The light collecting area of 140 m telescope is 196 times greater than 10 m telescopes.
The light collecting area is directly proportional to square of aperture:
A ∝ l²
Aperture of Keck Telescope = l₁ = 10 m
Aperture of 11 m telescope, l₂ = 140 m
Light collecting area of Keck telescope = A₁
Light collecting area of 110 m telescope = A₂
A₁ ∝ l₁²
A₂ ∝ I₂²
A₂/A₁ = I₂²/ l₁² = (140 m)²/(10 m)² = 196
Therefore, the light collecting area of 140 m telescope is 196 times greater than 10 m telescope.
To know more about telescope, refer: brainly.com/question/14393136
#SPJ4
