Two monatomic ideal gases `1` and `2` of molecular masses `m_(1)` and m_(2)` repectively are enclosed in separate containers kept at the same temprature. 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_(2))`
C. `(m_(1))/(m_(2))`
D. `(m_(2))/(m_(1))`

Answer

B

Explanation

(b) KEY CONCEPT : `C_(rms) = sqrt((gammaRT)/(M))` Here C_(rms) prop sqrt((1)/(m))`,
:. `(C_(rms1))/(C_(gammams2)) = sqrt(((m_(2))/(m_(1)))`