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Question

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 emf’s of the cells are in the ratio of

A
1 : 2
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B
1 : 1
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C
3 : 1
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D
2 : 1
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Solution

The correct option is D 2 : 1
If suppose emf’s of the cells are E1 and E2 respectively then
E1+E2=x×6 .........(i) [x = potential gradient) ]
and E1E2=x×2 ........(ii)
E1+E2E1E2=31E1E2=21

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