Answer
(e) $ \frac{I_1 }{I_2 } = \frac{ R_2}{R_1 }$
Work Step by Step
Voltage across both $R_1$ and $R_2$ is $V$
Now,
$ I_1 = \frac{V }{ R_1}$
$I_2 = \frac{ V}{R_2 }$
$ \therefore \frac{ I_1}{I_2 } = \frac{V }{R_1 }* \frac{ R_2}{ V}$
$\implies \frac{I_1 }{I_2 } = \frac{ R_2}{R_1 }$
