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The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery, whose internal resistance is 0.5 Ω. If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery is
  • a)
    0.2 E
  • b)
    0.3 E
  • c)
    0.4 E
  • d)
    0.5 E
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The length of a wire of a potentiometer is 100 cm, and the e.m.f. of i...
To find the e.m.f. of the battery using a potentiometer, we need to understand the principle of operation of a potentiometer.

A potentiometer is a device used to measure the potential difference (e.m.f.) between two points in an electrical circuit. It consists of a long uniform wire of length L, a standard cell of e.m.f. E, and a battery of unknown e.m.f. and internal resistance r.

The principle of a potentiometer is based on the fact that the potential difference across a uniform wire is directly proportional to the length of the wire.

Given:
Length of the wire, L = 100 cm
E.m.f. of standard cell, E = E volt
Balance point, l = 30 cm

Using the principle of a potentiometer, we can write the equation:
E/m = (l/L)

Where E is the e.m.f. of the battery and m is the length of the wire from the positive end to the balance point.

To find the e.m.f. of the battery, we need to rearrange the equation:
E = mE/L

Substituting the given values:
E = (30 cm)(E volt)/(100 cm)

Simplifying the equation:
E = 0.3E volt

Therefore, the e.m.f. of the battery is 0.3E volt.

Hence, the correct answer is option B - 0.3E.
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The length of a wire of a potentiometer is 100 cm, and the e.m.f. of i...
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The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery, whose internal resistance is 0.5 Ω. If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery isa)0.2 Eb)0.3 Ec)0.4 Ed)0.5 ECorrect answer is option 'B'. Can you explain this answer?
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The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery, whose internal resistance is 0.5 Ω. If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery isa)0.2 Eb)0.3 Ec)0.4 Ed)0.5 ECorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery, whose internal resistance is 0.5 Ω. If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery isa)0.2 Eb)0.3 Ec)0.4 Ed)0.5 ECorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery, whose internal resistance is 0.5 Ω. If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery isa)0.2 Eb)0.3 Ec)0.4 Ed)0.5 ECorrect answer is option 'B'. Can you explain this answer?.
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