Q.

For the arrangement of the potentiometer shown in the figure, the balance point is obtained at a distance 75 cm from A when the key fr is open.The second balance point is obtained at 60 cm from A when the key k is closed. Find the internal resistance of the battery E1.

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a

1.5  Ω

b

2  Ω

c

0.5  Ω

d

1  Ω

answer is A.

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Detailed Solution

Let λ be resistance per unit length of wire AB. When k is opened,Iλx1 =E1           ….(1)After k is closed: Iλx2 =E1−ir         ….(2)i=E1R+r⇒   r=x1x2−1  R  0.750.60−1 = 6=1.5  Ω  ….(3)
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