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MHT CET · Physics · Current Electricity

A galvanometer of resistance \(20 \Omega\) gives a deflection of 5 divisions when \(1 \mathrm{~mA}\) current flows through it. The galvanometer scale has 50 divisions. To convert the galvanometer into a voltmeter of range 25 volt, we should connect a resistance of

  1. A \(1240 \Omega\) in series.
  2. B \(2480 \Omega\) in series.
  3. C \(2480 \Omega\) in parallel.
  4. D \(20 \Omega\) in parallel.
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Answer & Solution

Correct Answer

(B) \(2480 \Omega\) in series.

Step-by-step Solution

Detailed explanation

\(\begin{aligned} \mathrm{R} & =\frac{\mathrm{V}}{\mathrm{I}_{\mathrm{g}}}-\mathrm{G} \\ & \text { Here, } \mathrm{I}_{\mathrm{g}}=\frac{50}{5}=10 \mathrm{~mA} \\ \therefore \quad \mathrm{R} & =\frac{25}{10 \times 10^{-3}}-20 \\ & =2480 \Omega \text { in series }\end{aligned}\)
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