(a) Write two important limitations of Rutherford model which could not explain the observed features of atomic spectra. How were these explained in Bohr’s model of hydrogen atom ? Use the Rydberg formula to calculate the wavelength of the Ha line. (Take R = 1.1 × 107 m–1). (b) Using Bohr’s postulates, obtain the expression for the radius of the nth orbit in hydrogen atom.
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According to Rutherford’s model of an atom, electrons revolve around the nucleus as planets revolve around the sun. But, electrons revolving in circular orbits will not be stable because during revolution, they experience acceleration. Due to acceleration, they will lose energy in the form of radiation arid fall into the nucleus. In such a cases the atom would be highly unstable and would collapse.
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