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MHT CET 2020 (19 Oct, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from MHT CET 2020 (19 Oct, Shift 2)

Q138MHT CET 2020 · 19 OCT · SHIFT 2Easy

Kirchhoff's Laws & Measuring Instruments

Two galvanometers $A$ and $B$ require currents of 4 mA and 7 mA, respectively to produce the same deflection of 20 divisions. If $S_A$ and $S_B$ are their sensitivities respectively, then

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Answer: (b)

Current sensitivity $S = \frac{\theta}{I}$ (divisions per unit current).
$S_A = \frac{20}{4} = 5$ div/mA, $S_B = \frac{20}{7} \approx 2.86$ div/mA.
A needs less current for the same deflection, so it is more sensitive.
So the answer is (b) $S_A > S_B$ .

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