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The ratio of root mean square velocity o...

The ratio of root mean square velocity of average velocity of a gas molecule at a particular temperture is

A

`1.086:1`

B

`1:1.086`

C

`2:1.086`

D

`1.086:2`

Text Solution

Verified by Experts

`v_(rms)=sqrt((3RT)/(M))`
`v_("average")=sqrt((8RT)/(piM))`
`(v_(rms))/(v_("average"))=sqrt((3)/(8pi))=1.086`
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Knowledge Check

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

    A
    If both assertion and reason are true and reason is the correct explanation os assertion.
    B
    If both assertion and reason are true but reason is not be correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.

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