1)

When a resistor  of $11 \Omega$ is connected in series with a electric cell. The current following in it is 0.5A .In stead when a resistor of $5 \Omega$ is connected to the same electric  cell in series , the current  increases by 0.4A. The internal resistance of the cell  is        

 


A) $1.5 \Omega$

B) $2 \Omega$

C) $2.5 \Omega$

D) $3.5 \Omega$

Answer:

Option C

Explanation:

Here, $i= \frac{E}{R+r}$

$0.5 =\frac{E}{11+r} \Rightarrow E=5.5+0.5 r$

$0.9 =\frac{E}{5+r}$ or $E=4.5+0.9r$

 On solving  we get r=2.5$\Omega$