If `c_(0)` and `c` denote the sound velocity and the rms velocity of the molecules in a gas, then

Options

A. `c_(0) gt c`
B. `c_(0) = c`
C. `c_(0) = c(gamma//3)^(1//2)`
D. no relation

Answer

C

Explanation

`c_(0) = sqrt((gamma R T)/(M_(0))), c = sqrt((3 R T)/(M_(0)))`
`(c_(0))/(c ) = sqrt((gamma)/(3)) rArr c_(0) = c ((gamma)/(3))^(1//2)`