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.

Options

A. A-S, B-Q, C-P, D-R
B. A-R, B-Q, C-R, D-P
C. A-Q, B-R, C-P, D-S
D. A-Q, B-R, C-S, D-P

Answer

B

Explanation

`v prop 1/sqrtr` , Hence correct answer is ‘B’ Also , `T prop r^(3//2)` , `K prop m/r`