If the lens diameter is doubled, what happens to the resolvable angle of images produced at fixed wavelength? a. the angle decreases by a factor of two. b. the angle increases by a factor of four. c. the angle stays the same. d. the angle decreases by a factor of four. e. the angle increases by a factor of two.

Option A

Explanation:

Angular resolution for any optical equipment can be defined as the ability of that tool to differentiate the smallest details of the image formed.

The angular resolution is given by:

                  (1)

where

= Angular Resolution

= wavelength

d = diameter of the lens

Now,

As per the question:

If the diameter of the lens is doubled, i.e., d' = 2d

Then

From eqn (1):

Thus when the diameter is doubled the angular resolution becomes half of its original value.

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.