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Question: A Daniel cell is balanced on 125 cm lengths of a potentiometer wire. Now the cell is short circuited...

A Daniel cell is balanced on 125 cm lengths of a potentiometer wire. Now the cell is short circuited by a resistance 2Ω  and the balance is obtained at 100 cm. The internal resistance of the Daniel cell is

A

0.5 Ω

B

1.5 Ω

C

1.25 Ω

D

4/5 Ω

Answer

0.5 Ω

Explanation

Solution

r = (121)\left( \frac { \ell _ { 1 } } { \ell _ { 2 } } - 1 \right)R

= (1251001)\left( \frac { 125 } { 100 } - 1 \right) 2 = 0.25 × 2 = 0.5 Ω