Speed of sound in a gas at 27∘C is 360m/s. Its speed at 37∘C is
A
360m/s
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B
363m/s
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C
366m/s
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D
372m/s
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Solution
The correct option is C366m/s As we know that
Speed, v∝√T 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=366m/s