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A potentiometer wire AB having length L ...

A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf `epsi//2` and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in fig. Shows no deflection is :

A

`13/36 L`

B

`11/12 L`

C

`11/24 L`

D

`5/12 L`

Text Solution

Verified by Experts

The correct Answer is:
A

`i=(epsi)/(13r)`
` (epsi)/(3) iR_x = (epsi)/(13r) xx (x/L xx 12 r)`
`1/3 = 12/13 x/L rArr 1/3 = 12/13 x/L rArr x/L = 13/36`
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