N molecules, each of mass m of gas A, and 2N molecules, each of mass 2m of gas B, are contained in the same vessel which is maintained at a temperature T. The mean square of the velocity of the molecules of B type is denoted by vB2 and the mean square of the x-component of the velocity of A type is denoted by vA2 . The ratio vB2vA2=N3 . Find N.

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answer is 2.

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Detailed Solution

vB2=3kT2mvA2=v23=133kTm (where v2 is RMS velocity of molecules of A type).vA2vB2=133kTm3kT2m=23

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