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BITSAT2009PhysicsCurrent ElectricityActual

The length of a potentiometer wire is . A cell of emf E is balanced at a length / 3 from the positive end of the wire. If the length of the wire is increased by / 2 . At what distance will be the same cell give a balance point.

Options

  1. A2 / 3
  2. B/ 2
  3. C/ 6
  4. D4 / 3

Correct answer

B. / 2

Step-by-step solution

Potential gradient in the first case = E ₀ E = ( 3 ) ( E ₀ )= E ₀ 3 Potential gradient in second case = E₀ 3 / 2 (x) 2 E₀ 3 From equations (i) and (ii), E ₀ 3 - ( 2 E ₀ 3 ) x x = 2

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