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In a potentiometer experiment, if the balancing length is found to be 4m for a c

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Question: In a potentiometer experiment, if the balancing length is found to be 4m for a cell of unknown EMF, what is the EMF if the potential gradient is 3 V/m?

Options:

  1. 6 V
  2. 8 V
  3. 12 V
  4. 15 V

Correct Answer: 12 V

Solution:

EMF = Potential Gradient Γ— Balancing Length = 3 V/m Γ— 4 m = 12 V.

In a potentiometer experiment, if the balancing length is found to be 4m for a c

Practice Questions

Q1
In a potentiometer experiment, if the balancing length is found to be 4m for a cell of unknown EMF, what is the EMF if the potential gradient is 3 V/m?
  1. 6 V
  2. 8 V
  3. 12 V
  4. 15 V

Questions & Step-by-Step Solutions

In a potentiometer experiment, if the balancing length is found to be 4m for a cell of unknown EMF, what is the EMF if the potential gradient is 3 V/m?
  • Step 1: Understand that the EMF (Electromotive Force) of a cell can be calculated using the formula: EMF = Potential Gradient Γ— Balancing Length.
  • Step 2: Identify the values given in the problem. The potential gradient is 3 V/m and the balancing length is 4 m.
  • Step 3: Substitute the values into the formula: EMF = 3 V/m Γ— 4 m.
  • Step 4: Perform the multiplication: 3 V/m Γ— 4 m = 12 V.
  • Step 5: Conclude that the EMF of the cell is 12 V.
  • Potentiometer Principle – The relationship between EMF, potential gradient, and balancing length in a potentiometer setup.
  • Potential Gradient – The rate of change of potential per unit length along the wire.
  • Balancing Length – The length of the wire at which the potential difference equals the EMF of the cell being measured.
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