Magnetic field at the center (at nucleus) of the hydrogen like atom `("atomic number" = z)` due to the motion of electron in nth orbit is proporional to

Options

A. `n^(3)/z^(5)`
B. `n^(4)/Z`
C. `z^(2)/n^(3)`
D. `z^(3)/n^(5)`

Answer

D

Explanation

`B_(n)=(mu_(0)I_(n))/(2r_(n))or B_(n)propI_(n)/r_(n),prop((fn))/r_(n)`
` thereforeB_(n) prop ((V_(n)//r_(n)))/(r_(n))prop v_(n)/((r_(n))^(2))prop((Z//n))/((n^(2)//Z)^(2))propz^(3)/n^(5)`