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Question

Speed of sound in a gas at 27C is 360 m/s. Its speed at 37 C is

A
360 m/s
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B
363 m/s
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C
366 m/s
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D
372 m/s
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Solution

The correct option is C 366 m/s
As we know that
Speed, vT where, T is in kelvin.
v2v1=T2T1=310300=[300+10300]12=(1+130)12
From binomial expansion it can be written as
v2v1=(1+130)12=1+160
or, v2=v1+v160=360+36060=366 m/s

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