A football of radius R is kept on a hole of radius r (𝑟 < 𝑅) made on a plank kept horizontally. One end of the plank is now lifted so that it gets tilted making an angle 𝜃 from the horizontal as shown in the figure below. The maximum value of $$\theta$$ so that the football does not start rolling down the plank satisfies (figure is schematic and not drawn to scale)

A

$$\sin \theta = \frac{r}{R}$$

B

$$\tan \theta = \frac{r}{R}$$

C

$$\sin \theta = \frac{r}{2R}$$

D

$$\cos \theta = \frac{r}{2R}$$