Let barv,v(rms) and vp respectively deno...

Let `barv,v_(rms) and v_p` respectively denote the mean speed. Root mean square speed, and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature T. The mass of a molecule is m. Then

No molecule can have speed greater than `sqrt(2)v_("rms")`

No molecule can have speed less than `(v_(p))/(sqrt(2))`

`v_(p) lt overlinev lt v_("rms")`

The average kinetic energy of a molecule is `(3)/(4) mv_(p)^(2)`

Text Solution

Verified by Experts

The correct Answer is:

C, D

`V_(P) = sqrt((2kT)/(m)) , overlinev = sqrt((8kT)/(pim)) , V_("rms") = sqrt((3kT)/(m)) implies V_(P) lt overlinev lt V_("max") = (3)/(2) kT = (3)/(4)mv_(P)^(2)`

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Let vecv,v_(rms)andv_(p) respectively denote the mean speed, the root mean square speed and the most probable speed of the molecules in an ideal monatomic gas at absolute temperature T. The mass of a molecule is m. Then

no molecule can have speed greater than `v_(rms)`

no molecule can have speed less than `v_(p)//sqrt(2)`

`v_(p)ltvecvltv_(rms)`

the average kinetic energy of a molecule is `(3)/(4)mv(p)^(2)`

Let V denote the root mean square speed of the molecules in an ideal diatomic gas at absolute temperature T. The mass of a molecule is m. Neglecting vibrational energy terms, which is True?

a molecule can have a speed greater than `sqrt(2)v`

v is proportional to `sqrt(T) `

the average rotational kinetic energy of a molecule is `(mv^(2))/(4)`

the average kinetic energy of a molecule is `(5mv^(2))/(6)`

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

`3pi : 8 :2pi`

`pi : 2pi : 3`

`3pi :2pi: 8`

`3pi:2pi:6`