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NEET PHYSICSEasy

Dimensions of CRCR are those of:

A

Frequency

B

Energy

C

Time period

D

Current

Step-by-Step Solution

To determine the dimensions of the product CRCR, we examine the dimensional formulae of capacitance (CC) and resistance (RR) as provided in the sources:

  1. Capacitance (CC): According to the dimensional tables, capacitance is defined as charge divided by potential difference (Q/VQ/V), with the dimensional formula [M1L2T4A2][M^{-1} L^{-2} T^4 A^2] .
  2. Resistance (RR): Resistance is defined by Ohm's law as potential difference divided by current (V/IV/I), with the dimensional formula [ML2T3A2][M L^2 T^{-3} A^{-2}] .

By multiplying these two formulae: [CR]=[M1L2T4A2]×[ML2T3A2]=[M0L0T1A0]=[T][CR] = [M^{-1} L^{-2} T^4 A^2] \times [M L^2 T^{-3} A^{-2}] = [M^0 L^0 T^1 A^0] = [T].

The resulting dimension [T][T] represents the physical quantity of time or time period . In electronics, CRCR is known as the capacitive time constant.

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