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)` independent of `n, r_(n)prop n`
B. `T_(n) prop(1)/(n),r_(n) prop n`
C. `T_(n) prop(1)/(n) n_(1),r_(n) prop n^(2)`
D. `T_(n) prop (1)/(n^(2)),r_(n)prop n^(2)`

Answer

A

Explanation

`(mv^(2))/(r )=(K)/(r )`.....(1)
`Mvr=(nh)/(2pi)`....(2)
Solve the equation