The area of the event Horizon of a black hole is 4rR. Use the Schwarzschild metric to verify this. (Please answer in detail or skip)
Q: Calculate the gravitational redshift of radiation of wavelength 550 nm (the middle of the visible…
A: The gravitational redshift is given by the formula, z=11-2GMc2r-1 where, G is the gravitational…
Q: The circular particle accelerator at CERN has a radius of about 4.24 km. The accelerator uses strong…
A: Given that, the radius of the accelerator is r=4.24km=4.24×103m magnetic field is B=8.34T Since…
Q: The rest-frame (natural) Wavelength of the H-a line of hydrogen is 656.3 nm. In the spectrum of…
A:
Q: Consider the energy-momentum tensor Tμv = (p+p) uu+P9μ applied to the matter/energy distribution in…
A: The objective of the question is to determine the type of matter/energy dominating the universe…
Q: why is G considered to be the same throughout the universe?
A:
Q: Calculate the deflection of light caused by the gravity of a star of mass 2.1M sun and radius…
A: A large gravitational source is capeable of bending the space around it. This will cause the light…
Q: If a GUT is proven, and the four forces are unified, it will still be correct to say that the orbit…
A: There are four different fundamental forces in nature. Gravitational force Weak nuclear force…
Q: Calculate the Schwarzschild radius of an average human weighing 65 kg.
A: When an object crosses its Schwarzschild radius it causes an irreversible gravitational collapse.…
Q: 2. (a) Calculate Schwarzschild radius of a blackhole with mass 10 kg. (Sipgints) (b) Calculate its…
A: The Schwarzschild radius or gravitational radius is the radius that defines the event horizon of a…
Q: Some of the familiar hydrogen lines appear in the spectrum of quasar 3C9, but they are shifted so…
A:
Q: The average lifetime of mu-meson is 2.19698-106 s. These subatomic particles are produced high in…
A:
Q: A galaxy is receding from earth at a velocity of 0.08 c, 8% of the speed of light. What wavelength…
A: According to the Doppler effect, ∆λλ=vc=0.08cc=0.08…
Q: The Large Magellanic Cloud is a small satellite galaxy that orbits the Milky Way. It is currently…
A:
Q: (d) Scientists believe the reasons for the difference to be dark matter: Determine the rotational…
A: line indications: Vobserved - Blue Vcalculated - Red VDM - Green
Q: State the value of the Ricci tensor R on the event horizon of a Schwarzschild black hole, and…
A: Required: The value of the Ricci tensor on the event horizon of a Schwarzschild black hole.
Q: 1. (a) Calculate Schwarzschild radius of a blackhole with mass same as our Sun. (S points) (b)…
A: The Schwarzschild radius or gravitational radius is the minimum radius below which an object becomes…
Q: Let's say a spaceship is approaching Sagittarius A*. How close to this black hole must the spaceship…
A: The formula for gravitational time dilation is given by t=t01-2GMrc2 here, t=time in the…
Q: Give the direction of the Lorentz force for the following charges moving through a magnetic field.…
A: Lorentz force is the force experienced by a moving charged particle when it is introduced into a…
Q: When a star erupts in a supernova explosion, huge numbers of electron neutrinos are formed in…
A:
Q: Near the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a…
A: Introduction:Doppler's effect: It comes into effect when a wave is moving with respect to…
Q: A galaxy is observed to be at 10.0 Mpc from Earth. If it is receding at 520 km/s, calculate the…
A: Edwin Hubble in his observations found that the galaxies were moving away from us instead of getting…
Q: Astronomers have observed a small, massive object at the center of our Milky Way galaxy. A ring of…
A:
Q: Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction…
A: It is assumed that a collider will be used in which protons having a rest mass of m0=938.3 MeV/c2…
Q: Estimate the age of the universe (in Gyrs) at the time when radiation was emitted from an object…
A:
Q: Ist-order binomial approximation: (1+x)"≈1+nx. The second-order approximation keeps the second-order…
A:
Step by step
Solved in 2 steps
- Assuming that hydrogen fusion requires the Universe to have a temperature of T > 10' K (as measured by the CMB), determine the redshift at which the fusion of hydrogen into helium was just possible as the Universe expanded and cooled. Choose the option below that most closely matches your answer. Select one: Оа. 4000.87 b. 3669723.77 О с 2229723.71 O d. 9748293.14 O e. 4669723.16The hypervelocity star S5HVS1 has a redshifted Hβ line (rest wavelength of486.135 nm) observed at 487.784 nm. How fast is it traveling radially awayfrom the Earth?The expanding universe is carrying distant objects away from each other at a rate proportional to their separations. We use the Doppler effect observed in spectra of distant galaxies and quasars to calculate recession speeds. For the most distant objects recession speeds approach c, and therefore, the relativistic Doppler shift expression must be used. We define the redshift, z, as the fractional change in wavelength. a) The most distant quasar currently known is ULAS J1120+0641, discovered with the UK Infrared Telescope on Mauna Kea. It has a redshift of 7.1. Calculate its radial velocity in terms of v/c. b) Determine the distance to this quasar. c) At what wavelength would the Ha line (656.28 nm) be observed for this quasar?
- Explain how a synchrotron accelerates particles. What is the main energy loss mechanism in these devices? How much more power is needed to maintain a beam of 500 GeV electrons in a synchrotron of radius 1 km than to maintain a beam of protons of the same energy? Is this feasible? [University of Aberyswyth 2003]You discover by dropping particles into it that the Event Horizon (Schwartzschild Radius) of a black hole is 171 km. How massive is it? (enter just the number in solar masses)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.
- Please don't prvide handwritten solution...I'm stumped on this question: A clump of matter does not need to be extraordinarily dense in order to have an escape velocity greater than the speed of light, as long as its mass is large enough. You can use the formula for the Schwarzschild radius RS to calculate the volume, 4/3 πRS^3, inside the event horizon of a black hole of mass M. What does the mass of a black hole need to be in order for its mass divided by its volume to be equal to the density of water (1g/cm^3)? I'm not sure where to begin in findng the answer. It feels as if I'm missing information.A 5 micron droplet of water is being carried in standard air toward a 500 micron drop of water at a relative velocity of 40 m/s. Will the two drops collide? How did you come to this conclusion?
- Of 1.5, 3, 5, and 10 give the maximum apparent speeds. 2. Consider a relativistic jet with an angle of 70 degrees relative to the line of sight (i.e. it is almost, but not quite perpendicular to the line of sight). Let its value of gamma for the motion be 3. (a) Will it appear superluminal? (b) Will it appear to be brighter or fainter than it would in its own rest frame? 3. State whether the following reactions are possible under special relativity. If not, explainI understand that to an outside observer, the light from a star that is collapsing into a black hole will become more and more red-shifted as the surface of the star appears to approach the black hole event horizon. The outside observer will never actually see the surface of the star cross the black hole event horizon. This applies to all outside observers: at infinity, in orbit around the star/black hole or those using a rocket to hover above the black hole. Conversely, I know that for someone on the surface of the star that is collapsing to form a black hole it will appear quite different. The observer on the surface will not see anything unusual happen as they cross the event horizon and in a finite time they will reach the singularity at the center of the black hole where we do not know what will happen since general relativity breaks down in a singularity. So, now consider an observer that starts at a great distance from the star who is continually falling directly into the star…As a mass m of gas falls into a black hole, at most 0.1mc2 is likely to emerge as radiation; the rest is swallowed by the black hole. Show the Eddington luminosity for a black hole of mass M is equivalent to 2*10-9 Mc2yr-1. Explain why we expect the black hole's mass to grow by at least a factor of e every 5*107 years. Where Edding Luminicity is defined as LE=(4piGMmpc)/(sigmaT), where G is the gravitational constant, M is the mass of the black hole, mp is the mass of a proton, c is the speed of light, and sigmaT is Thomson scattering where sigmaT=6.653*10-25 cm2.