If L and C denote inductance and capacitance,then the dimensions of L-C are

Options

(a) [M⁰L⁰T²]
(b) [M²L⁰T²]
(c) [M⁰L²T²]
(d) [ML²T²]

Correct Answer:

[M⁰L⁰T²]

Explanation:

Dimensions of Inductance(L) = ML²T⁻²A⁻²

Dimensions of Capacitance(C) = M⁻¹L⁻²T⁴A²

L x C = ML²T⁻²A⁻² x M⁻¹L⁻²T⁴A²

=T²