For a white dwarf with 1 Mʘ and a radius of 5 x 103 km, find the wavelength to which the Hα line will be shifted by the time it is seen by a distant observer.
The radius of a white dwarf, in kilometers, can be approximated
by the expression
where the mass is in solar masses and the radius is in km. A
spectral line from a white dwarf spectrum observed at a wavelength
of 540.002545207479 nm is recognized to be a line with true
wavelength 540 nm. What is the mass of the white dwarf that is
being observed?
The mass of the white dwarf is:
radius -(-8(mass)13.8) 105
radius -(-8(mass)13.8) 105
If a neutron star and a white dwarf has a total mass of 1M. If the white dwarf has a radius of 9 x 106 m and the neutron star has a radius of 11 km. i) Compare the surface gravity of both stars. ii) What is the density of the neutron star? iii) Assuming the neutron star is entirely made up of neutrons, and that the interparticle separation of a gas of density n is l = n-1/3. How...
3 GM2 (5) The gravitational potential of a uniform-density sphere of mass M and radius R is E,-- Consider a white dwarf star which contains N electrons whose Fermi energy is Es. Since kaT <<Ef, the average electron energy is 3/5Er (derived in assignment 1) and the total electron energy is Ed-3/5NEs. The energies of the nuclei can be neglected. OE (a) Derive an expression for the gravitational pressure: P- OE (b) Derive an expression for the degeneracy pressure: Pa-...
14 1 point The Sun's mass is 2.0 x 100 kg. its radius is 7.0 x 10 km, and it has a rotational period of 30 days. If the Sun were to collapse into a white dwarf of radius 5080 km, what would the period of the white dwarf be? Give you answer in units of seconds and assume three sig figs. Further assume that no mass is lost in the process and that the Sun is a sphere with...
Given a white dwarf of with the following properties, find the following: Mass=.6Msun, Radius=Rearth 1) Estimate the number density of electrons in the core 2) Verify by a specific criterion whether they are degenerate, and 3) if so, calculate the degeneracy pressure due to the electrons. Otherwise, calculate the ideal gas pressure by making a reasonable assumption of the central temperature
A dwarf planet with mass M = 2.43 x 1016 kg and radius R = 2360 km is crashed into by a large comet. The dwarf planet initially has a day with length 12 hours. The comet hits the planet at its equator and at an angle of 0 = 80° with the radius of the planet, as shown in the view of the planet looking above from the North Pole. The speed of the comet is V comet =...
4.4 A star is receding from the earth at a speed of 5 x 103 c. What is the wavelength shift for the sodium D2 line (589 nm)?
9/ the 2011 Nobel Prize in Physics was awarded to 3 men who study white dwarf supernova explosions, which are known as Type la supernovae. The following problem is designed to give you a feel for what they did, and the sorts of apparent brightnesses and distances they were working with. A typical Type la supernova explosion has a luminosity of 1.72 x 10^36 W. If we observe such a supernova to have an apparent brightness of 1.25 x 10^-17...
The mass of a meteor with a radius of 1 km is about 9 x 1012 kg. The mass of a meteor also is proportional to the cube of its radius. Suppose a meteor with a radius of 8.8 km is moving at 1.8 x 104 m/s when it collides inelastically with the Earth. The Earth has a mass of 5.97 x 1024 kg and assume the Earth is stationary. The kinetic energy lost by the asteroid in this collision...
A25. Given ∆U/∆x = ∆V/∆x = (5 m s–1) / (500 km), find the divergence, vorticity, and total deformation for (∆U/∆y , ∆V/∆y) in units of (m s–1)/(500 km) as given below: a. (–5, –5) d. (0, 0) f. (5, 0) h. (–5, 5) i. (5, –5)