A) \[2\times 273\,K\]
B) \[4\times 273\,K\]
C) \[8\times 273\,K\]
D) \[16\times 273\,K\]
E) \[\sqrt{2}\times 273\,K\]
Correct Answer: B
Solution :
Velocity.of sound is given by \[v=\sqrt{\frac{3RT}{M}}\] when \[t=273\,K,\]\[{{v}_{1}}=v,\]\[{{v}_{2}}=2v\] \[\therefore \] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\] \[\Rightarrow \] \[{{v}_{2}}=\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}{{v}_{1}}\] \[\Rightarrow \] \[2v=\sqrt{\frac{{{T}_{2}}}{273}}v\] \[\Rightarrow \] \[{{T}_{2}}=273\times 4K\]
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