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Question

Physics Question on Dimensional analysis and its applications

The dimensional formula for permittivity of free space (80) in the equation F=\frac{1}{4\pi{e_0}}$$\frac{q_1q_2}{r^2} where, symbols have their usual meaning is

A

[M1L3A2T4][M^1L^3A^{-2}T^{-4}]

B

[M1L3T4T2][M^{-1}L^{-3}T^{4}T^2]

C

[M1L3A2T4][M^{-1}L^{-3}A^{-2}T^{-4}]

D

[M1L3T2A4][M^{1}L^{3}T^{2}A^{-4}]

Answer

[M1L3T4T2][M^{-1}L^{-3}T^{4}T^2]

Explanation

Solution

The correct option is (B) : [M1L3T4T2][M^{-1}L^{-3}T^{4}T^2]