Calculate the deflection of light caused by the gravity of a star of mass 2.1M sun and radius 2.8Rşun.
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- A large gravitational source is capeable of bending the space around it. This will cause the light traveling in its gravitational field to deviate.
- The amount of deflection caused will be given by,
Here G is the universal gravitational constant, M is the mass of the source, R is its radius, and c is the speed of light.
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- a)Define the term “standard candle” as used in cosmology. b)The flux is defined asf(Dlum) = L/4πD^2lumwhere L is the absolute luminosity and Dlum is the distance to the radiation source (youmay assume z ≪ 1).Assume that we have measured the flux to be f = 7.234 10^−23 Wm^−2 and the absoluteluminosity is given by L = 3.828 x10^26W. Calculate the luminosity distance D lum to the objectin Mpc.Calculate the deflection of light caused by the gravity of a star of mass 8Msun and radius 4Rsun.If a binary star system has a 0.1M⊙ star and a 10.0M⊙ star with a measured periastron and apastron of 40 and 80 AUs, respectively, calculate the orbital period in years of the binary star system. Be sure to show all work!
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- True or false The escape speed from a black hole would be greater than the speed of light. If the impact time of a collision is increased, the force of impact will decrease. A size of a Kelvin degree (oK) is larger than a Celsius degree (oC).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.2. Determine the Schwarzschild radius and the average density of a black hole formed by the gravitational collapse of the Sun (m = 1.99 × 10 kg). 30 ad by the gravitational
- 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.Two distant galaxies are observed to have redshifts z1 = 0.05 and z2 = 0.15, and distances d1 = 220.60 Mpc and d2 = 661.75 Mpc, respectively. Assuming the motion of the galaxies is due to the Hubble flow, determine the value of the Hubble constant, H0. Show how the value of H0 can be used to estimate the age of the Universe, describing any assumptions that you make. Use the value of H0 you have obtained to estimate the age of the Universe, expressing your answer in Gyr.Compute the life expectancy of a 1.5M⊙ star.