Physical Quantities with Same Dimensions – Rankers Physics

Dimensions: Practice Problem & Solution

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)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

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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