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Physics
Physics
Problem
The mass density of a spherical galaxy varies as
K
r
\frac{K}{r}
r
K
over a large distance
r
r
r
from its centre. In that region, a small star is in a circular orbit of radius
R
R
R
. Then the period of revolution,
T
T
T
depends on
R
R
R
as : a.
T
2
∝
R
T^2 \propto R
T
2
∝
R
b.
T
2
∝
R
3
T^2 \propto R^3
T
2
∝
R
3
c.
T
2
∝
1
R
3
T^2 \propto \frac{1}{R^3}
T
2
∝
R
3
1
d.
T
∝
R
T \propto R
T
∝
R
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