Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

If E, M, J and G denote energy , mass , angular momentum and gravitational constant then $\frac{EJ^2}{M^5G^2}$ has the dimensions of –

Options:

Length

Angle

Mass

Time

Correct Answer:

Angle

Explanation:

[E] = $[ML^2T^{-2}],  [J] = [ML^2T^{-1}], [G] = [M^{-1}L^3T^{-2}]$

Dimension of $\frac{EJ^2}{M^5G^2} = \frac{[ML^2T^{-2}][ML^2T^{-1}]^2}{[M^5][M^{-1}L^3T^{-2}]^2} = [M^0L^0T^0]$