Question

Which two of the following five physical parameters have the same dimensions?
A) Energy Density
B) Refractive Index
C) Dielectric Constant
D) Young's Modulus
E)Magnetic Field

• A. A and B
• B. B and D
• C. A and D
• D. none of these

Answer 1

The correct option is C A and D

Dimensional formula of energy density $\left[u\right]=M{L}^{-1}{T}^{-2}$

Dimensional formula of Young's modulus $\left[Y\right]=M{L}^{-1}{T}^{-2}$

Dimensional formula of magnetic field $\left[B\right]=M{A}^{-1}{T}^{-2}$

Refractive index and dielectric constant are dimensionless.

Thus energy density and Young's modulus have same dimensions.