AIPMT | 2015GravitationHard
Question
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 r between sun and planet
i.e. T2 = Kr3
here K is constant. If the masses of sun and planet are M and m respectively then as per Newton′s law of gravitation force of attraction between them is
F =
, here G is gravitational constant. The relation between G and K is described as :
i.e. T2 = Kr3
here K is constant. If the masses of sun and planet are M and m respectively then as per Newton′s law of gravitation force of attraction between them is
F =
, here G is gravitational constant. The relation between G and K is described as :Options
A.GMK = 4π2
B.K = G
C.K = 
D.GK = 4π2
Solution
T = 
T =
r3/2
T2 =
. r3
Comparing
K =
Hence option (1)
T =
r3/2T2 =
. r3Comparing
K =
Hence option (1)
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