1. A black hole with a mass of about a thousand solar masses is known as...
1. A black hole with a mass of about a thousand solar masses is known as a/an ____________ mass black hole.
2. The maximum luminosity a black hole can have before accretion ceases is known as the ____________ limit.
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1. A black hole with a mass of about a thousand solar masses is
known as...
1. A black hole with a larger mass will have a __________ thermal luminosity. 2. From...
1. A black hole with a larger mass will have a __________ thermal luminosity. 2. From the point of view of an outside observer, clocks appear ______________ in color as they approach the event horizon of a black hole.
1 + Z Now suppose that this Universe is filled homogenously with black holes of 100...
1 + Z Now suppose that this Universe is filled homogenously with black holes of 100 solar masses. Since we can see, in this Universe, out to a redshift of z-8, find an upper limit on the number density of these black holes, assuming that a black hole of one solar mass would have a radius of 3 km and that black hole radius scales linearly with mass. Using your upper limit on the number density of such intermediate mass...
Two identical black holes collide head-on. Each of them has a mass equivalent to 32 solar...
Two identical black holes collide head-on. Each of them has a mass equivalent to 32 solar masses. (The sun has a mass of about 2×10^30 kg.) As the black holes collide, they merge, forming a single, larger black hole and additional gravitational waves that carry momentum out of the system. Before the collision, one black hole is moving with a speed of 52 km/s, while the other one is moving at 66 km/s. After the collision the larger black hole...
It is said that at the center of every galaxy is a supermassive black hole (the...
It is said that at the center of every galaxy is a supermassive black hole (the picture below shows a picture towards the center of the Milky Way from the Keck Observatory). By observing the orbits of nearby stars, you can get a crude estimate of the mass of this black hole by assuming the stars have a circular orbit. Consider the star SO-2, which has an orbital period of 16.3 years. Its average distance from the black hole is...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the temperature of an accretion disk surrounding the black hole, and the wavelength of maximal radiation from the disk. Note that the calculation is super-simplified - if you take more advanced astronomy courses, you will do the same calculation more carefully. In this problem 'BH' means black hole. We will consider the BH of mass equal to twenty solar masses MBH = 20 MSun. (a)...
3. In this problem, we are going to examine the supermassive black hole in the center...
3. In this problem, we are going to examine the supermassive black hole in the center of our galaxy, Sagittarius A.. (a) (15 points) We can calculate its mass using the orbits of stars gravitationally bound to it in the same way that you can use the Earth's orbit to calculate the mass of the Sun). The orbit of a star, S2, has been fully mapped out. Its period is 15.24 yr and semi-major axis length is 980 AU. Using...
Calculate the Schwarzschild radius of a 109 solar mass black hole. How does your answer compare...
Calculate the Schwarzschild radius of a 109 solar mass black hole. How does your answer compare with the size of our solar system (given by the diameter of Pluto’s orbit)? 2.9 × 109 km = 20 A
Now we consider a black hole of the same mass as the Sun: Mbh 2x 1030 kg. (a) (2 marks) Show that if you are launching...
Now we consider a black hole of the same mass as the Sun: Mbh 2x 1030 kg. (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a pl M, you can only escape the planet's gravity if you start from a radius r > 2GM/ t of mass Hint: Use Newtonian mechanics. What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a planet of mass M, you can only escape the planet's gravity if you start from a radius r > 2GM/v2 Hint: Use Newtonian mechanics What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
3. I'm Supermassive! a) Caleulate the Schwarzschild radius of a 109 solar mass black hole. How...
3. I'm Supermassive! a) Caleulate the Schwarzschild radius of a 109 solar mass black hole. How does your answer compare with the size of our solar system (given by the diameter of Pluto's orbit)? (b) You observe the Doppler shifts of emission lines from gas orbiting at a distance of 60 light- years from the central supermassive black hole in the galaxy M87 (see Figure 21.18b in your textbook). Suppose you now observe emission lines from gas at (i) 30...
1 + Z Now suppose that this Universe is filled homogenously with black holes of 100 solar masses. Since we can see, in this Universe, out to a redshift of z-8, find an upper limit on the number density of these black holes, assuming that a black hole of one solar mass would have a radius of 3 km and that black hole radius scales linearly with mass. Using your upper limit on the number density of such intermediate mass...
It is said that at the center of every galaxy is a supermassive black hole (the picture below shows a picture towards the center of the Milky Way from the Keck Observatory). By observing the orbits of nearby stars, you can get a crude estimate of the mass of this black hole by assuming the stars have a circular orbit. Consider the star SO-2, which has an orbital period of 16.3 years. Its average distance from the black hole is...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the temperature of an accretion disk surrounding the black hole, and the wavelength of maximal radiation from the disk. Note that the calculation is super-simplified - if you take more advanced astronomy courses, you will do the same calculation more carefully. In this problem 'BH' means black hole. We will consider the BH of mass equal to twenty solar masses MBH = 20 MSun. (a)...
3. In this problem, we are going to examine the supermassive black hole in the center of our galaxy, Sagittarius A.. (a) (15 points) We can calculate its mass using the orbits of stars gravitationally bound to it in the same way that you can use the Earth's orbit to calculate the mass of the Sun). The orbit of a star, S2, has been fully mapped out. Its period is 15.24 yr and semi-major axis length is 980 AU. Using...
Now we consider a black hole of the same mass as the Sun: Mbh 2x 1030 kg. (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a pl M, you can only escape the planet's gravity if you start from a radius r > 2GM/ t of mass Hint: Use Newtonian mechanics. What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a planet of mass M, you can only escape the planet's gravity if you start from a radius r > 2GM/v2 Hint: Use Newtonian mechanics What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
3. I'm Supermassive! a) Caleulate the Schwarzschild radius of a 109 solar mass black hole. How does your answer compare with the size of our solar system (given by the diameter of Pluto's orbit)? (b) You observe the Doppler shifts of emission lines from gas orbiting at a distance of 60 light- years from the central supermassive black hole in the galaxy M87 (see Figure 21.18b in your textbook). Suppose you now observe emission lines from gas at (i) 30...
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