Match the LIST-I with LIST-II: Spring constant [2026]

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Q.
Match the LIST-I with LIST-II: [2026]

List - I List - II

A. Spring constant I. ${ML}^{2} T^{- 2} K^{- 1}$

B. Thermal conductivity II. ${ML}^{0} T^{- 2}$

C. Boltzmann constant III. ${ML}^{2} T^{- 3} A^{- 2}$

D. Inductive reactance IV. ${MLT}^{- 3} K^{- 1}$

Choose the correct answer from the options given below:

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

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

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

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

Ans.
(1)

$(A) F = K x$

$[M L T^{- 2}] = [K] [L]$

$[K] = M L^{0} T^{- 2}$

$(B) Thermal conductivity$

$\frac{d Q}{d t} = \frac{k A}{ℓ} Δ T$

$M L^{2} T^{- 3} = \frac{[k] L^{2} K}{L}$

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

$(C) Boltzmann constant$

$[K] = M L^{2} T^{- 2} K^{- 1}$

$(D) Inductive reactance$

$\frac{[V]}{[I]} = \frac{M L^{2} T^{- 3} A^{- 1}}{A}$

$= M L^{2} T^{- 3} A^{- 2}$

Solution

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

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

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

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

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	List - I		List - II
A.	Spring constant	I.	${ML}^{2} T^{- 2} K^{- 1}$
B.	Thermal conductivity	II.	${ML}^{0} T^{- 2}$
C.	Boltzmann constant	III.	${ML}^{2} T^{- 3} A^{- 2}$
D.	Inductive reactance	IV.	${MLT}^{- 3} K^{- 1}$

Solution

Q. Match the LIST-I with LIST-II: [2026] List - I List - II A. Spring constant I. ML2T-2K-1 B. Thermal conductivity II. ML0T-2 C. Boltzmann constant III. ML2T-3A-2 D. Inductive reactance IV. MLT-3K-1 Choose the correct answer from the options given below:

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

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

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

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

Ans. (1) (A) F=Kx [MLT-2]=[K][L] [K]=ML0T-2 (B) Thermal conductivity dQdt=kAℓ ΔT ML2T-3=[k]L2KL [k]=MLT-3K-1 (C) Boltzmann constant [K]=ML2T-2K-1 (D) Inductive reactance [V][I]=ML2T-3A-1A =ML2T-3A-2

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