Dimensional Analysis

Every equation relating physical quantities should be in dimensional balance.
The given equation is in dimensional balance, hence the dimensions of the terms on both sides of the equation must be the same.

has dimensions of length and a that is amplitude also has dimensions of length, hence should be dimensions, that is

Dimensions of

Therefore, the correct option is (C):

has the dimensions of time. Because is the time constant of circuit.

Charge Capacitance Potential difference

and

Therefore, the correct option is (A):