Respuesta :
Answer:
16 / 4 = ratio of diameters
A = pi r^2
A16 / A4 = pi * 8^2 / (pi 2^2) = 16
The light gathering power would increase by a factor of 16
The light-gathering power of the telescope increase by 16 times with that upgrade
What is Light gathering power of telescope ?
The Light gathering power of an optical telescope is the ability of a telescope to collect a lot more light than human eye .
Light gathering power can be calculated by the ratio of their diameter squared
light gathering power with initial aperture = L1
light gathering power with final aperture = L2
L2 / L1 = [tex]16^{2}[/tex] / [tex]4^{2}[/tex]
L2/L1 = 16
L2 = 16 L1
The light-gathering power of the telescope increase by 16 times with that upgrade
learn more about light-gathering power :
https://brainly.com/question/15279951?referrer=searchResults
#SPJ3
