Voltage across the load L is controlled by using circuit as shown in figure. P is a potentiometer. Resistance $$R_L$$ of the load and $$R_P$$ of the potentiometer are equal to R. Load L is connected to the middle of potentiometer. Input voltage V is constant. If now $$R_L$$ is doubled, the voltage across load will change by a factor

A

$$\frac{5}{4}$$

B

$$\frac{7}{5}$$

C

$$\frac{8}{9}$$

D

$$\frac{10}{9}$$