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Figure shows a potentiometer circuit, a ...

Figure shows a potentiometer circuit, a cell of emf `E_1` is balanced by length l' of the potentiometer wire. If this cell is replaced by another of emf `E_2`, it is found that total length of potentiometer wire has to be increased by 50%, in order to have the same balance length (l'). Then `E_1//E_2` is______.

A

`3/2`

B

`5/2`

C

`2/5`

D

`7/2`

Text Solution

Verified by Experts

`E_1=kl`
Also `E_2=((E_A times 1.5R)/(1.5R times 1.5l))l'`
`E_1/E_2=1.5/1=3/2`
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