Home Physics Units, Dimensions and Measurement Matching Type Question Match the physical quantities given in colum…
Physics Units, Dimensions and Measurement Matching Type Question Single Correct MCQ
Published on: September 12, 2026

Match the physical quantities given in column I with dimensions in column II.

Column-I

Column-II

(i) Torque

(p) 

(ii) Angular momentum

(q) 

(iii) Latent heat

(r) 

(iv) Surface tension

(s) 

(v) Light year

(t) 

(u) 

A
(i)-(t) (ii)-(p) (iii)-(q) (iv)-(u) (v)-(s)
B
(i)-(q) (ii)-(r) (iii)-(p) (iv)-(t) (v)-(s)
C
(i)-(q) (ii)-(p) (iii)-(t) (iv)-(r) (v)-(s)
D
(i)-(t) (ii)-(s) (iii)-(q) (iv)-(p) (v)-(r)

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Text Solution

Verified by Experts
The correct answer is:
C
Step 1: Identify the dimensions of each quantity in Column-I:
• Torque (i): Dimensions are $[M][L^2][T^{-2}]$ which corresponds to angular momentum.
• Angular momentum (ii): Dimensions are $[M][L^2][T^{-1}]$.
• Latent heat (iii): Dimensions are $[M^0][L^0][T^{-2}]$, which corresponds to energy per unit mass, typically measured in Joules per kg ($J/kg$).
• Surface tension (iv): Dimensions are $[M^0][L^1][T^{-2}]$, equivalent to force per unit length.
• Light year (v): This is a measure of distance and has dimensions $[M^0][L^1][T^0]$.

Step 2: Match these dimensions with Column-II:
(i) Torque - (q) $[M][L^2][T^{-2}]$
(ii) Angular momentum - (p) $[M][L^2][T^{-1}]$
(iii) Latent heat - (s) $[M^0][L^0][T^0]$
(iv) Surface tension - (r) $[M^0][L^1][T^{-2}]$
(v) Light year - (t) $[M^0][L^1][T^0]$

Therefore, the correct matching is (i)-(q), (ii)-(p), (iii)-(s), (iv)-(r), (v)-(t), which corresponds to Option C.

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