The diameter of the bubble in arc seconds.

Question

Suppose two protostars form at the same time, one with a mass of 0.5MSunSun [Select ALL answers that are true in alphabetical order]A) The 10MSun protostar will have a smaller change in surface temperature during this phase than the 0.5MSun protostar.B) The 10MSun protostar will reach the main sequence cooler and fainter than the 0.5MSun protostar.C) The 10MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage.D) The 10MSun protostar will have a smaller change in luminosity during the sequence shown than the 0.5MSun protostar.E) The 10MSun protostar will be much more luminous than the 0.5MSun protostar.

Answer 1

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Chapter 9, Problem 5P

To determine

The diameter of the bubble in arc seconds.

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Suppose two protostars form at the same time, one with a mass of 0.5MSunSun [Select ALL answers that are true in alphabetical order]A) The 10MSun protostar will have a smaller change in surface temperature during this phase than the 0.5MSun protostar.B) The 10MSun protostar will reach the main sequence cooler and fainter than the 0.5MSun protostar.C) The 10MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage.D) The 10MSun protostar will have a smaller change in luminosity during the sequence shown than the 0.5MSun protostar.E) The 10MSun protostar will be much more luminous than the 0.5MSun protostar.

For each problem, use the following values: c = 3x108 m/s mass of the sun = 1.989 x 1030 kg luminosity of the sun = 3.828 x 1026 W 1 AU = 1.496 x 1011 m 1 pc = 3.262 light years = 3.086 x 1016 m 1 year=3.154x107 seconds Critical density of our Universe (expressed as a mass density): Pcrit =8.7 x 10-27 kg m-³ Critical energy density of our Universe: Ecrit = Pcrit c² G=6.674 × 10-11 m³.kg-1.s-2 1 eV = 1.60218 x10-19. Boltzmann constant: kg = 1.381 x 10-23 JK-18.617 × 10-5eV K-1 energy density constant (in Stefan Boltzmann Law): a = 7.566 x 10-16 Jm-3 K-4 -4.7 x 10-³ MeV m-3 K-4 Constant in Wein displacement law: b = 2.898 x 10-3 m K baryon-to-photon ratio, n = 6 x 10-10

White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 106 g/cm?. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass/volume, and the volume of a 4 sphere is Tr.) 3 km Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size? I Table A-10 I Properties of the Planets ORBITAL PROPERTIES Semimajor Axis (a) Orbital Period (P) Average Orbital Velocity (km/s) Orbital Inclination Planet (AU) (106 km) (v) (days) Eccentricity to Ecliptic Mercury 0.387 57.9 0.241 88.0 47.9 0.206 7.0° Venus 0.723 108 0.615 224.7 35.0 0.007 3.4° Earth 1.00 150 1.00 365.3 29.8 0.017 Mars 1.52 228 1.88 687.0 24.1 0.093 1.8° Jupiter 5.20 779 11.9 4332 13.1 0.049 1.30 Saturn 9.58 1433 29.5 10,759 9.7 0.056 2.5° 30,799 60,190 Uranus 19.23 2877 84.3 6.8 0.044 0.8° Neptune * By definition. 30.10 4503 164.8 5.4 0.011 1.8° PHYSICAL PROPERTIES (Earth = e)…