What is shown by Thomson's experiments of electric discharge through gases ? And explain the plum pudding model.
These experiments showed the atoms of various elements contain negatively charged constituents (electrons).
They are identical for all atoms.
All atoms are electrically neutral even though they have negatively charged constituents.
Therefore, an atom must also contain some positive charge to neutralise the negative charge of the electrons. To understand this, Thomson understood the atomic model called Plum Pudding Model of the atom.
According to this model, the positive charge of the atom is uniformly distributed throughout the volume of the atom.
In this model the negatively charged electrons are embended in it like seeds in a watermelon. This called plum pudding model of the atom.
In Bohr model of hydrogen atom, the force on the electron depends on the principle quantum number as
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.
In Rutherford's experiment, number of particles scattered at $90^{\circ}$ angle are $x$ per second. Number particles scattered per second at angle $60^{\circ}$ is
In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number as
A proton is fired from very far away towards a nucleus with charge $Q=120 \ e$, where $e$ is the electronic charge. It makes a closest approach of $10 \ fm$ to the nucleus. The de Brogle wavelength (in units of $fm$ ) of the proton at its start is :
(take the proton mass, $m _0=(5 / 3) \times 10^{-27} kg , h / e =4.2 \times 10^{-15} J / s / C ; \frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 m / F ; 1 fm =10^{-15} m$ )