![Foundations of Astronomy (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337399920/9781337399920_largeCoverImage.gif)
Concept explainers
The escape velocity at the surface of Neutron stars of masses
![Check Mark](/static/check-mark.png)
Answer to Problem 6P
The escape velocity at the surface of Neutron stars of masses
Explanation of Solution
Necessary data is obtained from problem 2. It is found that from problem 2, radius of Neutron star having mass
Write the equation to find the escape velocity.
Here,
Rewrite equation by substituting
Here,
Rewrite equation by substituting
Conclusion:
Case 1:Escape velocity star with mass
Substitute
Case 1: Escape velocity star with mass
Substitute
Therefore, the escape velocity at the surface of Neutron stars of masses
Want to see more full solutions like this?
Chapter 14 Solutions
Foundations of Astronomy (MindTap Course List)
- A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star (Links to an external site.) with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=Iω; ω=2πf=2π/T; Isphere=2/5mr^2.arrow_forward Q/ b) Vega Star of radius (1.6832) million km emit a) thermal radiation as a black body radiation at temperature of (18500 K). Calculate the Luminosity of this star. [o is Stefan-Boltzmann constant = 5.67 *x 10-5 erg cm-2 K-4 s-1]arrow_forwardWhat is the escape velocity (in km/s) from the surface of a 1.1 M neutron star? From a 3.0 M neutron star?arrow_forward
- 2GM What is the escape velocity (in km/s) from the surface of a 1.6 Mo neutron star? From a 3.0 M. neutron star? (Hint: Use the formula for escape velocity, V. ; make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 x 1030 kg.) 1.6 Mo neutron star km/s 3.0 Me neutron star km/sarrow_forwardwhat is the answer for sub-item (b) if the radius of the neutron star is 6.676 km? (express your answer in the proper SI unit and without scientific notation) (b)What is the average density of a neuron star that has the same mass as the sun but a radius of only 20.0 km?arrow_forwardwhat is the answer for sub-item (b) if the radius of the neutron star is 90.651 km? (express your answer in the proper SI unit and without scientific notation)arrow_forward
- A 1.8 M neutron and a 0.7 M white dwarf have been found orbiting each other with a period of 28 minutes. What is their average separation? Convert your answer to units of the Suns radius, which is 0.0047 AU. (hint: Use the version of Keller's third law for the binary stars Ma + Mb = a^3/p^2 ; make sure you express quantities in unites of AU, solar masses, and years. NOTE: a year is 3.2 x 10^7 s) ___________ solar radiiarrow_forwardWhat is the escape velocity (in km/s) from the surface of a 1.1 M. neutron star? From a 3.0 M. neutron star? (Hint: Use the formula for escape velocity, V̟ = V 2GM ; make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 x 1030 kg.) 1.1 M neutron star km/s 3.0 M. neutron star km/s If a neutron star has a radius of 12 km and a temperature of 8.0 x 10° K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is 3.83 x 1026 w.) luminosity in watts luminosity in solar luminosity unitsarrow_forward(a) Estimate the Eddington luminosity of a 0.072 M, star and compare your answer to the main-sequence luminosity given in Problem 21. Assume k = 0.001 m² kg¯'. Is radia- tion pressure likely to be significant in the stability of a low-mass main-sequence star? (b) If a 120 Mo star forms with log1o T. = 4.727 and log1o(L/Lo) = 6.252, estimate its Eddington luminosity. Compare your answer with the actual luminosity of the star.arrow_forward
- As we have discussed, Sirius B in the Sirius binary system is a white dwarf with MB ∼ 1M , LB ∼ 0.024L ,and rB ∼ 0.0084r . For such a white dwarf, the temperature at the center is estimated to be ∼ 107 K.If Sirius B’s luminosity were due to hydrogen fusion, what is the upper limit of the mass fraction of thehydrogen in such a white dwarf?Step 1: Calculate the observed energy production rate per unit mass (remember luminosity is energy outputper unit time).Step 2: Use the per unit mass energy generation rate of hydrogen fusion (via PP chain) to estimate thepossible hydrogen mass fraction given the condition at the center of the white dwarf.arrow_forwardWhat is the escape velocity (in km/s) from the surface of a 1.1 M. neutron star? From a 3.0 M, neutron star? (Hint: Use the formula for escape velocity, V̟ = 2GM -; make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 × 1030 kg.) 1.1 M neutron star km/s 3.0 M. neutron star km/s If a neutron star has a radius of 12 km and a temperature of 8.0 x 10° K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation . Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is 3.83 x 1026 W.) luminosity in watts luminosity in solar luminosity units Loarrow_forward2GM What is the escape velocity (in km/s) from the surface of a 1.1 Mo neutron star? From a 3.0 M, neutron star? (Hint: Use the formula for escape velocity, V. = make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 x 1030 kg.) 1.1 Me neutron star km/s 3.0 M. neutron star km/sarrow_forward
- Foundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage LearningStars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337399920/9781337399920_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337399944/9781337399944_smallCoverImage.gif)