Question

If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is

Answer 1

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(a) [M0L0T1]

Explanation: Capacitance C = charge/potential difference Dimensions of c = [AT]/[ML2T-3A-1] = [M-1L-2T4A2] Resistance R = potential difference/Current = [ML2T-3A-1]/[A] = [ML2T-3A-2] Dimensional formula of CR = [M-1L-2T4A2] [ML2T-3A-2] = [T] As the (CR) has dimensions of time and so is called time constant of CR circuit.

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Answer 2

CR is the time constant of the circuit, so it's dimensions are [ T ].

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