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Root mean square velocity of a gas molec...

Root mean square velocity of a gas molecule is proprotional to

A

`m^(1//2)`

B

`m^(0)`

C

`m^(-1//2)`

D

`m`

Text Solution

Verified by Experts

The correct Answer is:
C
`u_(rms)=sqrt((3KT)/("Molecular weight"))i.e., u_(rms)prop (1)/(sqrt(m))prop (m) ^((1)/(2))`
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Knowledge Check

  • Root mean square velocity of a gas molecule is proportional to

    A
    `m^(1//2)`
    B
    `m^(0)`
    C
    `m^(-1//2)`
    D
    m

  • The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, then at 480 K, it will be

    A
    4v
    B
    2v
    C
    `v//2`
    D
    `v//4`

  • The root mean square velocity of a gas molecule at any temperature T K of a gas molecule of molecular weight M is

    A
    `sqrt(8RT//M)`
    B
    `sqrt(2RT//M)`
    C
    `sqrt(3RT//M)`
    D
    zero

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