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STANDARDPhysics-Dimensional Analysis

STANDARD Physics Dimensional Formulae MCQ Question

Type: MCQ-conceptual-Medium

If E, m, I and G denote energy, mass, angular momentum and gravitational constant respectively, the quantity EIm3G\frac{EI}{m^3G} has the dimensions of

A

mass

B

length

C

time

D

angle

Correct Answer

Option D

Detailed Explanation

The dimensions of energy [E]=[ML2T−2][E] = [ML^2T^{-2}], mass [m]=[M][m] = [M], angular momentum [I]=[ML2T−1][I] = [ML^2T^{-1}], and gravitational constant [G]=[M−1L3T−2][G] = [M^{-1}L^3T^{-2}]. Substituting these into EIm3G\frac{EI}{m^3G}, we get [M0L0T0][M^0L^0T^0], which corresponds to an angle.

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