An electron is revolving in a circular orbit of radius '$r$' in a hydrogen atom. Using Bohr's theory, the angular momentum of the electron is (where '$M$' = magnetic dipole moment,'$m$' = mass of electron,'$e$' = charge of electron).

What is the number of de Broglie wavelengths associated with an electron revolving in the $n^{th}$ allowed orbit of a Bohr atom?

The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom is

The radius of the electron's second stationary orbit in Bohr's atom is $R$. The radius of the third orbit will be:

In a hydrogen atom,the electron revolves around the nucleus in an orbit of radius $0.53 \times 10^{-10} \, m$. The electrical potential produced by the nucleus at the position of the electron is......$V$

$A$ doubly charged lithium atom $(Li^{++})$ is a hydrogen-like species with atomic number $Z = 3$. The wavelength of the radiation required to excite an electron from the first to the third Bohr orbit in $Li^{++}$ is.......$\mathring{A}$ (Ionization energy of hydrogen atom is $13.6\,eV$).