A resistor $$R$$ and $$2 \mu \text{F}$$ capacitor in series is connected through a switch to $$200 \, \text{V}$$ direct supply. Across the capacitor is a neon bulb that lights up at $$120 \, \text{V}$$. Calculate the value of $$R$$ to make the bulb light up $$5 \, \text{s}$$ after the switch has been closed. ($$\log_{10} 2.5 = 0.4$$)

A

$$1.7 \times 10^5 \, \Omega$$

B

$$2.7 \times 10^6 \, \Omega$$

C

$$3.3 \times 10^7 \, \Omega$$

D

$$1.3 \times 10^4 \, \Omega$$