A factory whistle designed for a particular pitch requires that the speed of sound in…
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A factory whistle designed for a particular pitch requires that the speed of sound in the surrounding air increase by exactly 5% relative to its value at 20∘C. Assume air composition remains unchanged.
(i) Obtain a general relation between the fractional increase in the speed of sound and the corresponding rise in absolute temperature for a fixed gas.
(ii) Using this relation, calculate the temperature (in ∘C) at which the whistle will produce the desired pitch.