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Q.

Kepler’s law states that
I. the orbit of planets are elliptical with one focus at the sun.
II. A line connecting the sun and a planet sweeps out equal areas in equal times and
III. the square the period of a planet’s orbit is proportional to the cube of its semi-major axis.
Which of these laws would remain true if the force of gravity were proportional to 1r2.5 , rather then 1r2 ?

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a

only II 

b

only I and II 

c

none of these

d

only I

answer is B.

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Detailed Solution

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The second law is consequence of conservation of angular momentum, which is still true.

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