Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the 2^ nd and 4^ th orbits of hydrogen atom _______.

Step-by-step solution

The magnetic field at the center of a circular orbit is given by B = ₀ I 2r . The equivalent current due to the revolving electron is I = e T = ev 2 r . Substituting I into the expression for B , we get B = ₀ ev 4 r^2 . According to Bohr's model for a hydrogen atom, the velocity of the electron in the n^ th orbit is v 1 n and the radius of the orbit is r n^2 . Therefore, the magnetic field B depends on the principal quantum number n as B 1/n (n^2)^2 B 1 n^5 . The ratio of the magnetic fields in the 2^ nd and 4^ th