A resistor $'R'$ and $2\mu F$ capacitor in series is connected through a switch to $200$ $V$ direct supply. Across the capacitor is a neon bulb that lights up at $120$ $V.$ Calculate the value of $R$ to make the bulb light up $5$ $s$ after the switch has been closed. $\left( {{{\log }_{10}}2.5 = 0.4} \right)$
$1.7 \times {10^5}\,\Omega $
$2.7 \times {10^6}\,\Omega $
$3.3 \times {10^7}\,\Omega $
$1.3 \times {10^4}\,\Omega $
Solution
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