Consider a cylindrical vessel of radius R and length L. If one molecule is present in it then the motion of that one molecule can be described by radial and axial velocities as shown. Now consider N molecules to be present. Each molecule has a mass m ′ .

(i)Which of the following is correct expression for rms speed of radial speed of the gas sample?
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Ans.
(i)
Sol. One degree of freedom along axis and two degrees of freedom in radial plane.
(ii)
Sol. One degree of freedom along axis and two degrees of freedom in radial plane.
(iii)
Sol. One degree of freedom along axis and two degrees of freedom in radial plane.
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