Match the List I with List II List I List II (A) Boltzmann constant (I) (B) Coefficient of viscosity (II) (C) Planck's constant (III) (D) Thermal conductivity (IV) Choose the correct answer from the options given below: [2025]

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Q.
Match the List I with List II

List I List II

(A) Boltzmann constant (I) $M L^{2} T^{- 1}$

(B) Coefficient of viscosity (II) $M L T^{- 3} K^{- 1}$

(C) Planck's constant (III) $M L^{2} T^{- 2} K^{- 1}$

(D) Thermal conductivity (IV) $M L^{- 1} T^{- 1}$

Choose the correct answer from the options given below: [2025]

1 A-III, B-IV, C-I, D-II

2 A-II, B-III, C-IV, D-I

3 A-III, B-II, C-I, D-IV

4 A-III, B-IV, C-II, D-I

Ans.
(1)

(A) $[k] = \frac{P V}{N T} = \frac{M L^{2} T^{- 2}}{K} = M L^{2} T^{- 2} K^{- 1}$

(B) $[η] = \frac{F}{6 π r v} = \frac{M L T^{- 2}}{L^{2} T^{- 1}} = M L^{- 1} T^{- 1}$

(C) $[h] = \frac{E}{f} = \frac{M L^{2} T^{- 2}}{T^{- 1}} = M L^{2} T^{- 1}$

(D) $\frac{d Q}{d t} = k \frac{A d T}{d x}, k = \frac{(M L^{2} T^{- 3}) L}{L^{2} \cdot K} = M L T^{- 3} K^{- 1}$

Solution

1 A-III, B-IV, C-I, D-II

2 A-II, B-III, C-IV, D-I

3 A-III, B-II, C-I, D-IV

4 A-III, B-IV, C-II, D-I

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	List I		List II
(A)	Boltzmann constant	(I)	$M L^{2} T^{- 1}$
(B)	Coefficient of viscosity	(II)	$M L T^{- 3} K^{- 1}$
(C)	Planck's constant	(III)	$M L^{2} T^{- 2} K^{- 1}$
(D)	Thermal conductivity	(IV)	$M L^{- 1} T^{- 1}$

Solution

Q. Match the List I with List II List I List II (A) Boltzmann constant (I) ML2T–1 (B) Coefficient of viscosity (II) MLT–3K–1 (C) Planck's constant (III) ML2T–2K–1 (D) Thermal conductivity (IV) ML–1T–1 Choose the correct answer from the options given below: [2025]

1 A-III, B-IV, C-I, D-II

2 A-II, B-III, C-IV, D-I

3 A-III, B-II, C-I, D-IV

4 A-III, B-IV, C-II, D-I

Ans. (1) (A) [k]=PVNT=ML2T–2K=ML2T–2K–1 (B) [η]=F6πrv=MLT–2L2T–1=ML–1T–1 (C) [h]=Ef=ML2T–2T–1=ML2T–1 (D) dQdt=kAdTdx, k=(ML2T–3)LL2·K=MLT–3K–1

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