UNIVERSE (LOOSELEAF):STARS+GALAXIES
6th Edition
ISBN: 9781319115043
Author: Freedman
Publisher: MAC HIGHER
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Chapter 16, Problem 14Q
To determine
The amount of hydrogen Sirius converted into helium each second.
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A star such as our Sun will eventually evolve to a “red giant” star and then to a “white dwarf” star. A typical white dwarf is approximately the size of Earth, and its surface temperature is about 2.4 × 104 K. A typical red giant has a surface temperature of 3.2 × 103 K and a radius ~90000 times larger than that of a white dwarf. Take the radius of the red giant to be 6 × 1010 m.
What is the average radiated power per unit area of the red giant?_________W/m2
What is the average radiated power per unit area of the white-dwarf?________W/m2
What is the total power radiated by the red giant? _________W
What is the total power radiated by the white dwarf? ________W
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Barnard’s star is an orange star in the constellation Ophiuchus. It has the largest known proper motion (10.3577"/yr) and the fourth-largest parallax angle (0.54901"). In the spectrum of this star, the H alpha line is observed to have a wavelength of 656.034 nm when measured from the ground.
a. Determine the radial velocity of Barnard’s star.
b. Determine the transverse velocity of Barnard’s star.
c. Calculate the speed of Barnard’s star through space.
A blue supergiant star has a radius of 7.4 x 1010 m. The spherical surface behaves like a blackbody radiator. If the blue supergiant star radiates an
energy rate of 1.29 × 1033 w, what would be its surface temperature (in °C)? The Stefan-Boltzmann constant is 5.67 × 10-8 w/(m2 . K4).
Chapter 16 Solutions
UNIVERSE (LOOSELEAF):STARS+GALAXIES
Ch. 16 - Prob. 1QCh. 16 - Prob. 2QCh. 16 - Prob. 3QCh. 16 - Prob. 4QCh. 16 - Prob. 5QCh. 16 - Prob. 6QCh. 16 - Prob. 7QCh. 16 - Prob. 8QCh. 16 - Prob. 9QCh. 16 - Prob. 10Q
Ch. 16 - Prob. 11QCh. 16 - Prob. 12QCh. 16 - Prob. 13QCh. 16 - Prob. 14QCh. 16 - Prob. 15QCh. 16 - Prob. 16QCh. 16 - Prob. 17QCh. 16 - Prob. 18QCh. 16 - Prob. 19QCh. 16 - Prob. 20QCh. 16 - Prob. 21QCh. 16 - Prob. 22QCh. 16 - Prob. 23QCh. 16 - Prob. 24QCh. 16 - Prob. 25QCh. 16 - Prob. 26QCh. 16 - Prob. 27QCh. 16 - Prob. 28QCh. 16 - Prob. 29QCh. 16 - Prob. 30QCh. 16 - Prob. 31QCh. 16 - Prob. 32QCh. 16 - Prob. 33QCh. 16 - Prob. 34QCh. 16 - Prob. 35QCh. 16 - Prob. 36QCh. 16 - Prob. 37QCh. 16 - Prob. 38QCh. 16 - Prob. 39QCh. 16 - Prob. 40QCh. 16 - Prob. 41QCh. 16 - Prob. 42QCh. 16 - Prob. 43QCh. 16 - Prob. 44QCh. 16 - Prob. 45QCh. 16 - Prob. 46QCh. 16 - Prob. 47QCh. 16 - Prob. 48QCh. 16 - Prob. 49QCh. 16 - Prob. 50QCh. 16 - Prob. 51QCh. 16 - Prob. 52QCh. 16 - Prob. 53QCh. 16 - Prob. 54QCh. 16 - Prob. 55QCh. 16 - Prob. 56QCh. 16 - Prob. 57QCh. 16 - Prob. 58QCh. 16 - Prob. 59QCh. 16 - Prob. 60Q
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- Imagine 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_forwardMany of the bright stars in the night sky are highly luminous normal blue stars (such as Acrux), and others are blue giants (such as Rigel) or red giants (such as Betelgeuse). Generally, such stars have a luminosity of 103 to 105 times that of our Sun! Ignoring any effects from our atmosphere, how bright would a star with a luminosity of 8380 solar luminosities be if it were located 620 light years from Earth? (You will need to convert some values.) W/m² For comparison, if you were 1 meter from a regular 100 W light bulb, the brightness would be 7.96 W/ m². (Since stars are not this bright, your answer should be considerably less!) Kind of amazing you can see these things, isn't it?arrow_forwardB2. A spherical star is detected by an astronaut in a spacecraft at a distance z of 1.5×10¹2 kilometers. The star can be regarded as a blackbody with a temperature of 11,300 K. The radius r of the star is 3.5×106 kilometers. (a) Calculate the radiant exitance and the radiant intensity of the star. (b) Calculate the irradiance that can be detected by the astronaut. (c) The photodetector used by the astronaut in the spacecraft has a responsivity of 120 kV/W and an photosensitive area of 0.5 mm². Calculate the output voltage of the detector in the detection of the star. CAMINS +II+ Figure B2arrow_forward
- The temperature of a star is 4990 K. Calculate the power per unit area radiated by the star in 519 nm to 525 nm range. (a) 0.230 MW/m (b) 0.384 MW/m (c) 0.390 MW/m2 (d) 0.220 MW/m2arrow_forwardAstronomers use two basis properties of stars to classify them. These two properties are luminosity and surface temperature. Luminosity usually refers to the brightness of the star relative to the brightness of our sun. Astronomers will often use a star’s color to measure its temperature. Stars with low temperatures produce a reddish light while stars with high temperatures shine with a brilliant blue—white light. Surface temperatures of stars range from 3000o C to 50,000o C. When these surface temperatures are plotted against luminosity, the stars fall into groups. Using the data similar to what you will plot in this activity, Danish astronomer Ejnar Hertzsprung and United States astronomer Henry Norris Russell independently arrived at similar results in what is now commonly referred to as the HR Diagram. Procedures:1. Read the Background Information 2. On the graph paper provided. Place a number next to the star according to its luminosity and surface temperature listed in the data…arrow_forwardWhat is the rate of thermal radiation Emitted from a star with a radius of 2.310 x 10⁹m and a surface temperature of 8,420k? Assume that the spherical surface behaves as blackbody radiator .arrow_forward
- The temperature of the sun is approximately 5800 K and the temperature of the star Sirius A, the larger star of the Sirius via art, is approximately 10,000 K. The luminosity of Sirius A is about 33 times than Sun. The radiation law gives L=4(3.14) R^2 a T^4 By taking the ratio of the luminosities of Sirius A to the Sun, the relative values of luminosity and temperature can be used to determine the relative value of radius. What is the multiples of the Sun’s radius?arrow_forwardMany of the bright stars in the night sky are highly luminous normal blue stars (such as Acrux), and others are blue giants (such as Rigel) or red giants (such as Betelgeuse). Generally, such stars have a luminosity of 103 to 105 times that of our Sun! Ignoring any effects from our atmosphere, how bright would a star with a luminosity of 60900 solar luminosities be if it were located 532 light years from Earth? (You will need to convert some values.) W/m² For comparison, if you were 1 meter from a regular 100 W light bulb, the brightness would be 7.96 W/m². (Since stars are not this bright, your answer should be considerably less!) Kind of amazing you can see these things, isn't it?arrow_forwardThe wavelength of the peak of the blackbody distribution was found to follow Wein’s Displacement Law. Calculate the peak wavelength of a bluish-white star that radiates at temperature 20000 K. a) 145 nm b) 100 nm c) 114 nm d) 155 nmarrow_forward
- When stars like the Sun die, they lose their outer layers and expose their very hot cores. These exposed cores are called white dwarf stars. A certain white dwarf star has a peak emission wavelength of 0.546 nm. Approximating the star as a blackbody, what is its surface temperature? Wien's Displacement constant is b = 2.898 x 10-3 K m. The Stefan-Boltzmann constant is ? = 5.670 x 10-8 W/m2K4.arrow_forwardThe Hα spectral line has a rest wavelength of 6562.8 ˚A (remember: 1 ˚A = 10−10 m). In star A, the lineis seen at 6568.4 ˚A, in star B it’s seen at 6560.3 ˚A, and in star C it’s seen at 6562.8 ˚A. Which star ismoving the fastest (along the line of sight) and what is the radial velocity of each star?arrow_forwardYou have taken the spectrum of a star with a peak wavelength at 389 nm. You have determined the radius of the star to be 3.3 solar radii. What is the star’s luminosity, in solar units?arrow_forward
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