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 of sound in gas `1` to that in gas `2` is given by

Options

A. `sqrt((m_1)/(m_2))`
B. `sqrt((m_2)/(m_1))`
C. `(m_1)/(m_2)`
D. `(m_2)/(m_1)`

Answer

B

Explanation

Speed of sound in gases is given by
`v=sqrt((gammaRT)/(M))impliesvprop(1)/(sqrtM)implies(v_1)/(v_2)=sqrt((m_2)/(m_1))`