Current Electricity Charging Discharging Of Capacitors Question 740

Question: 125 cm of potentiometer wire balances the emf of a cell and 100 cm of the wire is required for balance, if the poles of the cell are joined by $ 2\Omega $ resistor. Then the internal resistance of the cell is

Options:

A) $ 0.25\Omega $

B) $ 0.5\Omega $

C) $ 0.75\Omega $

D) $ 1.25\Omega $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ r=\frac{{\ell _{1}}-{\ell _{2}}}{{\ell _{2}}}\times R\Omega $ Here, $ {\ell _{1}}=125cm,{\ell _{2}}=100cm,R=2\Omega . $
$ \

Therefore r=0.5\Omega $