A telescope with a 60 mm objective lens collects how many times as much light as does your eye's 6 mm pupil?

A telescope with a 60 mm objective lens collects  approximately 100 times much light than 6 mm pupil of human eye.

Explanation:

The ability of a telescope to collect a lot more light than the human eye, is known as light gathering power.

To compare light-gathering powers of two telescopes or telescope and human eye, you divide the area of one telescope by the area of the other telescope.

Since the telescope is circular, we apply area of a circle.

(π*D²)/4

Telescope : (π*60²)/4 = 2827.8

Human eye (6 mm pupil): (π*6²)/4 =28.278

Gathering power = 2827.8/28.278 = 99.97, approximately 100 times

Therefore, A telescope with a 60 mm objective lens collects  approximately 100 times much light than 6 mm pupil of human eye.