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In a potentiometer experiment, if the balance point is found at 4 m for a cell o

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Question: In a potentiometer experiment, if the balance point is found at 4 m for a cell of unknown emf, what is the emf if the potential gradient is 2 V/m?

Options:

  1. 4 V
  2. 6 V
  3. 8 V
  4. 10 V

Correct Answer: 8 V

Solution:

The emf can be calculated using the formula: emf = potential gradient Γ— length. Here, emf = 2 V/m Γ— 4 m = 8 V.

In a potentiometer experiment, if the balance point is found at 4 m for a cell o

Practice Questions

Q1
In a potentiometer experiment, if the balance point is found at 4 m for a cell of unknown emf, what is the emf if the potential gradient is 2 V/m?
  1. 4 V
  2. 6 V
  3. 8 V
  4. 10 V

Questions & Step-by-Step Solutions

In a potentiometer experiment, if the balance point is found at 4 m for a cell of unknown emf, what is the emf if the potential gradient is 2 V/m?
Correct Answer: 8 V
  • Step 1: Identify the given values from the problem. We have a balance point at 4 meters and a potential gradient of 2 volts per meter.
  • Step 2: Write down the formula to calculate the electromotive force (emf). The formula is: emf = potential gradient Γ— length.
  • Step 3: Substitute the values into the formula. Here, potential gradient is 2 V/m and length is 4 m.
  • Step 4: Perform the multiplication: 2 V/m Γ— 4 m = 8 V.
  • Step 5: Conclude that the emf of the cell is 8 volts.
  • Potentiometer Principle – The potentiometer measures the emf of a cell by balancing it against a known potential gradient over a specific length.
  • Potential Gradient – The rate of change of potential per unit length, which is crucial for calculating emf in a potentiometer setup.
  • Calculation of emf – Using the formula emf = potential gradient Γ— length to determine the emf based on the measured balance point.
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