Problem 24.40 The Hubble Space Telescope has a mirror diameter of 2.4 m. Suppose

Question

Problem 24.40

The Hubble Space Telescope has a mirror diameter of 2.4 m. Suppose the telescope is used to photograph stars near the center of our galaxy, 30,000 light years away, using red light with a wavelength of 690 nm .

Part A

What's the distance (in km) between two stars that are marginally resolved? The resolution of a reflecting telescope is calculated exactly the same as for a refracting telescope.

Express your answer using two significant figures.

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Part B

For comparison, what is this distance as a multiple of the distance of Jupiter from the sun?

Express your answer using two significant figures.

Problem 24.40

The Hubble Space Telescope has a mirror diameter of 2.4 m. Suppose the telescope is used to photograph stars near the center of our galaxy, 30,000 light years away, using red light with a wavelength of 690 nm .

Part A

What's the distance (in km) between two stars that are marginally resolved? The resolution of a reflecting telescope is calculated exactly the same as for a refracting telescope.

Express your answer using two significant figures.

d =   km  

SubmitMy AnswersGive Up

Part B

For comparison, what is this distance as a multiple of the distance of Jupiter from the sun?

Express your answer using two significant figures.

d =

Explanation / Answer

theta= 1.22 lambda / D = 3.5075*10^-7
Then you use your small angapproximationch says sin theta=tan theta=theta so
theta=Y/(30000 light years *9.4605284 × 10^12 kilometers) =9.95*10^10

b. You just divide part a by the average distance of jupiter to the sun(778,412,010)= 127

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