Concept explainers
(a)
The radius of the circumsteller accretion disc using ruler.
Answer to Problem 28Q
The radius of circumstellar accretion disc is
Explanation of Solution
Calculation:
The radius of circumstellar accretion disc is one-sixth of the measuring ruler which has a total length of
The radius of circumstellar accretion disc is calculated as,
The radius of circumstellar accretion disc in km is calculated as,
Conclusion:
The radius of circumstellar accretion disc is
(b)
The orbital period of the particle at outer edge of the disc.
Answer to Problem 28Q
The orbital period of particle is
Explanation of Solution
Given:
Mass of the young star is
Formula used:
The expression of orbital period is given by,
Calculation:
The orbital period of the particle at the edge of disc is calculated as,
Conclusion:
The orbital period of particle is
(c)
The length of the jet that extends to the right of the circumstellar accretion disc and time taken by the star to traverse the entire visible range of jet.
Answer to Problem 28Q
The distance of the jet extends to the right of the disc is
Explanation of Solution
Given:
Speed of the gas is
Formula used:
The expression of time taken is given by,
Calculation:
The length of the jet which extends at the right side of the circumstellar accretion disc is one third of the total length of about
The length of jet is calculated as,
The time taken by the gas is calculated as,
Conclusion:
The distance of the jet extends to the right of the disc is
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Chapter 18 Solutions
Universe: Stars And Galaxies
- Once again in this chapter, we see the use of Kepler’s third law to estimate the mass of supermassive black holes. In the case of NGC 4261, this chapter supplied the result of the calculation of the mass of the black hole in NGC 4261. In order to get this answer, astronomers had to measure the velocity of particles in the ring of dust and gas that surrounds the black hole. How high were these velocities? Turn Kepler’s third law around and use the information given in this chapter about the galaxy NGC 4261-the mass of the black hole at its center and the diameter of the surrounding ring of dust and gas-to calculate how long it would take a dust particle in the ring to complete a single orbit around the black hole. Assume that the only force acting on the dust particle is the gravitational force exerted by the black hole. Calculate the velocity of the dust particle in km/s.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_forwardUsing the same techniques as used in Exercise 19.32, how far away can Gaia be used to measure distances with an uncertainty of 10%? What fraction of the Galactic disk does this correspond to?arrow_forward
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