JEE Advanced 2013 · Paper 2 · Physics Q17 · Dronacharya Exams

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PhysicsList match+3 / -1Question 17 of 60

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

List I

P
Boltzmann constant
Q
Coefficient of viscosity
R
Planck constant
S
Thermal conductivity

List II

1
$[ML^2T^{-1}]$
2
$[ML^{-1}T^{-1}]$
3
$[MLT^{-3}K^{-1}]$
4
$[ML^2T^{-2}K^{-1}]$

A

P → 3; Q → 1; R → 2; S → 4

B

P → 3; Q → 2; R → 1; S → 4

C

P → 4; Q → 2; R → 1; S → 3

D

P → 4; Q → 1; R → 2; S → 3

Answer and worked solution

Official answer: C

Dimensions.

Boltzmann constant (energy/temperature): $[ML^2T^{-2}K^{-1}]$ → 4
Viscosity (stress/velocity gradient): $[ML^{-1}T^{-1}]$ → 2
Planck constant (energy × time): $[ML^2T^{-1}]$ → 1
Thermal conductivity (power/(length·temperature)): $[MLT^{-3}K^{-1}]$ → 3

Code 4 2 1 3.

(C)

Topics:Dimensional analysis

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