Question

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

Answer 1

Correct Answer - B
We know that
`C = sqrt(((gammaRT)/(M)))`
Hence `C prop sqrt((1)/(m))`
`:. (C_(1))/(C_(2)) = sqrt(((m_(2))/(m_(1))))`.