A) \[54{}^\circ C\]
B) \[627{}^\circ C\]
C) \[327{}^\circ C\]
D) \[927{}^\circ C\]
Correct Answer: D
Solution :
The speed of sound is given by \[v=\sqrt{\frac{\gamma RT}{M}}\]where \[\gamma \] is ratio of specific heats, R the gas constant, T the temperature, M the molecular weight. Given, \[{{v}_{2}}=2\,{{v}_{1}}\], \[{{T}_{1}}={{27}^{o}}C=273+27=300\,K\], \[\therefore \] \[{{T}_{1}}=\left( \frac{2\,{{v}_{1}}}{{{v}_{1}}} \right)\times 300=1200\,K\] In centigrade \[{{T}_{2}}=1200-273={{927}^{o}}C\]
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