Calculate the gravitational redshift of radiation of wavelength 550 nm that is emitted from a neutron star having a mass of 5.8 x 1030 kg and a radius of 10 km. Assume that the radiation is being detected far from the neutron star.
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- Calculate the gravitational redshift of radiation of wavelength 550 nm (the middle of the visible range) that is emitted from a neutron star having a mass of 5.8 × 10³⁰ kg and a radius of 10 km. Assume that the radiation is being detected far from the neutron star.In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun that occupy less space than our moon. Suppose that one of these black holes has a mass of 1x10^3 suns and a radius equal to one-half the radius of our moon. What is the density of the black hole in g/cm^3? The radius of our sun is 7.0x10^5 km, and it has an average density of 1.4x10^3 kg/m^3. The diameter of the moon is 2.16x10^3 miles.A gamma ray burst delivers approximately 5.0 X10-6 joules/m2 to a detector on an orbiting space telescope. Assuming that the red shift indicates that the source is 5 X109 light years away (1 yr =3.16X107 seconds) and that the energy at the detector has been corrected for the redshift, what is the energy output of the source in units of 1047 joules and how does it compare to the rest energy of the Sun. The speed of light is 3.0 X 108 m/sec. A year is 3.16 X 107 sec. The mass of the Sun is 2 X 1030 kg. Rest mass energy is E=mc2. The surface area of a sphere is 4ππr2. Group of answer choices 1.9 and 8% 1.41 and 78% 80 and 100% 0.12 and 0.7%
- What is the total kinetic energy of the decay products when an upsilon particle at rest decays to t+ + t- ?Stephen Hawking’s derivation of the black hole temperature used the fact that the black hole’s entropy is given by S = 8π2GM2k/hc. Complete the derivation using the thermodynamic defi nition of temperature 1/T = δS/δU. Assume that the black hole’s energy is entirely mass-energy, that is, U = Mc2.What happens on the surface of a neutron star to produce bursts of X rays?
- The Lyman alpha line (Kα) of hydrogen is measured in the laboratory to have a wavelength of 121.6 nm. In the quasar PKS 2000-330 the same line is determined to have a wavelength of 580.0 nm. What is its redshift and recession velocity?What is the speed required to escape 3AU from the sun?Please answer within 90 minutes.
- The mass of a theoretical particle that may be associated with the unification of the electroweak and strong forces is 1014 GeV/c2. How many proton masses is this?The life average of stable muon is 2.2*10^-6 s , while the life average of moving muon in Cosmic ray is 1.5*10^-5 s. Calculate the velocity of the cosmic ray muon.Controllers want to communicate with a satellite in orbit 480 km above Earth. If they use a signal of fre- quency 100 MHz, what is the gravitational redshift?