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A battery is connected to a potentiomete...

A battery is connected to a potentiometer and a balance point is obtained at `84 cm` along the wire. When its terminals are connected by a `5 Omega` resistor, the balance point changes to `70 cm`.
Find the new position of the balance point when `5 Omega` resistor is changed by `4 Omega` resistor.

A

`26.5 cm`

B

`52 cm`

C

`67.2 cm`

D

`83.3 cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`r = (l_(1) - l_(2))/(l_(2))R = (84 - 70)/(70) xx 5 = 1 Omega`
`1 = (l_(1) - l_(3))/(l_(3)) xx 4`, put `l_(1) = 84 cm` get `l_(3) = 67.2 cm`
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