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JEE Main 2019 (10 Apr, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2019 (10 Apr, Shift 1)

Q151JEE Main 2019 · 10 APR · SHIFT 1Easy

Kirchhoff's Laws & Measuring Instruments

A moving coil galvanometer allows a full scale current of 10–4 A. A series resistance of 2 MΩ\Omega is required to convert the above galvanometer into a voltmeter of range 0-5 V. Therefore the value of shunt resistance required to convert the above galvanometer into an ammeter of range 0-10 mA is:

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Answer: (d)

  1. For the voltmeter: Ig(G+R)=5⇒G+R=510−4=5×104 ΩI_g(G + R) = 5 \Rightarrow G + R = \frac{5}{10^{-4}} = 5 \times 10^4\ \Omega.
  2. With R=2 MΩR = 2\text{ M}\Omega this gives G=5×104−2×106<0G = 5 \times 10^4 - 2 \times 10^6 < 0, which is impossible.
  3. So the data is inconsistent and no option fits: the answer is (d) None of the options are correct.
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