Q. Which 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 (D)
B) (A) and (E)
C) (B) and (D)
D) (C) and (E)
Explanation
Energy density $= \frac{Energy}{Volume} = \frac{ML^{2}T^{- 2}}{L^{3}} = \lbrack ML^{- 1}T^{- 2}\rbrack$ Young’ s modulus$\ = \frac{Stress}{Strain} = \frac{ML^{- 1}T^{- 2}}{M^{0}L^{0}T^{0}} = \lbrack ML^{- 1}T^{- 2}\rbrack$ Both have the same dimensions
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.