A) \[-73{}^\circ C\]
B) \[27{}^\circ C\]
C) \[127{}^\circ C\]
D) \[327{}^\circ C\]
Correct Answer: B
Solution :
Let initial temperature is T ie \[{{T}_{1}}=T\] Then, \[{{T}_{2}}=T+600\] Velocity of sound in gas \[v\propto \sqrt{T}\] \[\frac{{{v}_{2}}}{{{v}_{1}}}=\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}\] According to questions \[{{v}_{2}}=\sqrt{3}{{v}_{1}}\] \[\frac{\sqrt{3}{{v}_{1}}}{{{v}_{1}}}=\sqrt{\frac{T+600}{T}}\] \[\sqrt{3}=\sqrt{\frac{T+600}{T}}\] \[\therefore \] \[3T=T+600\] \[T=300\,K\] \[=300-273\,=27{{\,}^{o}}C\]
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