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How much longer would it take for sound ...

How much longer would it take for sound to travel `1 km` through arctic air at `- 50^@ C` than to travel `1 km` through desert air at `+ 50^@ C` ?

Text Solution

Verified by Experts

Speed of sound in arctic air at `- 50^@ C = (331 - 0.6 xx 50) m//s = 301 m//s`
Time taken by sound to cover `1 km` in arctic air `= (1000 m)/(301 m//s) = 3.332 s`
Speed of sound in dersert air at `+ 50^@ C = (331 + 0.6 xx 50) m//s = 361 m//s`
Time taken by sound to cover `1 km` desert air `= (1000 m)/(361 m//s) = 2.770`
Difference in two times `= 3.332 s - 2.770 s = 0.562 s`.
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