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 form the origin. By applying bohr model to this system, the radius of `n^th` orbit of the electron is found to be `r_n` and the kinetic energy of the electron is found 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