
Answer & explanation
Correct answer: option 4
$ V = V_0 (1 - e^\frac{-t}{RC}) = \frac{V_0}{2}$
$\Rightarrow \frac{t}{RC} = ln2$
$\Rightarrow t = RC ln2$
$\text{For parallel arrangement } C_{eq} = 2C$
$\Rightarrow t_p= 2RC ln2$
$\text{For Series arrangemant } C_s = \frac{c}{2}$
$\Rightarrow t_s = \frac{RC}{2} ln2$
$\frac{t_s}{t_p} = \frac{1}{4}$
$\Rightarrow t_s = \frac{10}{4} = 2.5 Sec$