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A potentiometer has uniform potential gr...

A potentiometer has uniform potential gradient across it. Two cells connected in series (i) to support each other and (ii) to oppose each other are balanced over 6 m and 2 m respectively on the potentiometer wire. The e.m.f.’s of the cells are in the ratio of

A

`1:2`

B

`1:1`

C

`3:1`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(E_(1) + E_(2))/(E_(1)-E_(2)) = 6/2 rArr E_(1) + E_(2) = 3E_(1) - 3E_(2)`
`rArr 2E_(1) = 4E_(2) rArr E_(1)/E_(2) = 2 :1`
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