
(a)
The composition of a transneptunian object of same mass as earth.

Answer to Problem 23Q
TNO at the distance of
Explanation of Solution
The transneptunian objects or TNOs, first found about in February,
The largest transneptunian are also named as dwarf planets.A trans-Neptunian object is a kind of a planet or a minor planet among other celestial objects in the solar system that orbits the sun at greater orbital radii than Neptune and also a larger orbital speed.
As first TNO was Pluto that brought a new revolution in astronomy and after whose discovery, many astronomers wanted more TNOs like that. One of the astronomers, an American astronomer Clyde Tombaugh started researching for more such objects for a couple of years, but he found nothing.
After that for a long time, no astronomer had the guts to go for research for such objects as sake of saving time and spending it in some productive work and also as they believed that there would be no more of such objects like transneptunian.
Average distance between the sun and the Neptune is
Conclusion:
Thus, TNO at the distance of
(b)
The diameter of a transneptunian and the comparison of it with that of the Earth.

Answer to Problem 23Q
The diameter of a transneptunian is
Explanation of Solution
Concept used:
The mass of the transneptunian is equal to the mass of the earth,
Write the expression for the density of the transneptunian.
Here,
Rearrange the above equation for
Write the expression for the volume.
Here,
Substitute
Rearrange the above expression for
Write the expression for the ratio of the diameters of the above TNO to that of earth.
Calculation:
Substitute
The diameter of the TNO is
Substitute
Conclusion:
Thus, the diameter of a transneptunian is
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Chapter 7 Solutions
Universe: Stars And Galaxies
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