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_(0))/(2r_(n))(or) B_(n)propI_(n)/(r_(n))prop((f_(n)))/r_(n)`
` B_(n)prop((v_(n)//r_(n)))/r_(n)propv_(n)/((r_(n))^(2)),prop((Z//n))/((n^(2)//Z)^(2))propZ^(3)/n^(5)`