Answer:
Light collecting area of 6 mm telescope is 4 times greater than light collecting area of 3 mm telescope.
Explanation:
Diameter of 1st telescope = 6 mm
Diameter of 2nd telescope = 3 mm
Light collecting area of telescope is given as
[tex]A=\frac{\pi D^{2}}{4}[/tex]
For 1st telescope
[tex]A_{1}=\frac{\pi (6)^{2}}{4}\\\\A_{1}=9\pi[/tex]
For 2nd telescope
[tex]A_{2}=\frac{\pi (3)^{2}}{4}\\\\A_{1}=\frac{9}{4}\pi[/tex]
[tex]A_{1}=\frac{1}{4}A_{2}\\\\A_{2}=4A_{1}[/tex]
Which means light collecting area of 6 mm telescope is 4 times greater than light collecting area of 3 mm telescope.
