Two resistances of same value, one capacitor and one micro ammeter is connected to a 5V battery of negligible internal resistance and a switch (s) as shown in the figure. When the switch is closed the micro ammeter shows a reading of 20 $\mu A$. The value of R is

$250 \, kΩ$

The correct answer is option (1) : $250 \, kΩ$

At the time switch is closed capacitor behaves like a closed switch

$⇒\frac{5}{R}=20\times 10^{-6}$

$⇒R=250 \, kΩ$