Exercise

Using Rutherford model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?

The wavelength of the first member of Balmer series is $6563 \mathrm{\AA }$. Calculate the wavelength of second member of Lyman series.

Calculate the shortest wavelength of Balmer series. Or calculate the wavelength of the Balmer series limit. Given: $R = 10970000 {\mathrm{m}}^{-1}$.

The wavelength of the first member of Balmer series is $6563 \mathrm{\AA }$. Calculate the wavelength of second member of Lyman series.

The second member of Lyman series in hydrogen spectrum has wavelength $5400 \mathrm{\AA }$. Find the wavelength of first member.

Using the Rydberg formula, calculate the wavelength of the first four spectral lines in the Balmer series of the hydrogen spectrum.

Write two limitations of Bohr's atomic model.

What are the limitations of Bohr's model$?$