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TS EAMCET · Physics · Current Electricity

In the adjacent shown circuit, a voltmeter of internal resistance \(R\), when connected across \(B\) and \(C\) reads \(\frac{100}{3}\) V. Neglecting the internal resistance of the battery, the value of \(R\) is

  1. A \(100 \mathrm{k} \Omega\)
  2. B \(75 \mathrm{k} \Omega\)
  3. C \(50 \mathrm{k} \Omega\)
  4. D \(25 \mathrm{k} \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(50 \mathrm{k} \Omega\)

Step-by-step Solution

Detailed explanation

Internal resistance of voltmeter is \(R\). Therefore effective resistance across \(B\) and \(C, R^{\prime}\) is given by \(\begin{aligned} \frac{1}{R^{\prime}} & =\frac{1}{R}+\frac{1}{50} \\ & =\frac{50+R}{50 R} \end{aligned}\) or…
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