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Question

The speed of sound as measured by a student in the laboratory on a winter day is 340 m s−1 when the room temperature is C17°. What speed will be measured by another student repeating the experiment on a day when the room temperature is 32°C?

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Solution

Given:
Velocity of sound v1 = 340 m/s
Temperature T1 = 17°C = 17 + 273 = 290 K
Let the velocity of sound at a temperature T2 be v2.
T2 = 32°C = 273 + 32 = 305 K
Relation between velocity and temperature:
vTSo,v1v2=T1T2v2=v1×T2T1On substituting the respective values, we get:v2=340×305290=349 m/s
Hence, the final velocity of sound is 349 m/s.

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