List of top Physics Questions on Atomic Structure

An electron in a hydrogen-like atom has energy equal to \( -0.04 E_0 \), where \( E_0 \) is the magnitude of energy of this electron in ground state in eV. If the angular momentum of this electron is \( L \), then the value of \( \frac{2 \pi L}{h} \) is (where \( h \) is Planck's constant).

Write the mathematical forms of three postulates of Bohr’s theory of the hydrogen atom. Using them prove that, for an electron revolving in the \( n \)-th orbit,
(a) the radius of the orbit is proportional to \( n^2 \), and
(b) the total energy of the atom is proportional to \( \frac{1}{n^2} \).

Assertion (A): In Rutherford’s alpha particle scattering experiment, the presence of only few alpha particles at angle of scattering \( \pi \) led him to the discovery of the nucleus.
Reason (R): The size of the nucleus is approximately \( 10^{-5} \) times the size of an atom and therefore only few alpha particles are rebounded.

The energy of an electron in an orbit of Bohr hydrogen atom is \( -3.4 \, \text{eV} \). Find its angular momentum.

An electron revolving in the \( n^{th} \) Bohr orbit has magnetic moment \( \mu \). If \( \mu_n \) is the value of \( \mu \), the value of \( x \) is:

Radius of a certain orbit of hydrogen atom is 8.48 Å. If energy of electron in this orbit is E/x, then x = ______.
(Given a₀ = 0.529Å, E = energy of electron in ground state)

An electron of a hydrogen atom in an excited state is having energy \( E_n = -0.85 \, \text{eV} \). The maximum number of allowed transitions to lower energy levels is \( \ldots \).