21st Century Astronomy And Learning Astronomy By Doing Astronomy (fifth Edition)
5th Edition
ISBN: 9780393613360
Author: Laura Kay, Ana Larson, Stacy Palen, George Blumenthal
Publisher: W. W. Norton & Company
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Chapter 5, Problem 30QP
To determine
The size of the orbit of a planet with same temperature as Earth.
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= 2000 K and a radius of R,
A young recently formed planet has a surface temperature T
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As a star runs out of hydrogen to fuel nuclear fusion in its core, changes within the star usually cause it to leave the main sequence, expanding and cooling as it does so. Would a star with a radius 6 times that of the Sun, but a surface temperature 0.4 times that of the Sun, be more, or less luminous than the Sun?
Show and explain your reasoning.
You may assume the surface area of a sphere is A = 4πr2.
Imagine a planet orbiting a star.
Observations show a Doppler shift in the
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Chapter 5 Solutions
21st Century Astronomy And Learning Astronomy By Doing Astronomy (fifth Edition)
Ch. 5.1 - Prob. 5.1CYUCh. 5.1 - Prob. 5.2CYUCh. 5.2 - Prob. 5.3CYUCh. 5.3 - Prob. 5.4CYUCh. 5.4 - Prob. 5.5CYUCh. 5.5 - Prob. 5.6CYUCh. 5 - Prob. 1QPCh. 5 - Prob. 2QPCh. 5 - Prob. 3QPCh. 5 - Prob. 4QP
Ch. 5 - Prob. 5QPCh. 5 - Prob. 6QPCh. 5 - Prob. 7QPCh. 5 - Prob. 8QPCh. 5 - Prob. 9QPCh. 5 - Prob. 10QPCh. 5 - Prob. 11QPCh. 5 - Prob. 12QPCh. 5 - Prob. 13QPCh. 5 - Prob. 14QPCh. 5 - Prob. 15QPCh. 5 - Prob. 16QPCh. 5 - Prob. 17QPCh. 5 - Prob. 18QPCh. 5 - Prob. 19QPCh. 5 - Prob. 20QPCh. 5 - Prob. 21QPCh. 5 - Prob. 22QPCh. 5 - Prob. 23QPCh. 5 - Prob. 24QPCh. 5 - Prob. 25QPCh. 5 - Prob. 26QPCh. 5 - Prob. 27QPCh. 5 - Prob. 28QPCh. 5 - Prob. 29QPCh. 5 - Prob. 30QPCh. 5 - Prob. 31QPCh. 5 - Prob. 32QPCh. 5 - Prob. 33QPCh. 5 - Prob. 34QPCh. 5 - Prob. 35QPCh. 5 - Prob. 36QPCh. 5 - Prob. 37QPCh. 5 - Prob. 38QPCh. 5 - Prob. 39QPCh. 5 - Prob. 40QPCh. 5 - Prob. 41QPCh. 5 - Prob. 42QPCh. 5 - Prob. 43QPCh. 5 - Prob. 44QPCh. 5 - Prob. 45QP
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- Let us imagine that the spectrum of a star is collected and we find the absorption line of Hydrogen-Alpha (the deepest absorption line of hydrogen in the visible part of the electromagnetic spectrum) to be observed at 656.5 nm instead of 656.3 nm as measured in a lab here on Earth. What is the velocity of this star in m/s? (Hint: speed of light is 3*10^8 m/s; leave the units off of your answer) Question 4 of 7 A Moving to another question will save this response. 1 6:59 & backsarrow_forwardLet’s say you’re looking for extrasolar planets. You observe a star that has a spectral shift in the line that is supposed to be at at 656.28011 nm – this star shows this line at 656.28005 nm. What is the radial velocity of star (in m/s) and in what direction in relation to you? a) 27.4 m/s, towards b) 27.4 km/s, away c) -27.4 m/s, toward d) -27.4 km/s, awayarrow_forwardLet us imagine that the spectrum of a star is collected and we find the absorption line of Hydrogen-Alpha (the deepest absorption line of hydrogen in the visible part of the electromagnetic spectrum) to be observed at 656.5 nm instead of 656.3 nm as measured in a lab here on Earth. What is the velocity of this star in m/s? (Hint: speed of light is 3*10^8 m/s; leave the units off of your answer)arrow_forward
- Two stars of the same diameter or observed to have surface temperatures of 4000 Kelvin and 16,000 Kelvin. Which star is probably the brighter of the two? How many times brighter?arrow_forwardImagine a planet orbiting a star. Observations show a Doppler shift in the star's spectrum of 58 m/s over the 3.3 day orbit of the planet. What is the mass of the planet in kg? Assume the star has the same mass as the Sun (2.0 x1030 kg), there are 365.25 days in a year, and 1AU = 1.5 x 1011 m.arrow_forwardThe three most prominent spectral lines of hydrogen are H-α at 656 nm, H-β at 486 nm, and H-γ 434 nm. If we observe an object with H-α at a wavelength of 700 nm, what wavelength will we observe H-β and H-γ? Is the object moving toward or away from us, and how do you know? Suppose we observe another object with H-α at 585 nm. Is this object moving toward or away from us? Is it moving slower or faster than the first object?arrow_forward
- Star B has a temperature that is 5 times higher than Star A. How much more energy per second (compared to Star A) does it radiate from a square meter of its surface? EA = O(TA) 4 EB = σ(TB)4 Again, we know that Star B's temperature is n times Star A's. TB = nTA EB = σ(NTA) 4 So in terms of Star A's energy, Star B's is: EB = EAarrow_forwardIf a star has a surface temperature of 18,000 K (1.80 ✕ 104 K), at what wavelength (in nm) will it radiate the most energy? Is this a cool or hot star? (Give your answer relative to the Sun.)arrow_forwardA star is moving toward Earth with a radial velocity (speed directly toward or away from Earth) of 40,000 km/s. If we take a spectrum of this star’s light, will we find it to be red shifted or blue shifted? By what fraction are the wavelengths in this star’s spectrum shifted? [Answer: λ0/λ = 0.88]arrow_forward
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