A galaxy with a spherically symmetric distribution of matter has a mass density profile of the type p(r) & 1/r, where r is the radial coordinate from the centre of the galaxy. To what type of circular velocity (r) does this correspond? Select one: O a. e(r) ~ + O b. (r)~r O c. ~ (r) √r O d. (r) = constant

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A galaxy with a spherically symmetric distribution of matter has a mass density profile of the type p(r) ∞ 1/r, where r is the radial coordinate from the centre
of the galaxy. To what type of circular velocity (r) does this correspond?
Select one:
a. (r)
O b.
c.
O d.
(r) ~ r
(r) ~ √r
(r): = constant
Transcribed Image Text:A galaxy with a spherically symmetric distribution of matter has a mass density profile of the type p(r) ∞ 1/r, where r is the radial coordinate from the centre of the galaxy. To what type of circular velocity (r) does this correspond? Select one: a. (r) O b. c. O d. (r) ~ r (r) ~ √r (r): = constant
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