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JEE Main 10 April 2015 Paper
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© examsnet.com
Question : 7
Total: 90
A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R (R < < L). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is T and its distance from the galaxy's axis is r, then :
T
2
∝
r
3
T
∝
r
2
T
∝
r
T
∝
√
r
Validate
Solution:
F
=
2
G
M
L
r
m
m
r
(
2
π
T
)
2
=
2
G
M
m
L
r
T
∝
r
© examsnet.com
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