If a 1.40 Msun neutron star has a radius of 10 km, what is the density (in kg/cm³) of a 1.52 Msun neutron star?
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- 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 radiiAssume a neutron star has a mass of about 1.2 times the mass of the Sun and a radius of 7 kilometers. a) Calculate the average density of a neutron star, in kilograms per cubic centimeter.A supernova remnant is now 3.05 pc in radius and is expanding at 1,100 km/s. Approximately how many years ago did the supernova occur? (Note: 1pc=3.1 × 10^13 km and 1yr=3.2 × 10^7 s.)
- In a star of 1 solar mass (M☉), the core hydrogen burning phase, also known as the main sequence phase, lasts for approximately 10 billion years. Suppose there's a star of 15 solar masses (M☉). Stars of higher mass burn through their hydrogen at a faster rate, following an approximate relation that the lifetime of a star on the main sequence (T) is proportional to its mass (M) raised to the power of -2.5 (T ∝ M^-2.5). Calculate approximately how long this 15 solar mass star would remain in the main sequence phase, compared to the 1 solar mass star.International Astronomical Union reported on 24 Feb 1987: An object was discovered on Feb. 24.37 UT (position R.A. = 5h35m.8, Decl. = -69 18'), obtained m = 4.8 on Feb. 24.454 UT. This object proved to be the most famous supernova (SN) in the 20th Century and the brightest visible from Earth since 1604. It is classified as a SN of the type Il in the Large Magellanic Cloud (SN1987A). Its brightness peaked in May 1987, with an apparent magnitude of m = 2.8. a) Find the absolute magnitude M of the SN1987A at maximum. Distance of the LMC is 51,400 pc. b) The progenitor (before SN explosion) star was a blue supergiant of the apparent magnitude m = 12.8. How much brighter (in terms of flux density) this SN was at maximum compared to the progenitor star. Find the ratio FSN / EbeforeThe 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
- This star has a mass of 3.3 MSun. What is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr.If Betelgeuse is a M2 type star, what is the approximate temperature of the star in K?If a 1.40 MSun neutron star has a radius of 10.0 km, what is the radius (in km) of a 2.15 MSun neutron star? (Use the mass-radius relationship R ∝ M−1/3) What is the escape velocity (in km/s) from the surface of a 1.5 M neutron star? From a 3.0 M neutron star? (Hint: Use the formula for escape velocity, Ve = 2GM r ; 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.) 1.5 M neutron star km/s3.0 M neutron star km/s
- For a 1 solar mass white dwarf with a radius of 6000km, calculate the momentum and kinetic energy (in units of electronvolts) of an electron in the highest occupied electron state. Assume the star consists only of carbon and has a uniform density. Calculate the momentum and kinetic energy of a neutron in the highest occupied neutron state for a 2 solar mass neutron star with a radius of 10km. Assume that the star has a uniform density and consists only of neutrons. 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]= 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.