L , C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ML^2 T⁻⁴ A⁻² corresponds to __________.

Step-by-step solution

Dimensional formula of inductance L is obtained from E = 1 2 LI^2 : [L] = [E] [I]^2 = ML^2T⁻² A^2 = ML^2T⁻²A⁻² Dimensional formula of capacitance C is obtained from E = 1 2 Q^2 C : [C] = [Q]^2 [E] = A^2T^2 ML^2T⁻² = M⁻¹L⁻²T^4A^2 Dimensional formula of resistance R is obtained from P = I^2R : [R] = [P] [I]^2 = ML^2T⁻³ A^2 = ML^2T⁻³A⁻² The dimensional formula of LC is: [ LC ] = (ML^2T⁻²A⁻²)(M⁻¹L⁻²T^4A^2) = T^2 = T Evaluating the dimensional formula of R LC : [ R LC ] = ML^2T⁻³A⁻² T = ML^2T⁻⁴A⁻² This matches the given