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Q.

Figures of merit of two galvanometers of resistance 100Ω and 50Ω, are 10^–8 A/div and 2 × 10^–5A/div respectively. In which case the voltage sensitivity is more ?

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a

more in case I

b

can’t say

c

more in case II

d

same in both cases

answer is A.

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Detailed Solution

$\begin{array}{l} Vg = \frac{1}{n} V; n = \frac{V}{Vg}, nα \frac{1}{Vg} \\ \frac{n_{1}}{n_{2}} = \frac{{Vg}_{2}}{{Vg}_{1}} = \frac{2 \times 10^{- 5} \times 50}{10^{- 8} \times 100}; \frac{n_{1}}{n_{2}} = 10^{3} \end{array}$
voltage sensitivity is more in first galvanometer

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