If `V, T, L, K` and `r` denote speed, time period, angular momentum, kinetic energy and radius of satellite in circular orbit (a)`Valphar^(-1)`,(b) `Lalphar^(1//2)`
`(c) Talphar^(3//2)`,(d) `Kalphar^(-2)`

A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R_(1) and R_(2) respectively. Ignore the gravitational force between the satellites. Define v_(1), L_(1), K_(1) and T_(1) to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1 , and v_(2), L_(2), K_(2) and T_(2) to be he corresponding quantities of satellite 2. Given m_(1)//m_(2) = 2 and R_(1)//R_(2) = 1//4 , match the ratios in List-I to the numbers in List-II.

A planet of mass , has two natural satellites with masses and . The radii of their circular orbits are and respectively. Ignore the gravitational force between the satellites. Define , and to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1, and , , and to be the corresponding quantities of satellite 2. Given//2 and //1//4 , match the ratios in List-I to the numbers in List-II.

What are the values of the orbital angular momentum of an electron in the orbitals 1s,3s,3d and 2p :-

What are the values of the orbital angular momentum of an electron in the orbitals 1 s, 3 s, 3 d and 2 p ?

A 400 kg satellite is in a circular orbite of radius 2R around the earth how much energy is required to transfer it to circular orbit of radius 4R

Satellite 1 is in a certain circular orbit around a planet, while satellite 2 is in a larger circular orbit. Which satellite has (a) the longer period and (b) the greater speed ?

If g prop 1/R^(3) (instead of 1/R^(2) ), then the relation between time period of a satellite near earth's surface and radius R will be

STATEMENT -1 : Kepler's second law is the consequence of law of conservation of angular momentum. STATEMENT -2 : In planetary motion, the momentum, angular momentum and mechanical energy is conserved. STATEMENT -3 : The gravitational field of a circular ring is maximum at a point upon axis at distance (R )/(sqrt(2)) from the centre, where R is the radius of ring.