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Potentiometer: balancing length when the cell is replaced by one of another emf

This type of question, asked 3 times: 14 Jun 2022, 25 Jul 2022, 1 Feb 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jun 2022

    29
    In a potentiometer arrangement, a cell gives a balancing point at 75 cm75\text{ }cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3:23:2, the difference in the balancing length of the potentiometer wire in above two cases will be ____\_\_\_\_ cmcm.
  2. Question 2

    25 Jul 2022

    115
    In a potentiometer arrangement, a cell of emf 1.20 V1.20\text{ }V gives a balance point at 36 cm36\text{ }cm length of wire. This cell is now replaced by another cell of emf 1.80 V1.80\text{ }V. The difference in balancing length of potentiometer wire in above conditions will be ____\_\_\_\_ cmcm.
  3. Question 3

    1 Feb 2023

    26
    In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of emf 1.5 V1.5\text{ }V is found to be 60 cm60\text{ }cm. If this cell is replaced by another cell of emf EE, the length-of null point increases by 40 cm40\text{ }cm. The value of EE is x10V\frac{x}{10}V. The value of xx is___