Concept explainers
(a)
The maximum luminosity that could be produced by accretion onto a black hole of
(a)
Answer to Problem 13Q
Solution:
The maximum luminosity that can be produced due to accretion onto a black hole is
As compared to the luminosity of the Milky Way, the luminosity is
Explanation of Solution
Given data:
The size of the black hole found at the center of the Milky Way is
The luminosity of the Milky Way is
Formula used:
The maximum luminosity that can be radiated by accretion around a black hole is:
Here,
Explanation:
Recall the expression for the maximum luminosity that can be radiated by accretion around a black hole.
Substitute
The ratio of the luminosity of the black hole to the luminosity of the Milky Way will be:
Substitute
Conclusion:
Therefore, the maximum luminosity that can be radiated by accretion around a black hole is
(b)
The observation if the center of our galaxy becomes an active galactic nucleus with the luminosity observed in sub-part (a).
(b)
Answer to Problem 13Q
Solution:
As the
Explanation of Solution
Introduction:
If the luminosity increases, it would create a lot of radiation pressure. Due to this, the surrounding gas will be pushed outward, rather than falling inward and it would blow away the accreting gas.
Explanation:
Refer the value of luminosity from sub-part (a), that is, 4.44 times the luminosity of the Milky Way galaxy. When the Milky Way galaxy became a galactic active nucleus with this luminosity, the balance between the radiation pushing gas fuel outward and gravity pushing the gas inward would become imbalanced.
This would result in an increase of radiation pressure, due to which the surrounding gas is pushed outward rather than falling inward and it would blow away the accreting gas. So, the mass of the center must be quite large to keep pulling in gases.
Conclusion:
Therefore, the increase in luminosity would cause the intensity to increase from the direction of the Milky Way’s center at all wavelengths.
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Chapter 24 Solutions
Universe
- Distribution of Dark matter The most mass of our Milky Way is contained in an inner region close to the core with radius R0.Because the mass outside this inner region is almost constant, the density distribution can bewritten as following (assume a flat Milky Way with height z0):ρ(r) = (ρ0, r ≤ R00, r > R0(a) Derive an expression for the mass M(r) enclosed within the radius r.(b) Derive the expected rotational velocity of the Milky Way v(r) at a radius r.arrow_forwardSuppose that a galaxy has 109 M⊙ of neutral HI gas with a temperature of about 10 K. Estimate the luminosity of the 21 cm wavelength radiation that is expected from the galaxy. Answer in watts.arrow_forwardBlack holes radiate emission through Hawking radiation: (a) Calculate the luminosity (in W) of a 100 solar mass black hole? (b) Calculate the fractional differences in temperature and luminosity between a 100 and 10 solar mass black hole? (c) Calculate the mass of a black hole which has peak radiation at optical wavelength (500 nm)?arrow_forward
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