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Consider a mixture of gas molecule of ty...

Consider a mixture of gas molecule of types A, B and C having masses `m_(A) lt m_(B) lt m_(C)`. The ratio of their root mean square speeds at normal temperature and pressure is :

A

`v_A=v_B ne v_C`

B

`(1)/(v_A) lt (1)/(v_B) lt (1)/(v_C)`

C

`v_A=v_B=v_C=0`

D

`(1)/(v_A) gt (1)/(v_B) gt (1)/(v_C)`

Text Solution

Verified by Experts

The correct Answer is:
B
`v_(rms)=sqrt((3RT)/(M))`
` implies v prop (1)/(sqrtm) implies 1/v prop sqrtm`
`therefore (1)/(v_A) lt (1)/(v_B) lt(1)/(v_C)`.
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