A circular disc of radius $$R = 10\ \text{cm}$$ is uniformly rolling on a horizontal surface with a velocity $$v = 4\ \text{m}/\text{s}$$ of centre of mass without slipping. The time taken by the disc to have the speed of point $$A$$, which lies on the circumference, equal to the present speed of point $$B$$, where point $$B$$ lies midway between centre and point $$A$$, is

A

$$t=0.025\ \text{s}$$

B

$$t=0.036\ \text{s}$$

C

$$t=0.046\ \text{s}$$

D

$$t=0.064\ \text{s}$$