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Current Electricity question

2023 · Q170
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Current Electricity question

2023 · Q170

NEETPhysicsCurrent ElectricityMCQ+4 / −1

The emf of a cell having internal resistance 1Ω1 \Omega1Ω is balanced against a length of 330 cm330 \mathrm{~cm}330 cm on a potentiometer wire. When an external resistance of 2Ω2 \Omega2Ω is connected across the cell, the balancing length will be :

  1. A
    220 cm
  2. B
    330 cm
  3. C
    115 cm
  4. D
    332 cm
View written solutionFree

Correct answer: A

$$\begin{aligned} & \mathrm{r}=\left(\frac{\ell_{\mathrm{o}}-\ell_{\mathrm{c}}}{\ell_{\mathrm{c}}}\right) \mathrm{R} \\ & 1=\left(\frac{330-\ell_{\mathrm{c}}}{\ell_{\mathrm{c}}}\right) \times 2 \\ & 3 \ell_{\mathrm{c}}=660 \\ & \ell_{\mathrm{c}}=220 \mathrm{~cm}\end{aligned}$$

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