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 :-

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

We know that `C=sqrt(((gammaRT)/(M)))`
Hence `C prop sqrt((1)/(M)) therefore (C_1)/(C_2)=sqrt(((m_2)/(m_1)))`