Which of the following pairs have the same dimensions?

Options

A. ` h//e` and magnetic flux
B. ` h//e` and electric flux
C. Electric fux and `q//epsilon_(0)`
D. Electric flux and `mu_(0)I`

Answer

A, C

Explanation

Dimensions of magnetic flux = magnetic field `xx` area
`= [(F)/( iL)] xx ["Area"] = (MLT^(-2))/(AL) L^(2)= [ML^(2)T^(-2) A^(-1)]`
Dimensions of `(h)/(a) = [("Planck's constant")/("Charge")] = [(ML^(2) T^(-1))/(AT)]`
`= [ML^(2)T^(-2) A^(-1)]`
From Gauss theorem , electic flux `= (q) /(epsilon _(0))`