Q86 / 90 · JEE Main 2018 (08 Apr) · Physics

In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across 52 cm of the potentiometer wire. If the cell is shunted by a resistance of 5 Ω ,a balance is found when the cell is connected across 40 cm of the wire. Find the internal resistance of the cell.

  • A
    2.5 Ω
  • B
    1 Ω
  • Correct answer
    C
    1.5 Ω
  • D
    2 Ω

Solution

Without shunting conditions, 

Figure

Es=52×x  .....(i), when, balanced, where, x= potential gradient of wire, with shunting condition

Figure

On balancing, Es-Er+Rr=40×x  ....(ii).
On solving:
(i)(ii)⇒11-rr+R=5240
∴r=1.5 Ω

Hence, the correct answer is option: 'C'.

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