Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 11, Problem 2DQ
To determine
What kind of instruments need in a search for undiscovered black holes?
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What is the Schwarzschild radius (in km) of a 6Msun black hole?
What fraction of the Earth's radius is this?
What percent of the speed of light (2.998 x 108 m/s) is the escape velocity at the Schwarzschild radius?
Part 1 of 3
The Schwarzschild radius of a black hole is given by:
2GM
Rs
=
c2
so for the given mass,
2G(6)(Msun)
Rs
c2
where M.
Sun = 1.99 x 1030 kg.
Then convert this into kilometers using 1 km = 1,000 m.
Rs
km
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.
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.
Chapter 11 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 11 - Prob. 1RQCh. 11 - Prob. 2RQCh. 11 - Prob. 3RQCh. 11 - Prob. 4RQCh. 11 - Prob. 5RQCh. 11 - Prob. 6RQCh. 11 - Prob. 7RQCh. 11 - Prob. 8RQCh. 11 - Prob. 9RQCh. 11 - Prob. 10RQ
Ch. 11 - Prob. 11RQCh. 11 - If the Sun has a Schwarzschild radius, why isn’t...Ch. 11 - Prob. 13RQCh. 11 - Prob. 14RQCh. 11 - Prob. 15RQCh. 11 - Prob. 16RQCh. 11 - Prob. 17RQCh. 11 - Prob. 18RQCh. 11 - Prob. 1DQCh. 11 - Prob. 2DQCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 1LTLCh. 11 - Prob. 2LTL
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- What characteristics must a binary star have to be a good candidate for a black hole? Why is each of these characteristics important?arrow_forwardSince the force of gravity a significant distance away from the event horizon of a black hole is the same as that of an ordinary object of the same mass, Kepler’s third law is valid. Suppose that Earth collapsed to the size of a golf ball. What would be the period of revolution of the Moon, orbiting at its current distance of 400,000 km? Use Kepler’s third law to calculate the period of revolution of a spacecraft orbiting at a distance of 6000 km.arrow_forwardWhat is the Schwarzschild radius (in km) of a 20 solar mass black hole?arrow_forward
- (a) Calculate the photon capture radius and the Schwarzschild radius of M87* (in AU). (b) Why was it not possible for previous telescopes to take such a picture of the black hole? (c) Describe the components and functionality of the event horizon telescope.arrow_forward1. What would be the diameter (of the event horizon) of a black hole with the same mass as Jupiter? (2 points) answer: D BH ft m =arrow_forwardwhat is the mass of the black hole ? give your answer as a multiple of Ms where Ms is the solar mass, Ms = 2.0 * 10^(30) express your answer as a multiple of the solar mass mass Ms.arrow_forward
- 1.2 1.0 0.8 0.6 Cosmic background data from COBE 0.4 0.2 0.0 0.5 10 Wavelength A in mm c) Background (CMB) undertaken by the COBE satellite. Use this diagram to estimate the current temperature of the CMB. Based on your estimate, what would the temperature of the CMB have been at a redshift of z = 5000? The left hand diagram above shows the results from observations of the Cosmic Microwave Radiated Intensity per Unit Wavelength (16° Watts/m per mm)arrow_forwardWhat is the orbital period of a bit of matter in an accretion disk that is located 4 ✕ 105 km from a 87 M black hole? Use the circular orbit velocity formula.arrow_forwardIn 1999, scientists discovered a new class of black holes with masses 100 to 10000 times the mass of our sun, but occupying 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 7.0x10^5km and it has an average density of 1.4x10^3kg/m^3. The diameter of the moon is 2.16x10^3 miles. Note: the volume of a sphere is V=4/3 pie r^3arrow_forward
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