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

Radius of the 1^st orbit of hydrogen atom is r₀. What will be the radius of the 4^th orbit?

Answer the following question, which help you understand the difference between Thomson’s model and Rutherford’s model better.

Is the average angle of deflection of α­-particles by a thin gold foil predicted by Thomson’s model much less, about the same, or much greater than that predicted by Rutherford’s model?

Write two important limitations of Rutherford's nuclear model of the atom.

An alpha nucleus of energy `1/2`mv² bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to ______.

1. v²
2. `1/"m"`
3. `1/"v"^2`
4. `1/"Ze"`

The shortest wavelength of the Brackett series of a hydrogen like atom of atomic number Z is same as the shortest wavelength of the Balmer series of hydrogen atom, then the value of Z is ______.

In the ground state of ______ electrons are in stable equilibrium, while in ______ electrons always experience a net force.

Answer the following question.
A charged particle q is moving in the presence of a magnetic field B which is inclined to an angle 30° with the direction of the motion of the particle. Draw the trajectory followed by the particle in the presence of the field and explain how the particle describes this path.

Would the Bohr formula for the H-atom remain unchanged if proton had a charge (+4/3)e and electron a charge (−3/4)e, where e = 1.6 × 10^–19C. Give reasons for your answer.