A) \[-148{}^\circ C\]
B) \[-212.5{}^\circ C\]
C) \[-317.5{}^\circ C\]
D) \[-249.7{}^\circ C\]
Correct Answer: D
Solution :
Speed of sound in gases is \[\nu =\sqrt{\frac{\gamma RT}{M}}\] \[\Rightarrow \,\,\,\,\,\,T\propto M\] (Because v and \[\gamma \] are constants). Hence \[\frac{{{T}_{{{H}_{2}}}}}{{{T}_{{{O}_{2}}}}}=\frac{{{M}_{{{H}_{2}}}}}{{{M}_{{{O}_{2}}}}}\] \[\Rightarrow \,\,\,\,\,\,\frac{{{T}_{{{H}_{2}}}}}{(273+100)}=\frac{2}{32}\] \[\Rightarrow \,\,\,\,{{T}_{{{H}_{2}}}}\,\,=\,\,23.2\,\,K\,\,=\,\,-249.7{}^\circ C\]
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