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Let A and B the two gases and given: (T...

Let A and B the two gases and given: `(T_(A))/(M_(A))=4.(T_(B))/(M_(B))`, where T is the temperature and M is the molecular mass. If `C_(A)` and `C_(B)` are the rms speed, then the ratio `(C_(A))/(C_(B))` will be equal to ………..

A

2

B

4

C

1

D

0.5

Text Solution

Verified by Experts

The correct Answer is:
A

`(T_A)/(M_A)=4 (T_B)/(M_B) implies sqrt((T_A)/(M_A))=2 sqrt((T_B)/(M_B))`
`implies sqrt((3RT_A)/(M_A))=2sqrt((3RT)/(M_B))`
`implies C_A=2C_B implies (C_A)/(C_B)=2`
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