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Katena32 [7]
3 years ago
8

How much more light does an 8-meter telescope gather than a 2-meter telescope?

Physics
1 answer:
Colt1911 [192]3 years ago
3 0

Answer:

8 meter telescope 16 times more gather light than 2 meter telescope.

Explanation:

The amount of light gather by the telescope is known as Light Gathering Power (LGP).

Light Gathering Power is determine by the relation:

LGP = \pi \frac{(length\ of\ telescope)^{2} }{4}

In this problem, let l₁ and l₂ be the length of two telescopes and (LGP)₁ and (LGP)₂ be the light gathering power of two telescopes respectively. Then the ratio of their LGP is :

\frac{(LGP)_{1} }{(LGP)_{2}} = \frac{l_{1} ^{2} }{l_{2} ^{2}}

Substitute 8 m for l₁ and 2 m for l₂ in the above equation.

\frac{(LGP)_{1} }{(LGP)_{2}} = \frac{8 ^{2} }{2 ^{2}}

\frac{(LGP)_{1} }{(LGP)_{2}} = 16

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