Question

Match the physical quantities given in Column I with suitable dimensions expressed in Column II.

Column I	Column II
a) Angular momentum	g) ${ML}^2{T}^{-2}$
b) Latent heat	h) ${ML}^2{Q}^{-2}$
c) Torque	i) ${ML}^2{T}^{-1}$
d) Capacitane	j) ${ML}^3{T}^{-1}{Q}^{-2}$
e) Inductance	k) $M^{-1}{L}^{-2}{T}^2{Q}^2$
f) Resistivity	l) $L^2{T}^{-2}$

• A. a-i, b-l, c-g, d-k, e-h, f-j
• B. a-l, b-i, c-k, d-g, e-j, f-h
• C. a-i, b-l, c-h, d-j, e-g, f-k
• D. a-h, b-j, c-g, d-k, e-i, f-l

Answer 1

The correct option is A a-i, b-l, c-g, d-k, e-h, f-j

Angular momentum = $mvr=M{L}^2{T}^{-1}$

Latent Heat, $Q=ML,\frac{Q}{M}=L,\left[L\right]=M^0{L}^2{T}^{-2}$

Torque $=F\times perpendiculardistance=ML{T}^{-2}L=M{L}^2{T}^{-2}$

Inductance $=\frac{2E}{I^2}=L=\frac{M{L}^2{T}^{-2}}{A^2}=M{L}^2{T}^{-2}{A}^{-2}$

Capacitance $C=\frac{Q^2}{2E}=\frac{A^2{T}^2}{M{L}^2{T}^{-2}}$

Resistivity$=M{L}^3{T}^{-1}{Q}^{-2}$

Option A is the appropriate choice.