How much more light can the james webb space telescope (with its 6-m diameter mirror) gather than the hubble space telescope (with a diameter of 2.4 m)?

James Webb Space Telescope has 6.25 times the light collecting area than the mirror of Hubble Space Telescope.

Explanation:

Radius of Hubble Space Telescope mirror = 2.4/2 = 1.2 m

Radius of James Webb Space Telescope mirror = 6/2 = 3 m

Area of mirror of Hubble Space Telescope= πr² = π × 1.2² = 4.52 m²

Area of mirror of James Webb Space Telescope = π × 3² = 28.27 m²

Ratio of mirror area

[tex]\frac{A_J}{A_H}=\frac{28.27}{4.52}\\\Rightarrow A_J=6.25A_H[\tex]

mirror of James Webb Space Telescope has 6.25 times the area of mirror of Hubble Space Telescope.

Which means the James Webb Space Telescope has 6.25 times the light collecting area than the mirror of Hubble Space Telescope.