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

State the principle of a cyclotron. Show that the time period of revolution of particles in a cyclotron is independent of their speed, Why is this property necessary for the operation of a cyclotron ?

The radius of the earth = R. if a geostationary satellite is revolving along a circular path at an altitude of 6R above the surface of the earth, what will be the time period of revolution of another satellite revolving around the earth at an altitude of 2.5R ?

Two planet are revolving around the sun. their time periods of revolution and the average radii of the orbits are respectively (T_1,T_2) and (r_1,r_2) . The ratio T_1//T_2 is

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

Prove that in the case of an artificial satellite revolving around a spherical planet, its minimum time period of revolution depends only on the mean density of the planet.

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)

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