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In the potentiometer experiment, cells of e.m.f. E1 and E2 are connected in series (E1 > E2). the balancing length is 64 cm of the wire. If the polarity of E2 is reversed

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Question

In the potentiometer experiment, cells of e.m.f. E1 and E2 are connected in series (E1 > E2). the balancing length is 64 cm of the wire. If the polarity of E2 is reversed, the balancing length becomes 32 cm. The ratio `E_1/E_2` is ______   

Options

  • 1 : 2

  • 1 : 3

  • 2 : 1

  • 3 : 1

MCQ
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Solution

In the potentiometer experiment, cells of e.m.f. E1 and E2 are connected in series (E1 > E2). the balancing length is 64 cm of the wire. If the polarity of E2 is reversed, the balancing length becomes 32 cm. The ratio `E_1/E_2` is 3 : 1.

Explanation:

`E_1/E_2 = (ℓ_1 + ℓ_2)/(ℓ_1 - ℓ_2) = (64 + 32)/(64 - 32) = 96/32 = 3`

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