A point light source emits E.M. waves in free space. A detector, placed at a distance of $$L$$ m, measures the intensity as $$I_0$$. The detector is now shifted to another location on the same spherical surface ensuring the angle between original location and new location as 45$$^\circ$$. The measured intensity at new location will be _______.

A

$$\frac{I_0}{4}$$

B

$$I_0$$

C

$$\frac{I_0}{\sqrt{2}}$$

D

$$\frac{I_0}{2}$$