Dimensional Formula of CR – Rankers Physics

Dimensions: Practice Problem & Solution

If \(C\) and \(R\) denote capacitance and resistance, the dimensional formula of \(CR\) is: [1988]
\(M^0L^0T^1\)
\(M^0L^0T^0\)
\(M^0L^0T^{-1}\)
Not expressible in terms of MLT

Solution Explained:

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

The product \(CR\) is the time constant of an RC circuit. Its dimension is time, \(T\), which can be written as \(M^0L^0T^1\).

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