Question

Which of the following pairs have same dimensional formula for both the quantities?
(1) Kinetic energy and torque
(2) Resistance and inductance
(3) Young’s modulus and pressure

• A. (1) only
• B. (2) only
• C. (1) and (3) only
• D. All of three

Answer 1

Answer: (C)

Both kinetic energy and torque have same dimensional formula $\left[M{L}^2{T}^{-2}\right]$. Resistance and inductance have different dimensional formulae. Dimensional formula of resistance is
$\left[M{L}^2{T}^{-3}{A}^{-2}\right]$.
Dimensional formula of inductance is
$\left[M{L}^2{T}^{-2}{A}^{-2}\right]$.
Both Young's modulus and pressure have same dimensional formula $\left[M{L}^{-1}{T}^{-2}\right]$.