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V(av), V(rms) and V(mp) are average spee...

`V_(av), V_(rms) and V_(mp)` are average speed, root mean square speed and most probable speed of the gas respectively at constant temp. T. Molar mass of gas is 'm'. Then

A

no molecules can have speed greater than `sqrt(2)V_(rms)`

B

no molecules can have speed less than `V_(mp)// sqrt(2)`

C

`V_(mp) lt V_(av) lt V_(rms)`

D

the aveage kinetic energy of a molecule is `(3)/(4)//mV^(2)mp`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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Knowledge Check

  • The root mean square speed of gas molecules

    A
    is same for all gases at the same temperature
    B
    depends on the mass of the gas molecule and its temperature
    C
    is independent of the density and pressure of the gas
    D
    depends only on the temperature and volume of the gas

  • The ratio of root mean square speed, average speed and most probable speed is

    A
    `3pi : 8 :2pi`
    B
    `pi : 2pi : 3`
    C
    `3pi :2pi: 8`
    D
    `3pi:2pi:6`

  • The ratio of root mean square speed, average speed and most probable speed is

    A
    `3pi : 8 :2pi`
    B
    `pi : 2pi : 3`
    C
    `3pi :2pi: 8`
    D
    `3pi:2pi:6`

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