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A vessel is partitioned in two equal hal...

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

A

`sqrt((3)/(2))`

B

`sqrt((pi)/(4))`

C

`sqrt((2)/(3))`

D

`(3pi)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
As `(v_(rms))_(L)=(v_(av))_(R)` (given)
`sqrt((3RT)/(M_(1)))=sqrt((8RT)/(piM_(2)))implies(M_(1))/(M_(2))=(3pi)/(8)`
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