Q131 / 155 · WBJEE 2023 · Physics

In an experiment on a circuit as shown in the figure, the voltmeter shows \(8 \mathrm{~V}\) reading. The resistance of the voltmeter is, Figure

  • A
    \(20 \Omega\)
  • B
    \(320 \Omega\)
  • Correct answer
    C
    \(160 \Omega\)
  • D
    \(1.44 \mathrm{k} \Omega\)

Solution

Hint: Voltage across \(20 \Omega=2 \mathrm{~V}\) Main current \(=\frac{2}{20}=0.1 \mathrm{~A}\) Current through \(160 \Omega=\frac{8}{160}=\frac{1}{20}=0.05 \mathrm{~A}\) Also, \(8 \mathrm{~V}=0.05 \times \mathrm{R}\) \(R=\frac{8}{0.05}=160 \Omega\)

Hence, the correct answer is option: 'C'.

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