A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases ae filled in left (L) and right (R) halves the rms speed of the molecules in L part is equal to the mean speed of moleucles in the R equal to the ratio of the mass of a molecules in L part to that of a molecules in R part is

Options

A. `sqrt(3/2)`
B. `sqrt(pi//4)`
C. `sqrt(2//3)`
D. `3pi//8`

Answer

D

Explanation

`(v_(rms))_L=(v_(avg))_R`
`implies sqrt((3RT)/(m_L))=sqrt((8)/(pi) (RT)/(m_R))`
`implies (m_L)/(m_R)=(3pi)/(8)`