Which of the following units denotes the dimensions `[ML^(2)//Q^(2)]`, where Q denotes the electric charge?

Options

A. `H//m^(2)`
B. Weber (Wb)
C. `Wb//m^(2)`
D. Henry(H)

Answer

D

Explanation

Henry has the dimension of `(ML^2)/(Q^2)`
The energy (E) stored in an inductor is given by
`E = 1/2 LI^(2) :. L = (2E)/(I^2)`
but `I = Q/t :. I^(2)=(Q^2)/(t^2)`
`:. L = (2 E xx t^2)/(Q^2)`
`:. [L] = [(L^(2)M^(1)T^(-2)xxT^(2))/(Q^2)]`
`[L] = [M^(1)L^(2)Q^(-2)]`.