Question

In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1.80 V. The difference in balancing length of potentiometer wire in above conditions will be ______ cm.

Options

• 51

• 52

• 53

• 54

Answer 1

In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1.80 V. The difference in balancing length of potentiometer wire in above conditions will be 54 cm.

Explanation:

As, E = Kℓ

1.2 = (Potential Gradient) × 36

1.8 = (Potential Gradient) × x

On dividing, we get

`2/3 = 36/x`

⇒ x = 18 × 3

= 54 cm