MCQ $8.$ An initially uncharged capacitor and a $100k$ resistor are connected in series with an EMF source at $t=0$ to form a complete circuit. If the capacitor is charged to half of its maximum value in $0\mathrm{.}1-s.$ What must be the capacitance of the capacitor?

a$)0\mathrm{.}5F$

b$)1\mathrm{.}0F$

c$)1\mathrm{.}4F$

d$)2\mathrm{.}5F$

e$)6\mathrm{.}9F$