Question 45: Units , Dimensions and Error Analysis

Question

Match List - I with List - II.
List - I
List - II
(A) Angular Impulse
(I) M
0
L
2
T
-2
(B) Latent Heat
(II) M L
2
T
-3
A
-1
(C) Electrical resistivity
(III) M L
2
T
-1
(D) Electromotive force
(IV) M L
3
T
-3
A
-2
Choose the correct answer from the options given below:

Accepted Answer

Matching the quantities from List - I with their correct dimensions from List - II is crucial to understanding their physical significance. Here is the correct matching:
(A) Angular Impulse:
The dimensions of angular impulse are equivalent to those of angular momentum, represented as $$M L^2 T^{-1}$$. Hence, (A) corresponds to (III).
(B) Latent Heat:
Latent heat has dimensions of energy per unit mass, which simplifies to $$M^0 L^2 T^{-2}$$. Hence, (B) corresponds to (I).
(C) Electrical resistivity:
Electrical resistivity has the dimensions of resistance multiplied by length, which can be represented as $$M L^3 T^{-3} A^{-2}$$. Hence, (C) corresponds to (IV).
(D) Electromotive force:
Electromotive force (emf) is similar to electric potential difference and has dimensions $$M L^2 T^{-3} A^{-1}$$. Hence, (D) corresponds to (II).
Therefore, the correct answer is
Option C
:
(A)-(III)
(B)-(I)
(C)-(IV)
(D)-(II)

Answer

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

Answer

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

Answer

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

Answer

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

Units , Dimensions and Error Analysis

Match List - I with List - II. List - I List - II (A) Angular Impulse (I) M 0 L 2 T -2 (B) Latent Heat (II) M L 2 T -3 A -1 (C) Electrical resistivity (III) M L 2 T -1 (D) Electromotive force (IV) M L 3 T -3 A -2 Choose the correct answer from the options given below:

Choose the correct answer: