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Q.

When a galvanometer is shunted with a $4 Ω$ resistance, the deflection is reduced to 1/5. If the galvanometer is further shunted with a $2 Ω$ wire, the new deflection will be (assuming he main current remains the same)

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a

5/13 of the deflection when shunted with $4 Ω$ only

b

8/13 of the deflection when shunted with $4 Ω$ only

c

3/4 of the deflection when shunted with $4 Ω$ only

d

3/13 of the deflection when shunted with $4 Ω$ only

answer is A.

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Detailed Solution

When only $4 Ω$ resistance is shunted $i_{g} = i / 5$

$G \times i / 5 = 4 \times (4 / 5) o r G = 16 Ω$

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When a galvanometer is shunted with a 4 Ω resistance, the deflection is reduced to 1/5. If the galvanometer is further shunted with a 2 Ω wire, the new deflection will be (assuming he main current remains the same)