Match List-I with List-II List I List II A. Spring constant I. () B. Angular speed II. () C. Angular momentum III. () D. Moment of Inertia IV. () Choose the correct answer from the options given below: [2023]

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Q.
Match List-I with List-II

List I List II

A. Spring constant I. ( $T^{- 1}$ )

B. Angular speed II. ( $M T^{- 2}$ )

C. Angular momentum III. ( $M L^{2}$ )

D. Moment of Inertia IV. ( $M L^{2} T^{- 1}$ )

Choose the correct answer from the options given below: [2023]

Solution

Q.
Match List-I with List-II

List I List II

A. Spring constant I. ( $T^{- 1}$ )

B. Angular speed II. ( $M T^{- 2}$ )

C. Angular momentum III. ( $M L^{2}$ )

D. Moment of Inertia IV. ( $M L^{2} T^{- 1}$ )

Choose the correct answer from the options given below: [2023]

1 A – II, B – I, C – IV, D – III

2 A – IV, B – I, C – III, D – II

3 A – II, B – III, C – I, D – IV

4 A – I, B – III, C – II, D – IV

Ans.
(1)

Spring Constant

$[K] = \frac{[F]}{[x]} = \frac{M L T^{- 2}}{L} = M T^{- 2}$

$[ω] = \frac{[θ]}{[t]} = \frac{1}{T} = T^{- 1}$

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	List I		List II
A.	Spring constant	I.	( $T^{- 1}$ )
B.	Angular speed	II.	( $M T^{- 2}$ )
C.	Angular momentum	III.	( $M L^{2}$ )
D.	Moment of Inertia	IV.	( $M L^{2} T^{- 1}$ )

Solution

Q. Match List-I with List-II List I List II A. Spring constant I. (T–1) B. Angular speed II. (MT–2) C. Angular momentum III. (ML2) D. Moment of Inertia IV. (ML2T–1) Choose the correct answer from the options given below: [2023]

1 A – II, B – I, C – IV, D – III

2 A – IV, B – I, C – III, D – II

3 A – II, B – III, C – I, D – IV

4 A – I, B – III, C – II, D – IV

Ans. (1) Spring Constant [K]=[F][x]=MLT–2L=MT–2 [ω]=[θ][t]=1T=T–1

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Q.
Match List-I with List-II

List I List II

A. Spring constant I. ( $T^{- 1}$ )

B. Angular speed II. ( $M T^{- 2}$ )

C. Angular momentum III. ( $M L^{2}$ )

D. Moment of Inertia IV. ( $M L^{2} T^{- 1}$ )

Choose the correct answer from the options given below: [2023]

Ans.
(1)

Spring Constant

$[K] = \frac{[F]}{[x]} = \frac{M L T^{- 2}}{L} = M T^{- 2}$

$[ω] = \frac{[θ]}{[t]} = \frac{1}{T} = T^{- 1}$