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NEET 2025
Exam
NEET
Year
2025
Subject
Physics
Chapter
Current Electricity

NEET 2025 · Physics · Current Electricity

A wire of resistance R is cut into 8 equal pieces. From these...

A wire of resistance R is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is :

Options

  1. AR64\frac{\mathrm{R}}{64}
  2. BR32\frac{\mathrm{R}}{32}
  3. CR16\frac{\mathrm{R}}{16}
  4. DR8\frac{\mathrm{R}}{8}

Correct answer

C. R16\frac{\mathrm{R}}{16}

Step-by-step solution

 Resistance of each part =R/8Req =14(R/8)+14(R/8)=R16\begin{aligned} & \text{ Resistance of each part }=\mathrm{R} / 8 \\ & \mathrm{R}_{\text{eq }}=\frac{1}{4}(\mathrm{R} / 8)+\frac{1}{4}(\mathrm{R} / 8)=\frac{\mathrm{R}}{16}\end{aligned}
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