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JEE Main202225 Jun 2022Morning ShiftPhysicsCurrent ElectricityActual

A teacher in his physics laboratory allotted an experiment to determine the resistance G a galvanometer. Students took the observations for 1 3 deflection in the galvanometer. Which of the below is true for measuring value of G ?

Options

  1. A1 3 deflection method cannot be used for determining the resistance of the galvanometer.
  2. B1 3 deflection method can be used and in this case the G equals to twice the value of shunt resistance(s).
  3. C1 3 deflection method can be used and in this case, the G equals to three times the value of shunt resistance(
  4. D1 3 deflection method can be used and in this case the G value equals to the shunt resistance(s)

Correct answer

B. 1 3 deflection method can be used and in this case the G equals to twice the value of shunt resistance(s).

Step-by-step solution

If a large resistance R is connected with a battery, then current will be approximately ε R , and t will remain almost constant. In 1 st   case, only G is connected ⇒ i g = i In 2 nd   case, i g R 0 = I - i g S ⇒ i g 2 = S R g + S i If i g 2 = 1 3 i g , ⇒ S R g + S i = 1 3 i R g = 2 S

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