The velocity of sound in a gas at a temperature 27∘C is v. In the same gas, its velocity will be 2v at temperature
A
727∘C
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B
827∘C
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C
927∘C
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D
627∘C
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Solution
The correct option is C927∘C We know that, velocity of sound in gas, v=√γRTM
For the same gas in the same medium, v∝√T
So, v1v2=√T1T2 ⇒v2v=√(27+273)T2 ⇒T2=1200K=927∘C
Why this question?Tips: For the same gas, molecular weight (M) andγis fixed.