1)

 In a potentiometer experiment, the balancing length of a cell is 560 cm. When an external resistance of 10 Ω is connected in parallel to the cell, the balancing length changes by 60 cm. The internal resistance of a cell is 


A) $1.4 \Omega$

B) $1.6 \Omega$

C) $0.12 \Omega$

D) $1.2 \Omega$

Answer:

Option D

Explanation:

 Let us consider a cell of emf E and balancing length l1

 E=kl1

 potential difference is balanced by length  l2 , V= kl2

 $r= \left(\frac{E-V}{V}\right)R= \left(\frac{E}{V}-1\right)R= \left(\frac{l_{1}}{l_{2}}-1\right)R$

 $r= \left(\frac{560}{560-60}-1\right)10= \left(\frac{56}{50}-1\right)10= \frac{6}{5}=1.2 $ Ω