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. (a)`sqrt((m_(1))/(m_(2)))`
B. (b)`sqrt((m_(2))/(m_(1)))`
C. (c)`(m_(1))/(m_(2))`
D. (d)`(m_(2))/(m_(1))`

Answer

B

Explanation

`V_("sound") = sqrt((gammaRT)/(M_(W))) "so" (v_(1))/(v_(2)) = sqrt((m_(2))/(m_(1)))`