The Figure Shows a Simple RC Circuit Consisting of a 10.0-µF

Multiple Choice

The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s the potential difference between the capacitor plates is reduced to 37 % of its original value.
-Determine the numerical value of the resistance R.

A) 1.0 × 10⁵ $\varOmega$
B) 2.0 × 10⁵ $\varOmega$
C) 5.0 × 10⁵ $\varOmega$
D) 1.0 × 10⁶ $\varOmega$
E) 2.5 × 10⁶ $\varOmega$