21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 21, Problem 26QP
To determine

The significance of CMB displaying black body spectrum.

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[6/2, 7:18 AM] Ali Diaa: Telescopes are an essential tool for astronomers to study the universe. You plan to build yourown telescope that can resolve the Great Red Spot on the surface of Jupiter at a wavelength of600 nm. The farthest distance between the Earth and Jupiter is 968 × 106 km and the Great RedSpot has currently a diameter of 16,500 km.(a) Use the Rayleigh criterion to determine the diameter of the lens’ aperture of your telescopethat is needed to resolve the Great Red Spot on Jupiter.[6/2, 7:44 AM] Ali Diaa: Scientists are developing a new space cannon to shoot objects from the surface of the Earth directly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initialvelocity of 2.8 km/s vertically into the sky.Calculate the height that the projectile reaches, ...(a) assuming a constant gravitational deceleration of 9.81 m/s2.(b) considering the change of the gravitational force with height.Note: Neglect the air resistance for this problem.…
Assuming stars to behave as black bodies stefan-boltzmann law to show that the luminosity of a star is related to its surface temperature and size in the following way:  L = 4(3.14)R^2oT^4   where o= 5.67 ×10^-8 Wm^-2 K-4 is the stefan- boltzmann constant. Then use this expression together with the knowledge that the sun has a surface temperature of 5700k and radius 695 500km to calculate the luminosity of the Sun in units of Watts
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