Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 10, Problem 11QAP
To determine
The features of most stars in universe.
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A red giant star might have radius = 104 times the solar radius,
and luminosity = 1730 times solar luminosity.
Use the data given below to calculate the temperature
at the surface of the red giant star.
Data:
solar radius R = 7 x 108 meters
solar luminosity L = 4 x 1026 watts
Stefan-Boltzmann constant
a = 5.67 x 10-8 W m² K-4
(in K)
A: 1226 OB: 1434 OC: 1678 OD: 1963 OE: 2297 OF: 2688 OG: 3145 OH: 3679
Using solar units, we find that a star has 4 times the luminosity of the Sun, a mass 1.25 times the mass of the Sun, and a surface temperature of 4090 K (take the Sun's surface temperature to be 5784 K for the sake of this problem). This means the star has a radius of.................... solar radii and is a .................... star (use the classification).
The flux received at the Earth from Supernova 1885 was 3.0182 x 10 10 W/m². The luminosity of
the supernova is 6 x 10° Lo (or 6 x 10° solar luminosities).
What is the distance to the supernova in parsecs? Take 1 pc = 3.0857 x 1016 m and Lo= 3.828 x
1026 w.
d =
pc
Chapter 10 Solutions
Understanding Our Universe
Ch. 10.1 - Prob. 10.1CYUCh. 10.2 - Prob. 10.2CYUCh. 10.3 - Prob. 10.3CYUCh. 10.4 - Prob. 10.4CYUCh. 10 - Prob. 1QAPCh. 10 - Prob. 2QAPCh. 10 - Prob. 3QAPCh. 10 - Prob. 4QAPCh. 10 - Prob. 5QAPCh. 10 - Prob. 6QAP
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- You have discovered two star clusters. The first cluster contains mainly main-sequence stars, along with some red giant stars and a few white dwarfs. The second cluster also contains mainly main-sequence stars, along with some red giant stars, and a few neutron stars-but no white dwarf stars. What are the relative ages of the clusters? How did you determine your answer?arrow_forwardThe mass-luminosity relation describes the mathematical relationship between luminosity and mass for main sequence stars. It describes how a star with a mass of 4 M⊙ would have a luminosity of ______ L⊙. If a star has a radius 1/2 that of the Sun and a temperature 4 that of the Sun, how many times higher is the star's luminosity than that of the Sun? (If it is smaller by a factor of 8, you would write 0.125 because 1/8=0.125) If a star has a radius 2 times larger than the Sun's and a luminosity 1/4th that of the Sun, how many times higher is the star's temperature than that of the Sun? (If it is smaller by a factor of 8, you would write 0.125 because 1/8=0.125) If a star has a surface temperature 2 times lower than the Sun's and a luminosity the same as the Sun, how many times larger is the star than the Sun? (If it is smaller by a factor of 8, you would write 0.125 because 1/8=0.125)arrow_forward= A star population is composed of stars with masses in the range between 1M and 150M. The initial mass function is = 0 (M/M)-2.3, where o (Mo). The luminosity of a star = (M/M) 3.3. Calculate the percentage of the total luminosity of the stars in the population which is produced by stars with mass between 120M and 150M. scales with its mass as L/Larrow_forward
- A star with a radius 1.5 times that of the Sun has a surface temperature T=9,000 K. Calculate the luminosity of this star and express your answer in units of the Solar luminosity (the Solar luminosity = 3.84 x 1026 W and the Solar radius = 7 x 108 m)arrow_forwardAn M dwarf star of mass 0.1 solar masses, a radius of 0.13 solar radii and a photospheric temperature of 2708 Kelvin. Assuming the dwarf contains the same mixture of elements as the Sun, and that the thermal pressure of the Sun's core is 1.3 x 10^14 N/m^2 estimate the ratio between the thermal pressure in the M dwarf's core versus that of the Sun. select unitsarrow_forwardQUESTION 16 Use the figure shown below to complete the following statement: A low-mass protostar (0.5 to 8M the mass compared to our sun) remains roughly constant in decreases in until it makes a turn towards the main sequence, as it follows its evolutionary track. Protostars of different masses follow diferent paths on their way to the main sequence. 107 Luminosity (L) 10 105 10 107 10² 101 1 10-1 10-2 10-3 Spectral type 0.01 R 0.001 Re 60 M MAIN SEQUENCE 40,000 30,000 20 Mau 10 Mgun 5 Mun 0.1 Run Ren radius; temperature luminosity; radius 3 Min. 05 BO temperature; luminosity Oluminosity: temperature radius: luminosity 1 M 10,000 6000 Surlace temperature (K) 1,000 Rs 2 M STAR L 0.8 M B5 AO FOGO КБ МБ -10 +10 3000 Absolute visual magnitude andarrow_forward
- Protostar A. among the most massive and brightest stars Main Sequence B. a star after it has used all of its nuclear fuel Giant C. a gravitational field so strong that not even light can escape upergiant D. star in the longest stage of life (90% of stars) Neutron Star E. a super bright explosion of a star Black Hole F. created when a star loses its outer layers of gases White Dwarf G. extremely dense remnants of a dead star Black Dwarf H. young star in the early stages of formation jupernova 1. star that no longer gives off heat or light Planetary Nebula J. star that is larger and brighter than a main sequence star : A : E : Farrow_forwardHigh AO 80 Co OD OE FO Low High Temperature Low For stars C and D, what is the main difference between them? O Their brightness, C is brighter than D. Their temperature, C is hotter than D. O Their brightness, D is brighter than C. O Their temperature, D is hotter than C. Brightnessarrow_forward7 The luminosity class of a star tells an astronomer: O how long ago the star formed O whether the star is a supergiant, a giant, or a main-sequence star O none of these answers O whether the star is close to us or far away O whether or not the star is surrounded by planets #m 3 с $ 4 % 5 6 & O 7 Carrow_forward
- A star population is composed of stars with masses in the range between 1M and 150M. The initial mass function is = (M/M)-2.3, where = (Mo). The luminosity of a star scales with its mass as L/L = (M/M) 3.3. Calculate the percentage of the total luminosity of the stars in the population which is produced by stars with mass between 120M and 150M.arrow_forwardPut the steps of the life cycle of a star in order. 1 [ Choose ] [ Choose ] Lighter elements are depleted and the star becomes a red giant As hydrogen is depleted, the star fuses helium atoms 3 Helium is exhausted; larger stars collapse to a white dwarf, while smaller stars become red supergiants Red supergiant makes heavier elements up to copper Star is formed from gas cloud (nebula) 4 Star converts hydrogen to helium in fusion reaction Red supergiant makes heavier elements up to iron 5 Helium is exhausted; smaller stars collapse to a white dwarf, while larger stars become red supergiants Fusion stops, and the core collapses violently, causing a supernova (star death) [ Choose ] 7. [ Choose ] 2. 6arrow_forward21. Giant or Nebula Supergiant Stars Small or Medium- sized Star 22. Red Giant Star 23. 24. White Dwarf Neutron Star : Protostar : Supernova : Black hole : Planetary nebulaarrow_forward
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