betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness, compared to betelgeuse, would be which of the following?

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23-12-2022
Physics

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betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness, compared to betelgeuse, would be which of the following?

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Paruljain Paruljain · Answer 1 · 2022-12-28T01:36:56-05:00

Betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness is 1/16, option (a) is correct, compared to Betelgeuse.

The brightness of a star, as seen from Earth, is determined by its luminosity (the amount of energy it emits) and its distance from Earth. As a star gets further away, its apparent brightness (the amount of light it appears to emit) decreases. To compare the relative brightness of two stars, you can use the inverse square law, which states that the intensity of a point source of light (such as a star) is inversely proportional to the square of the distance from the source. In other words, if a star is located twice as far away as another star, its apparent brightness will be 1/4 of the other star's apparent brightness. In this case, the star located at 2000 light years away is four times further away from Earth than Betelgeuse, which is located 500 light years away. Therefore, according to the inverse square law, the relative brightness of the star located at 2000 light years away compared to Betelgeuse would be 1/4 x 1/4 = 1/16. In other words, the star located at 2000 light years away would appear to be 16 times dimmer than Betelgeuse.

So, the correct answer is "1/16".

To know more about light years please refer: https://brainly.com/question/13218254

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Question - Betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness, compared to Betelgeuse, would be which of the following?

(a) 1/16, (b) 1/2, (c) 1/35, (d) 1/15