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24. According...

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24. According to Kepler's third law T square is proportional to R cube here the proportionality constant is K. If mass of sun and a planet is M and m respectively. Then the relation between gravitational constant G and K is

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Q. 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.

T^{2} = K r^{3}

K

is constant. If the masses of sun and planet are

M

m

respectively then as per Newton's law of gravitation force of attraction between them is

F = \frac{G M m}{2}

G

is gravitational constant. The relation between

G

K

is described as

A planet moves around sun in nearly circular orbit period of revolution 't', radius of orbit r mass of sun m.

Time period if direcyly proportional to mass of sun, distance between planet and sun and universal gravitational constant.

Prove T² is directly proportional to r³

Q. Assertion :The smaller the orbit of a planet around the Sun, the shorter is the time it takes to complete. Reason: According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from Sun.

Q. According to Kepler's Laws, the cube of the mean distance of a planet from the sun is proportional to the _________.

Q. Assertion :Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution Reason: According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from sun

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