The speed of sound in air at 0°C is 332m/s. If it increases at the rate of 0.6m/s per degree, what will be the temperature when the velocity has increased to 344m/s.

Answer 1

Let T be the temperature at which velocity of sound is 344m/s.

Then the velocity of sound increased from 0°C to T°C would be = 344 - 332= 12m/s

But, given that the velocity of sound increases by 0.6m/s per degree rise in temperature.

Hence, the temperature required to meet the extra velocity 12m/s would be (12/0.6)= 20°C

Thus, the velocity of sound becomes 344m/s when the temperature is 20°C.