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Q.

Match Column I (Physical Variables) with Column II (Expressions) and select the correct answer using the codes given below ( =n number of gas molecules present per unit volume, k= Boltzmann constant,T= absolute temperature, m=mass of the particle) :

 Column - I Column - I
A)Most probable velocityp)nkT
B)Energy per degree of freedomq)3kT/m
C)Pressurer)2kT/m
D)R.M.S. velocitys)kT/2

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a

A - r , B - s , C - q , D - p

b

A - r , B - s , C - p , D - q

c

A - s , B - p , C - r , D - q

d

A - q , B - p , C - r , D - s

answer is A.

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Detailed Solution

(A)r;(B)s;(C)p;(D)q

Most probable velocity is 2kT/m.

Energy per degree of freedom is kT/2.

Pressure is nkT.

R.M.S. velocity is 3kT/m.

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