Suppose an electron is attracted towards the origin by a force $$k/r$$ where '$$k$$' is a constant and '$$r$$' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the $$n^{th}$$ orbital of the electron is found to be '$$r_n$$' and the kinetic energy of the electron to be $$T_n$$. Then which of the following is true?

A

$$T_n \propto 1/n^2,\ r_n \propto n^2$$

B

$$T_n$$ independent of $$n$$, $$r_n \propto n$$

C

$$T_n \propto 1/n,\ r_n \propto n$$

D

$$T_n \propto 1/n,\ r_n \propto n^2$$