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Chapter 35: Q.47 (page 995)

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 650 nm.

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.

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

Short Answer

Expert verified

a.)θ=1.9297×10-5b.)d=3.8cm

Step by step solution

01

part(a) step.1:given information 

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

02

Part (a) step.2: calculation


03

Part(b) step.1 given information 

this distance as a multiple of the distance of Jupiter from the sun

04

Part (b) Step.2 


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Most popular questions from this chapter

A reflection telescope is build with a 20cmdiameter mirror having a 1.00mfocal length. it is used with a 10Xeyepiece. what are

(a) the magnification and

(b) the f-numberof the telescope?

Alpha Centauri, the nearest star to our solar system is 4.3light years away. assume that alpha centauri has a planet with an advanced civilization. professor Dhg, at the planet's Astronomical Institute, wants to build a telescope with which he can find out whether any planets are orbiting our sun.

(a). What is the minimum diameter for an objectives lens that will just barely resolve Jupiter and the sun? The radius of Jupiter's orbit is 780millionkm.Assume λ=600nm.

(b). Building a telescope of the necessary size does not appear to be a major problem. What practical difficulties might prevent professor Dhg's experiment from succeeding?

A 2.0-tall object is 20cmto the left of a lens with a focal length of 10cm. A second lens with a focal length of -5cm is 30cm to the right of the first lens.

a. Use ray tracing to find the position and height of the image. Do this accurately using a ruler or paper with a grid, then make measurements on your diagram.

b. Calculate the image position and height. Compare with your ray-tracing answers in part a.

Two light bulbs are 1.0mapart. from, what distance can these light bulbs be marginally resolved by a small telescope with a 4.0-cm-diameterobjective lens? assume that the lens is diffraction limited andλ=600nm.

The rays leaving the two-component optical system of FIGUREP35.27produce two distinct images of the1.0cm-tall object. what are the position (relative to the lens), orientation, and height of each image?
See all solutions

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