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NEET
Exam
NEET
Subject
Physics
Chapter
Alternating Current

NEET · Physics · Alternating Current

If ( R, C ), and L be the resistance, capacitance, and inductance...

If (R,C\mathrm{R}, \mathrm{C}), and L be the resistance, capacitance, and inductance in the circuit in which ac of frequency f is set up, then which of the following have the dimensions of R ? (a) fC (b) fL (c) (1 / fC\mathrm{fC}) (d) (L\mathrm{L}/ f\mathrm{f})

Options

  1. Aonly a & b
  2. Bonly b & c
  3. Conly c & d
  4. Dall

Correct answer

B. only b & c

Step-by-step solution

(\tau=\mathrm{RC} \Rightarrow \mathrm{R}=\frac{\tau}{\mathrm{C}}) ([R]=[1fC]τ=LR⇒R=Lτ=(f.L)\begin{aligned} & {[R]=\left[\frac{1}{f C}\right]} \\ & \tau=\frac{L}{R} \Rightarrow R=\frac{L}{\tau}=(f . L) \end{aligned}) (\therefore \mathrm{b} ~\&~ \mathrm{c}) are correct.
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