The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the rms velocity of the gas molecules is `v_(rms)` then at 480 K, it becomes

Options

A. `4v`
B. `2v`
C. `v//2`
D. `v//4`

Answer

B

Explanation

`v_("rms")=sqrt((3RT)/(M))`
`v_("rms")propsqrt(T)`
When temperature is increased from `120K` to `480K` (i.e., four times), the root mean square speed will become `sqrt(4)` or `2` times, `i.e., `2v` .