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) prop (I_n)/( r)n) prop ((f_n))/( r_n)`
`B_(n) prop ((v_(n)//r_n))/( r_n) prop ( v_n)/(( r_n)^2), prop ((Z//n))/((n^2//Z))prop (Z^3)/(n^5)`