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Assertion: The ratio of rms speed and av...

Assertion: The ratio of rms speed and average speed of a gas molecules at a given temperature is `sqrt3:sqrt(8//pi)`
Reason: `c_(rms) gt c_(av.)`

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
B
`c_(rms)=sqrt((3kT)/(m))and c_(av)=sqrt((8kT)/(pim))`
`therefore(c_(rms))/(c_(av))=(sqrt3)/(sqrt((8//pi)))gt1`
Thus, Assertion is true. Here Reason is also true because `c_(rms) gt c_(av)` but Reason is not the correct explanation of Assertion.
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