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_("m s") = sqrt((3RT)/m) " i.e., "v_("m s") prop sqrtT`
When temperature is increased from to (i.e., four times), the root mean square speed will become `sqrt4` or 2 time ie., 2V.