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. a.`sqrt((3)/(2))`
B. b.`sqrt(pi//4)`
C. c.`sqrt(2//3)`
D. d.`3pi//8`

Answer

D

Explanation

`(V_("rms"))_(L) = (V_("avg"))R sqrt((3RT)/(M_(1))) = sqrt((8RT)/(piM_(2))) implies (M_(1))/(M_(2)) = (3pi)/(8)`