Q: Discuss the limitations of Rutherford's atomic model. Explain how Bohr's atomic model successfully overcame these limitations and accounted for the stability of atoms and atomic spectra.

Limitations of Rutherford's Atomic Model\nAlthough Rutherford's $\alpha$-particle scattering experiment successfully established the nuclear model of the atom (proposing a heavy, positively charged nucleus surrounded by orbiting electrons), it suffered from major theoretical flaws: Inability to Expl

Question 1

Calculate the shortest wavelength of the spectral lines in the Balmer series of hydrogen atom. Given the value of Rydberg constant $R = 1.097 	imes 10^7 	ext{ m}^{-1}$.

Accepted Answer

To find the shortest wavelength of the spectral lines in the Balmer series of a hydrogen atom, we use the Rydberg formula for the wavelength $\lambda$ of emitted radiation: $$\frac{1}{\lambda} = R \left( \frac{1}{n1^2} - \frac{1}{n2^2} ight)$$ 
For the Balmer series, the lower energy level is fix

Question 2

Discuss the limitations of Rutherford's atomic model. Explain how Bohr's atomic model successfully overcame these limitations and accounted for the stability of atoms and atomic spectra.

Accepted Answer

Limitations of Rutherford's Atomic Model
Although Rutherford's $\alpha$-particle scattering experiment successfully established the nuclear model of the atom (proposing a heavy, positively charged nucleus surrounded by orbiting electrons), it suffered from major theoretical flaws: Inability to Expl

Atoms