A) \[54{}^\circ C\]
B) \[627{}^\circ C\]
C) \[327{}^\circ C\]
D) \[927{}^\circ C\]
Correct Answer: D
Solution :
Speed of sound \[\upsilon =\sqrt{\frac{\gamma RT}{m}}\]or \[\upsilon =\sqrt{t}\] Hence, \[\frac{{{\upsilon }_{2}}}{{{\upsilon }_{1}}}=\sqrt{\frac{{{T}_{2}}}{T}}\]or \[{{T}_{2}}={{\left( \frac{{{\upsilon }_{2}}}{{{\upsilon }_{1}}} \right)}^{2}}T\] Given: \[{{\upsilon }_{2}}=2{{\upsilon }_{1}},\,{{T}_{1}}=27+273=300K\] \[{{T}_{2}}={{\left( \frac{2{{\upsilon }_{1}}}{{{\upsilon }_{1}}} \right)}^{2}}\times 300=1200K=1200-273\] \[=927{{\,}^{o}}C\]
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