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Assertion : The root mean sguar and most...

Assertion : The root mean sguar and most probable speed of the molecules in a gas are the same
Reason : The Maxwell distribation for the speed of molecules in a gas is symentrical

A

If both assertion and reason are true and the 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 statement but reason is false.

D

If both assertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
d

Root mean squre speed of moleclues in a gas is define as the equal root of mean of space of the speed of difference i.e.
`v_(min) = sqrt(((v_(1)^(2) + v_(2)^(2) + ......)/(N))`
`or v_(min) = sqrt((3RT)/(M))`
(according to kinetic theory gases)
while most position speed is the speed which maximum number of molecles in a gas have at common temperature and is given by
`v_(m) = sqrt((2RT)/(M))`
It is abvious that `v_("rms") gt v_("mp").` Also maxwell damenation for the speed of moleculas in a gas is any numerical hence option (d) is true.
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