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Question

For a gas sample with N0 number of molecules, function N(V) is given by : N(V) = for 0 < V < V0 and N(V) = 0 for V > V0. Where dN is number of molecules in speed range V to V+ dV. The rms speed of the molecules is :

Options

A.
B.
C.√2V0
D.√3V0

Solution

Vrms2 = < V2 > =
= here = N(V)
Vrms2 = V2 dV = V2dV = V02    ⇒ Vrms .V0.

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