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Kepler's third law states that square of...

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 distace r between the sun and planet i.e. `T^(2) = Kr^(3)`, here K is constant. If the masses of the sun and planet are M and m respectively, then as per Newton's law of gravitationa force of attraction between them is `F = (GMm)/(r^(2))`, hence G is gravitational constant. The relation between G and K is described as

A

`K = 1/G`

B

`GK = 4pi^(2)`

C

`GMK = 4pi^(2)`

D

`K = G`

Text Solution

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The correct Answer is:
C
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Kepler's third law states that square of period revolution (T) of a planet around the sun is proportional to third power of average distance i between sun and planet i.e. T^(2)=Kr^(3) here K is constant if the mass of sun and planet are M and m respectively then as per Newton's law of gravitational the force of alteaction between them is F=(GMm)/(r^(2)) , here G is gravitational constant. The relation between G and K is described as

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