A) \[\frac{{{v}_{s}}}{2}\]
B) \[\frac{{{v}_{s}}}{12}\]
C) \[12{{v}_{s}}\]
D) \[\frac{3}{2}v_{s}^{2}\]
Correct Answer: A
Solution :
\[{{v}_{sound}}\propto \frac{1}{\sqrt{\rho }}\Rightarrow \frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{\rho }_{2}}}{{{\rho }_{1}}}}=\sqrt{\frac{4}{1}}=2\]\[\Rightarrow \]\[{{v}_{2}}=\frac{{{v}_{1}}}{2}=\frac{{{v}_{s}}}{2}\]
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