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MHT CET 2023 (14 May, Shift 2) · Potentiometer

Potentiometer question from MHT CET 2023 (14 May, Shift 2)

Q40MHT CET 2023 · 14 MAY · SHIFT 2Medium

Potentiometer

In potentiometer experiment, the balancing length is 8 m8\text{ m} when two cells E1E_1 and E2E_2 are joined in series. When two cells are connected in opposition the balancing length is 4 m4\text{ m}. The ratio of the e.m.f. of the two cells (E1E2)\left(\frac{E_1}{E_2}\right) is

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Answer: (d)

  1. E1+E2E1−E2=84=2\frac{E_1 + E_2}{E_1 - E_2} = \frac{8}{4} = 2.
  2. E1+E2=2E1−2E2⇒E1=3E2E_1 + E_2 = 2E_1 - 2E_2 \Rightarrow E_1 = 3E_2.
  3. So the answer is (d) 3:13:1.
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