Match List-I with List-II. List-IList-II(A) Mass density(I) [ML2T-3](B) Impulse(II) [MLT-1](C) Power(III) [ML2T0](D) Moment of inertia(IV) [ML-3T0] Choose the correct answer from the options given below :

(A) (A)-(IV), (B)-(II), (C)-(III), (D)-(I)

(B) (A)-(I), (B)-(III), (C)-(IV), (D)-(II)

(D) (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

Match List-I with List-II.
List-I List-II
(A) Mass density (I) [ML²T^-3]
(B) Impulse (II) [MLT^-1]
(C) Power (III) [ML²T⁰]
(D) Moment of inertia (IV) [ML^-3T⁰]

Choose the correct answer from the options given below :

List-I	List-II
(A) Mass density	(I) [ML²T^-3]
(B) Impulse	(II) [MLT^-1]
(C) Power	(III) [ML²T⁰]
(D) Moment of inertia	(IV) [ML^-3T⁰]

A (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
B (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
C (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
D (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

Verified Solution

Answer & Solution

Correct Answer

(C) (A)-(IV), (B)-(II), (C)-(I), (D)-(III)

Step-by-step Solution

Detailed explanation

(A) Mass density \(=\frac{M}{V}=M^1 L^{-3}\)...(iv) (B) Impulse \(=\mathrm{M} \times \mathrm{u}=\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-1}\)....(ii) (C) Power \(=\mathrm{F}. \mathrm{V}=\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-3}\)....(i) (D) Moment of inertia…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Match List - \(I\) with List - \(II.\)

List - \(I\)	List - \(II\)
\((a)\) Source of microwave frequency	\((i)\) Radioactive decay on nucleus
\((b)\) Source of infrared frequency	\((ii)\) Magnetron
\((c)\) Source of Gamma Rays	\((iii)\) Inner shell electrons
\((d)\) Source of \(X-\)rays	\((iv)\) Vibration of atoms and molecules
	\((v)\) \(LASER\)
	\((vi)\) \(RC\) circuit

Choose the correct answer from the options given below :

JEE Mains 2021 Medium

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Match List-I with List-II.List-IList-II(A) Mass density(I) [ML2T-3](B) Impulse(II) [MLT-1](C) Power(III) [ML2T0](D) Moment of inertia(IV) [ML-3T0]Choose the correct answer from the options given below :

Step-by-step Solution

Match List-I with List-II.
List-I List-II
(A) Mass density (I) [ML²T^-3]
(B) Impulse (II) [MLT^-1]
(C) Power (III) [ML²T⁰]
(D) Moment of inertia (IV) [ML^-3T⁰]

Choose the correct answer from the options given below :