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. | $[M L^{2} T^{-1}]$ | | 2. | $[M L^{-1} T^{-1}]$ | | 3. | $[M L T^{-3} K^{-1}]$ | | 4. | $[M L^{2} T^{-2} K^{-1}]$ | Codes :

JEE Advanced · 2013 · 02 Jun 2013 · Paper 2 · Units & Measurement

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

Codes :

Answer: (C)

Boltzmann constant (k): From

E = \frac{3}{2} k T

[k] = \frac{[ E ]}{[ T ]} = [M L^{2} T^{- 2} K^{- 1}]

→ 4

Coefficient of viscosity (η): From

F = 6 π η r v

[η] = \frac{[ F ]}{[ L ] [ L T ^{- 1} ]} = [M L^{- 1} T^{- 1}]

→ 2

Planck constant (h): From

E = h ν

[h] = \frac{[ E ]}{[ T ^{- 1} ]} = [M L^{2} T^{- 1}]

→ 1

Thermal conductivity (K): From Fourier's law,

[K] = [M L T^{- 3} K^{- 1}]

→ 3

Matching: P-4, Q-2, R-1, S-3

JEE Advanced · 2013 · 02 Jun 2013 · Paper 2 · Single correct option