Imagine a light planet revolving around a very heavy star in a circular path. The radius of the orbit =R and the time period of revolution =T. if the gravitational force of attraction between the star and the planet is directly proportional to `R^(-5//2)`, then the relation between T and R would be `T^2 prop R^n`. Determine the value of n.

A planet is rotating round a heavy star along a circular path of radius R with time T. if the gravitational force of attraction between planet and star is proportional to R^(-5/2) , then T^2 prop R^x . What is the value of x ?

A planet is rotating round a heavy star along a circular path of radius R with time T. If the gravitational force of attraction between planet & star is proportional R^(-5//2) then T^2 prop R^x what is the value of x?

An artificial satellite is revolving around the earth in a circular orbit of radius r. If the time period of revolution of the satellite is T, show that T^2 prop r^3 .

Charge q_2 of mass m revolves around a stationary charge - q_1 in a circular orbit of radius r. The orbital periodic time of q_2 would be

Two planets are revolving around a star and the ratio of their average orbital radii is 2:1 . Determine the ratio of their time periods.

Two small artificial satellite are revolving around the earth in two circular orbits of radii r and (r+Deltar) . If their time periods of revolution are T and T+Delta T , then (Deltar lt lt r, DeltaT lt lt T)

Show that the time period of revolution for any planet T^2propr^3 [r = radius of the circular path]

Suppose the gravitational force varies inversely as the n th power of the distance. Thus the time period of a planet moving in a circular orbit of radius r around the sun will be proportional to

Suppose the gravitational force varies inversely as the n th power of the distance. Thus the time period of a planet moving in a circular orbit of radius r around the sun will be proportional to

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 between sun and planet ? i.e., T^2=Kr^3 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=(GMm)/(r^2) here G is gravitational constant The relation between G and K is described as