Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

At what speed must have electron revolve around the nucleus of hydrogen atom so that it may not be pulled into the nucleus by electrostatic force of attraction $r=0.5\times {10}^{-10}m, Me=9.1\times {10}^{-31}kg and e=1.6\times {10}^{-19}C$

Velocity of electron orbiting around nucleus of hydrogen atom is proportional to radius (r)

Radius of the smallest orbit of hydrogen atom is

$(h =Planks\text{'} cons\tan t = 6.6\times {10}^{-34}Js, Me=9.1\times {10}^{-31}g \mathrm{and} e=1.6\times {10}^{-19}C)$

The KE of the electron in an orbit of radius $r$ in hydrogen atom is ($e$= electronic charge) is $\frac{e^x}{2r}$. The value of $x$ is _____.

The total energy of an electron in the first excited state of the hydrogen atom is about $-34 eV$. The kinetic energy of the electron in this state is $3.4 eV$

Explain briefly how the Rutherford atomic model is not able to explain stability of the atom.

Geiger-Marsden experiment is related with the size of the-

A beam of fast moving alpha particles were directed towards a thin film of Gold. The parts $A^{\text{'}}, B^{\text{'}}$ and $C^{\text{'}}$ of the transmitted and reflected beams corresponding to the incident parts $A, B$ and $C$ of the beam are shown in the adjoing diagram. The number of alpha particles in

The total energy of an electron in the hydrogen atom is $-2.2\times {10}^{-18} \mathrm{J}$.  The kinetic energy of the electron will be:

On which of the following factors does the trajectory of an alpha particle depend?

What will be the trajectory of an alpha particle if the impact parameter is large?

Calculate the impact parameter of a $5 \mathrm{MeV}$ alpha particle scattered by $10°$ when it approaches a gold nucleus ($Z= 79$).

Rutherford proposed a nuclear model of the atom in which the atom is composed of a tiny nucleus at its edge containing positive charges.

An alpha particle of energy $5 \mathrm{MeV}$ is scattered through $180°$ by a fixed uranium nucleus. Then, the distance of closest approach is of the order of ${10}^{-12} \mathrm{cm}$.

Explain the Rutherford's model of an atom.

With the help of neat diagram, describe the Geiger-Marsden experiment.

Mention the main consideration in Rutherford's atomic model.

Which experiment indicated that the whole positive charge of an atom is confined to a very minute space in the centre?

$\alpha$-particles of $\text{6 MeV}$ energy are scattered back from a silver foil. If the maximum volume in which the entire positive charge of the atom is supposed to be concentrated is $4.8\times {10}^{-\mathrm{n}} {\mathrm{m}}^3$ then find value of n. $\left[\left(\text{Z for Ag}=\text{47}\right)\text{,}\mathrm{ k}=\text{9.0}\times {\text{10}}^9{\text{ Nm}}^2{\text{ C}}^{-2}\right]$.

According to $\mathrm{\alpha }-$particle scattering experiment of Rutherford.
$\mathrm{N}\left(\mathrm{\theta }\right) \propto$ $\frac{1}{\mathrm{K}.{\mathrm{E}}^{\mathrm{x}}}$
Here $\mathrm{N}\left(\mathrm{\theta }\right) =$ no. of α-particle scattered at an angle $\mathrm{\theta }.$
$\mathrm{K}.\mathrm{E} =$Kinetic energy (initial) of $\mathrm{\alpha }-$particle.
What is the value of $\mathrm{x} ?$