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)