Which two of the following five physical paremeters have the same dimensions ? 1. energy density 2. refractive index 3. dielectric constant 4. Young's modulus 5. magnetic field.

Options

A. 2 and 4
B. 3 and 5
C. 1 and 4
D. 1 and 5

Answer

(c )

Explanation

Energy density `=("energy")/("volume")`
`=(ML^2 T^(-2))/(L^3) = [(ML^(-1) T^9-2)]`
Young's modulus `=(F//a)/(Delta L//L) = (F)/(a)`
`=(MLT^(-2))/(L^2) = [ML^(-1) T^(-2)]`
These two have the same dimensions. Choise (c ) is correct.