State the limitations of plum pudding model of the atom.
There are some limitations of this model it is that according to law of electrostatic stationary stable charge distributed is not possible. Because the electron of atom experience Coulomb force due to positive charge in atom. So they cannot remain stable but move with acceleration. Hence, the distribution of the electrons and positive charges are very different from that proposed in this model.
Each condensed matter at all temperature emit electromagnetic radiation in which a continuous distribution of several wavelength is present, although their intensity is different. In contrast light emitted from rarefied gases heated in a flame has only certain discrete wavelengths. The spectrum appears as a series of bright lines.
In such gases, the average spacing between atoms is large. Hence, the radiation emitted can be considered due to individual atoms rather than because of interactions between atoms or molecules.
This fact suggested an intimate relationship between the internal structure of an atom and the spectrum of radiation.
Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is
What is plum pudding model of the atom ?
The graph which depicts the results of Rutherform gold foil experiment with $\alpha$ -particales is
$\theta:$ Scattering angle
$\mathrm{Y}:$ Number of scattered $\alpha$ -particles detected
(Plots are schematic and not to scale)
Hydrogen $(H)$, deuterium $(D)$, singly ionized helium $(He^+)$ and doubly ionized lithium $(Li^{++})$ all have one electron around the nucleus. Consider $n = 2$ to $n = 1$ transition. The wavelengths of emitted radiations are $\lambda_1, \lambda_2 \lambda_3$ and $\lambda_4$ respectively.
The ratio between total acceleration of the electron in singly ionized helium atom and hydrogen atom (both in ground state) is