Two monoatomic ideal gases 1 and 2 of molecular masses `m_(1) and m_(2)` respectively are enclosed in separate containers ketp at the same temperature. The ratio of the speed of sound in gas 1 t that in gas 2 is :

Options

A. `sqrt((m_(1))/(m_(2)))`
B. `(m_(1))/(m_(2))`
C. `sqrt((m_(2))/(m_(1)))`
D. `(m_(2))/(m_(1))`

Answer

C

Explanation

`V = sqrt((gamma RT)/(M)) rArr (V_(1))/(V_(2)) = sqrt((m_(2))/(m_(1)) ) as gamma, `R & T are all constant. Thus correct choices is (c).