If C and R denote capacitance and resistance, the dimensional formula of CR is (a) [M⁰L⁰T¹] (b) [M⁰L⁰T⁰] (c) [M⁰L⁰T⁻¹] (d) not expressible in terms of MLT

Answer: (a). CR is the time constant of an RC circuit, so it has the dimension of time. Check: C = Q/V and R = V/I, so CR = Q/I = time. So the answer is (a) [M⁰L⁰T¹].

If C and R denote capacitance and resistance, the dimensional formula… | NEET 1988 (AIPMT)

Q120NEET 1988 · AIPMTEasy

Units & Dimensions

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

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Answer: (a)

$CR$ is the time constant of an RC circuit, so it has the dimension of time.
Check: $C = Q/V$ and $R = V/I$ , so $CR = Q/I =$ time.
So the answer is (a) $[\mathrm{M^0L^0T^1}]$ .

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