Physical Quantities with Same Dimensions – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Physical Quantities with Same Dimensions

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

[2008]

(A) and (D)
(B) and (D)
(C) and (E)
(A) and (D)

Solution:

Energy density (A) is \(ML^{-1}T^{-2}\). Young's modulus (D) is Stress/Strain, so also \(ML^{-1}T^{-2}\). Therefore, (A) and (D) have the same dimensions.

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