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A galvanometer, having a resistance of 50 Ω, gives a full scale deflection for a current of 0.05 A. The length in metre of a resistance wire of area of cross-section 2.97 × 10−2 cm2 that can be used to convert the galvanometer into an ammeter which can read a maximum of 5 A current is(Specific resistance of the wire =5 × 10−7 Ω m)

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a

9

b

6

c

3

d

1.5

answer is C.

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Detailed Solution

iig =1 + GS ⇒ 50.05 =1 =50S⇒ S= 5099 = ρ × lA ⇒ l=5099 × 2.97 × 10−2× 10−45 × 10−7=3 m

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A galvanometer, having a resistance of 50 Ω, gives a full scale deflection for a current of 0.05 A. The length in metre of a resistance wire of area of cross-section 2.97 × 10−2 cm2 that can be used to convert the galvanometer into an ammeter which can read a maximum of 5 A current is(Specific resistance of the wire =5 × 10−7 Ω m)