NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice
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
Options
- A(B) and (D)
- B(C) and (E)
- C(A) and (D)
- D(A) and (E)
Correct answer
C. (A) and (D)
Step-by-step solution
[Energy density] = [ Work d o n e ] [ Volume ] = [ ML 2 T − 2 ] [ L 3 ] = [ ML − 1 T − 2 ] [Young’s modulus] = [ F A × l Δ l ] = [ ML T − 2 ] [ L 2 ] [ L ] [ L ] = [ ML − 1 T − 2 ]