In the circuit shown here, the point $C$ is kept connected to point $A$ till the current flowing through the circuit becomes constant. Afterward, suddenly, point $C$ is disconnected from point $A$ and connected to point $B$ at time $t = 0.$ Ratio of the voltage across resistance and the inductor at $t = \large\frac{L}{R}$ will be equal to

Question

$\begin{array}{1 1}(A)\;-1 \\ (B)\;\frac{1-e}{e} \\(C)\;\frac{e}{1-e} \\(D)\;1 \end{array}$