Two monoatomic ideal gases $1$ and $2$ of molecular masses $m_1$ and $m_2$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas $1$ to that in gas $2$ is given by
A$\sqrt {\frac{{{m_1}}}{{{m_2}}}} $
B$\sqrt {\frac{{{m_2}}}{{{m_1}}}} $
C$\frac{{{m_1}}}{{{m_2}}}$
D$\frac{{{m_2}}}{{{m_1}}}$
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B$\sqrt {\frac{{{m_2}}}{{{m_1}}}} $
b (b) Speed of sound in gases is given by
$v = \sqrt {\frac{{\gamma RT}}{M}} \Rightarrow v \propto \frac{1}{{\sqrt M }}$
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