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In the potentiometer experiment, the balancing length with a cell E1 of unknown e.m.f. is 'ℓ1' cm. By shunting the cell with resistance R Ω, the balancing length becomes ℓ12 cm -

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Question

In the potentiometer experiment, the balancing length with a cell E1 of unknown e.m.f. is 'ℓ1' cm. By shunting the cell with resistance R Ω, the balancing length becomes `ℓ_1/2` cm, the internal resistance (r) of a cell is ______

Options

  • r = 2R 

  • r = 0

  • r = `R/2`

  • r = R

MCQ
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Solution

In the potentiometer experiment, the balancing length with a cell E1 of unknown e.m.f. is 'ℓ1' cm. By shunting the cell with resistance R Ω, the balancing length becomes `ℓ_1/2` cm, the internal resistance (r) of a cell is r = R.

Explanation:

r = `R(ℓ_1/ℓ_2 - 1)     ℓ_2 = ℓ_1/2`

Putting the values and solving we get

r = R

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