If `y_(0)` and v denote the sound velocity and the rms velocity of the molecules in a gas, then .....

Options

A. `v_(0) = v(3 // gamma)^(1//2)`
B. `v_(0) = 0`
C. `v_(0) = v(gamma// 3)^(1//2)`
D. `v_(0)` and v are not related

Answer

C

Explanation

`v_(0) = sqrt((gamma RT)/(M)) , v = sqrt((3RT)/(M)) implies (v_(o))/(v) = sqrt((gamma)/(3)) implies v_(0) = v((gamma)/(2))^(1//2)`