Kepler’s third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance
between sun and planet i.e.
here
is constant. If the masses of sun and planet are
and
respectively then as per Newton’s law of gravitation force of attraction between them is
, here
is gravitational constant. The relation between
and
is described as
Text Solution
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: Gravitational force of attraction between sun and planet provides centripetal
force for the orbit of planet.
Time period of the planet is given by
(Using (i))

According to question,
Comparing equations (ii) and (iii), we get
(
)
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