Q151 / 180 · COMEDK 2012 · Physics

A wire of uniform cross-section has a resistance $R$. It is cut into ten equal parts. The parts are connected in parallel between two points $A$ and $B$. The effective resistance between $A$ and $B$ will be

  • Correct answer
    A
    $0.01 R$
  • B
    $0.1 R$
  • C
    $R$
  • D
    $10 \mathrm{R}$

Solution

When a wire of resistance $R$ is cut into 10 equal parts, then resistance of each part, $$ R^{\prime}=\frac{R}{10}=0.1 R $$ Equivalent resistance of parallel combination of resistors, is $$ R_{\mathrm{eq}}=\frac{R^{\prime}}{10}=\frac{0.1 R}{10}=0.01 R $$

Hence, the correct answer is option: 'A'.

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