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Question: Answered & Verified by Expert
In an experiment to determine the resistance of a galvanometer by half deflection method, the circuit shown is used. In one set of readings, if R=10 Ω and S =4 Ω, then the resistance of the galvanometer is

PhysicsExperimental PhysicsJEE Main
Options:
  • A 20 3  Ω
  • B 40 3  Ω
  • C 50 3  Ω
  • D 70 3  Ω
Solution:
2321 Upvotes Verified Answer
The correct answer is: 20 3  Ω

In 1st case, 

I1=ER+G

In 2nd case,

I2=ER+SGS+G

for half deflection,

I2G=12I1

12ER+G=ER+SGS+GSS+G

G=RSR-S

G=10×410-4=203 Ω

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