Class 12 Physics Mechanics Gravitation

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=r_{2}GMm $, here $G$ is gravitational constant. The relation between $G$ and $K$ is described as

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=r_{2}GMm $, here $G$ is gravitational constant. The relation between $G$ and $K$ is described as

(a)

$GK=4π_{2}$

(b)

$GMK=4π_{2}$

(c)

$K=G$

(d)

$K=G1 $

Correct answer: (b)

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