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JEE Main 2024 (5 Apr, Shift 2) · Combination of Resistors

Combination of Resistors question from JEE Main 2024 (5 Apr, Shift 2)

Q20JEE Main 2024 · 5 APR · SHIFT 2Medium

Combination of Resistors

A wire of resistance $20\ \Omega$ is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is _________ $\Omega$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 5

Each part is $\dfrac{20}{10} = 2\ \Omega$ .
Each pair in parallel: $\dfrac{2}{2} = 1\ \Omega$ ; there are 5 pairs.
5 pairs in series: $5 \times 1 = 5\ \Omega$

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