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.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?Please answer within 90 minutes.
- 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.A photon of 640 nm is released from the surface of a neutron star of radius 10 km and a mass of 6 x 1030 kg. What will be the redshifted frequency detected far away from the neutron star due to its gravity?Calculate the deflection of light caused by the gravity of a star of mass 5Msun and radius 1.3RSun.