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What is the relationship between the ave...

What is the relationship between the average velocity `(v)`, root mean square velocity `(u)` and most probable velocity

A

`alpha : v : u : : 1 : 1.128: 1.224`

B

`alpha : v : u : : 1.128 : 1 : 1.224`

C

`alpha : v :u : : 1.128 : 1.224:1`

D

`alpha : v : u : : 1. 124: 1.228:1`

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A gas consists of 4 molecules with a velocity of 5ms^(-1),10 molecules with a velocity of 3ms^(-1) and 6 molecules with a velocity of 6ms^(-1) . Calculate their average velocity, root mean square velocity and most probable velocity.

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Knowledge Check

  • Most probable velocity, average velocity and root mean square velocity are related as

    A
    `1 : 1.128 : 1.224`
    B
    `1 : 1.128 : 1.424`
    C
    `1 : 2.128 : 1.224`
    D
    `1 : 1.428 : 1.442`

  • The ratio of most probable velocity, average velocity and root mran square velocity is

    A
    `sqrt2 : sqrt(8/pi) : sqrt3 `
    B
    `1 : sqrt2 : sqrt3`
    C
    `sqrt2 : sqrt3 : sqrt8`
    D
    `sqrt1 : sqrt(8pi) : sqrt3`

  • Assertion : The root mean square velocity of molecules of a gas having Maxwellian distribution of velocities is higher than their most probable velocity, at any temperature. Reason : A very small no. of molecules of a gas which possess very large velocities increase root mean square velocity, without affecting most probable velocity.

    A
    If, both Assertion and reason are ture and the Reason is the correct explanation of the Assertion.
    B
    If both, Assertion and reason are true but Reason is not a correct expationation of the Assertion.
    C
    If Assertion is true but the Reason is false.
    D
    If Both, Assertion and reason are false.

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