A point source emitting light uniformly in all directions is placed 60 cm above a table-top. The illuminance at a point on the table-top, directly below the source, is 15 lux. Find the illuminance at a point on the table-top 80 cm away from the first point.

Question

Philoid · Accepted Answer

Given,
Distance of the source from the table-top (r) = 60 cm or 0.6 m
Let be the intensity of illumination.

Illuminance directly below the source is given by,

⇒

Let be the illuminance at a point 80 cm away from the initial point.
So,

From the figure, we get

OB = 1 m

Substituting the respective values in the above formula, we get

So, the illuminance at a point on the table-top 80 cm away from the first point is 3.24 lux.