Container A holds an ideal gas at a pressure `1 xx10^5` Pa and at 300 K. Container B whose volume is 4 times the volume of A has the same ideal gas at 400 K and at a pressure of `5xx10^5`

Before the valve V is opened, `V_A` and `V_B` are rms velocities of the molecules in container A and B then `V_A/V_B ` is:

Options

A. `2/sqrt3`
B. `sqrt3/2`
C. `3/4`
D. `4/3`

Answer

B

Explanation

`V_A/V_B = sqrt((3R(300))/M + (3R(400))/M) = sqrt3 :2`