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Q.

Deflection of galvanometer in the circuit id 71 divisions. A shunt of $15 Ω$ is connected parallel to galvanometer and value of R is adjusted such that main current remains the same. If the deflection in the galvanometer falls to 158 divisions then the resistance G of galvanometer is ( in ohm)

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a

56

b

\frac{142}{3}

c

\frac{112}{3}

d

40

answer is C.

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Detailed Solution

S = \frac{G}{\frac{i}{g} - 1} \Rightarrow 15 = \frac{G}{(\frac{71}{15} - 1)}

$15 = \frac{G \times 15}{71 - 15}$

$∴ G = 56 Ω$

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Deflection of galvanometer in the circuit id 71 divisions. A shunt of15 Ω is connected parallel to galvanometer and value of R is adjusted such that main current remains the same. If the deflection in the galvanometer falls to 158 divisions then the resistance G of galvanometer is ( in ohm)