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Resistance of a potentiometer wire of length 4 m is 10 Ω and emf of its driving cell is 4 volt. What resistance must be added in series with potentiometer wire so that 3 m length of potentiometer wire can balance a cell of emf 2 volt ?

a
10 Ω
b
15 Ω
c
1.5 Ω
d
5 Ω

detailed solution

Correct option is D

Resistance per unit length of potentiometer wire is λ=104 Ω/m=2.5 Ω/mAfter resistance R is inserted, in potentiometer wire circuit, current i=410+R A∴3 x 2.5 x 410+R=2⇒R=5 Ω

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