JEE MAIN - Physics (2022 - 25th June Morning Shift - No. 18)

A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for $${1 \over 3}$$ deflection in the galvanometer. Which of the below is true for measuring value of G?
$${1 \over 3}$$ deflection method cannot be used for determining the resistance of the galvanometer.
$${1 \over 3}$$ deflection method can be used and in this case the G equals to twice the value of shunt resistances.
$${1 \over 3}$$ deflection method can be used and in this case, the G equals to three times the value of shunt resistances.
$${1 \over 3}$$ deflection method can be used and in this case the G value equals to the shunt resistances.

Explanation

The circuit for the given situation is:

JEE Main 2022 (Online) 25th June Morning Shift Physics - Current Electricity Question 140 English Explanation

Since G and S are in parallel,

$$\Rightarrow$$ $${i \over 3}$$ $$\times$$ G = $${2i \over 3}$$ $$\times$$ S

$$\Rightarrow$$ G = 2S

$$\Rightarrow$$ G equals twice the value of shunt resistance.

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