The wavelength of the electron in the ground state of hydrogen atom is y Å . What is the wavelength of the electron in the fourth orbit of He ⁺ ion (in Å ) is

Step-by-step solution

The wavelength of an electron in the nth energy level of a hydrogen-like atom (an atom with only one electron) is given by: =h / p where h is Planck's constant and p is the momentum of the electron. The momentum of the electron is related to its energy and mass by the formula: p= sqrt (2 mE ) where m is the mass of the electron and E is its energy. The energy of an electron in the nth energy level of a hydrogen-like atom is given by: E =- (m e^ 4 ) / (8 ₀ 2 h^ 2 ) * (1 / n^ 2 ) where me is the mass of the electron,