A) \[{{54}^{0}}C\]
B) \[{{627}^{0}}C\]
C) \[{{327}^{0}}C\]
D) \[{{927}^{0}}C\]
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: \[{{\upsilon }_{2}}=2{{\upsilon }_{1}},\,{{T}_{1}}=27+273=300K\] \[{{T}_{2}}=\left( \frac{2{{\upsilon }_{1}}}{{{\upsilon }_{1}}} \right)\times 300=1200K=1200-273\] \[={{927}^{o}}C\]
You need to login to perform this action.
You will be redirected in
3 sec
