Question

Match List - I with List - II : 

Choose the most appropriate answer from the options given below : 
 

• A. (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)
• B. (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)
• C. (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)
• D. (a)-(iii), (b)-(ii), (c)-(iv), (d)-(i)

Hint:

Dimensional analysis is a fundamental tool in physics. Memorizing the dimensions of key quantities like Force, Energy, Charge, and Potential can speed up derivations for other related quantities. Always start from a defining formula for the quantity in question.

Answer 1

The Correct Option is C

To solve this problem, we need to match the physical quantities in List-I with their corresponding dimensional formulas in List-II. Let's go through each item one by one:

1. (a) Magnetic Induction: B is the symbol for magnetic induction, and its dimensional formula is \text{MT}^{-2}\text{A}^{-1}. Therefore, (a) matches with (iii).
2. (b) Magnetic Flux: Magnetic Flux \Phi is given by the product of magnetic induction B and area A. Its dimensional formula is \text{ML}^{2}\text{T}^{-2}\text{A}^{-1}. Hence, (b) matches with (i).
3. (c) Magnetic Permeability: The dimensional formula for magnetic permeability is \text{MLT}^{-2}\text{A}^{-2}. Hence, (c) matches with (iv).
4. (d) Magnetization: Magnetization M is a measure of the magnetic moment per unit volume. Its dimensional formula is \text{M}^{0}\text{L}^{-1}\text{A}. Therefore, (d) matches with (ii).

From the above analysis, the correct matching is:

• (a)-(iii)
• (b)-(i)
• (c)-(iv)
• (d)-(ii)

Therefore, the correct answer is:

(a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)