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Questions  

A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 m long. When the resistance R, connected across the given cell, has values of 
(i) infinity              (ii) 9.5 Ω  the balancing lengths on the potentiometer wire are found to be 3 m and 2.85 m, respectively. The value of internal resistance of the cell is 
 

a
0.25 Ω
b
0.95 Ω
c
0.5 Ω
d
0.75 Ω

detailed solution

Correct option is C

The internal resistance of the cell is r=l1l2-1RHere, l1=3 m,l2=2.85 m,R=9.5Ω∴  r=32.85-1(9.5Ω)=0.152.85×9.5Ω=0.5Ω

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