The supermassive black hole at the center of the NGC 4261 galaxy is thought to have a mass of 1 billion suns. Calculate its Schwarzschild radius and compare it with the size of our solar system.
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A: SOlution: Is black hole has zero singularity and yet capable of taking all the mass inside.
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- Imagine you are in an indestructible spaceship orbiting a black hole and you decide to launch a probe into the black hole. Explain how time would pass differently for you and the probe as it is pulled into the black hole. Also, explain what the onboard camera would observe as it passed the photon sphere and the event horizon.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.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).
- 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 black hole has a schwarzschild radius of 25 km. How much mass is contained in the black hole?Suppose a galaxy is moving away from Earth at a speed of 0.78c. It emits radio waves of 0.680 m. What wavelength would we detect on Earth? with a wavelength
- If the sun has a Schwarzschild radius, why isn't it a black hole?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.Suppose an alien race on a distant planet tries to send a message to us, with a laser (light). However, we were unaware that there is a stellar-mass black hole almost directly between us and them. How would this complicate our attempts to locate their position in the Galaxy? O Gravitational lensing would make the signal appear to be coming from a different location O The information carried by the laser (light) would be altered O It would not matter The black hole absorbs all of the light
- 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.Let's say a spaceship is approaching Sagittarius A*. How close to this black hole must the spaceship get to experience time twice as slowly?A particle maintains a circular orbit around a black hole of mass 10 Solar masses at a distance equal to 2 Schwarzschild radii. Calculate the orbital velocity of the particle and express the answer in units of the speed of light.