Questions
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. 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
The relation between G and K is described as
detailed solution
Correct option is D
Gravitational force of attraction between sun and planet provides centripetal force for the orbit of planet.∴ GMmr2=mv2rv2=GMr . . . .(I)Time period of the planet is given by T=2πrv, T2=4π2r2v2T2=4π2r2GMr (using eqn. (i))T2=4π2r3GM . . . . (ii)According to questionT2=Kr3 . . . .(iii) Comparing equations (ii) and (iii), we get K=4π2GM ∴ GMK=4π2Similar Questions
When milk is churned, cream gets seperated due to
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