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((A_(1))/(A_(2)))`
B. `sqrt((A_(2))/(A_(1)))`
C. `(A_(1))/(A_(2))`
D. `(A_(2))/(A_(1))`

Answer

B

Explanation

Speed of sound in gases in given by `v = sqrt((gammaRT)/(M))` implies `v infty (1)/(sqrt(M)) implies (v_(1))/(v_(2)) = sqrt((A_(2))/(A_(1)))`