Calculate the deflection of light caused by the gravity of a star of mass 5Msun and radius 1.3RSun.

Calculate the deflection of light caused by the gravity of a star of mass 8Msun and radius 4Rsun.

The question is show that E=(1/2)mgl(theta)^2 . Pls help with this one.

Which of the following statements best describes the behaviour of an object falling towards the Event Horizon of a Black Hole (according to an observer a long way from it)? As gravity increases the falling object will not suffer any change in appearence or the progression of time. As gravity increases the object's light will be compressed, leading to it looking bluer, with time appearing to passing more slowly for it. The falling object will appear to experience an increase in the rate of time, and it's colour will appear evermore red. As the falling object experiences ever stronger gravity, it will become redder and time will appear to pass more slowly for it.

Can someone redo this problem or explain to me how tan theta = 1/.5?

The area of the event Horizon of a black hole is 4tRg². Use the Schwarzschild metric to verify this. (Please answer in detail or skip)

(a) Let L be the diameter of our galaxy.Suppose that a person in a spaceship of massm wants to travel across the galaxy at constantspeed, taking proper time τ. Find the kineticenergy of the spaceship. (b) Your friend is impa-tient, and wants to make the voyage in an hour.For L = 105 light years, estimate the energy inunits of megatons of TNT (1 megaton=4×109 J).

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.

The most distant quasar is "J0313-1806". Its redshift is z = 7.64. [ z = (femitted - fobserved)/ fobserved] Assume that the redshift is due to relative motion. Then how fast is the quasar moving away from Earth? (speed as the fraction of c = ) | .704 According to Hubble's Law, the distance (r) depends on the speed of recession (v) according to v = Hor where Ho~ 20km/s Mly How many years are required for light to travel from the quasar to Earth? (years = )

A spacecraft is in a 300 km circular parking orbit. It is desired to increase the altitude to 600 km and change the inclination by 20°. Find the total ΔV required if: Part A The plane change is made after insertion into the 600 km orbit (so there is a total of three ΔV burns).