Suppose an electron is attracted toward 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 ?

Options

A. `T_(n) prop (1)/(n^(2))`
B. `T_(n)" is independent of "n, r_(n) prop n`
C. `T_(n) prop (1)/(n), r_(n) prop n`
D. `T_(n) prop (1)/(n) and r_(n) prop n^(2)`

Answer

B