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Q.

Match Coloum-I with Coloum-II and select the correct answer using codes given below the lists:
 

Coloum-IColoum-II
P) Boltmann constant1)  ML2T1
Q) Coefficient of viscosity2) ML1T1
R) Plank constant3) MLT3K1
S) Thermal conductivity4) ML2T2K1

 

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a

P3;Q1;R2;S4

b

P4;Q1;R2;S3

c

P4;Q2;R1;S3

d

P3;Q2;R1;S4

answer is C.

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Detailed Solution

 P4;Q2;R1;S3
(P):Using molecular kinetic energy relation, we have  E=32kT
Writing dimensions on the two sides, we have  ML2T2=kKk=ML2T2K1
(Q): using Stokes rule, we have  F=6πηrv
Writing dimensions on the two sides, we have  MLT2=ηLLT1η=ML1T1
(R):Using relation of energy of a photon, we have  E=hv
Writing dimensions on the two sides, we have  ML2T2=hTh=ML2T1
(S): Using relation of steady state of heat conduction, we have  dQdt=kAΔTΔx
 ML2T2T=kL2KL
 k=MLT3K1

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