Kirchhoff's Laws & Measuring Instruments question from JEE Main 2022 (26 Jul, Shift 1)

Answer: (a)

1. Label the nodes: the four $4\ \Omega$ resistors form the arms of a bridge and $2\ \Omega$ is the bridge wire.
2. All arms are equal ($\frac{4}{4} = \frac{4}{4}$), so the bridge is balanced and $2\ \Omega$ carries no current.
3. $R_{eq} = 8 \parallel 8 = 4\ \Omega$
4. $I = \frac{40}{4} = 10$ A
5. So the answer is (a) 10 A.