please help with the following questions (part d and e only) based on the question in the picture d. Find an expression for the velocity of the electron at each energy level. Calculatethe velocity of the electron at the lowest energy level.e. Assume a hypothetical ion with Z protons, no neutrons and one electron. Abovewhich Z the velocity of the electron exceeds the speed of light? can such an atomexist? Consider a Helium ion (Z = 2) with one electron.a. Derive the energy levels of the this ion.b. Calculate the ionisation energy.c. Calculate the 5 main wavelengths of the principal series, namely the wavelengththat corresponds to the transitions n → 1, with n = = 2, 3, 4, 5, 6. Plot them asspectral lines.d. Find an expression for the velocity of the electron at each energy level. Calculatethe velocity of the electron at the lowest energy level.e. Assume a hypothetical ion with Z protons, no neutrons and one electron. Abovewhich Z the velocity of the electron exceeds the speed of light? can such an atomexist?

Let an atom has Z number of protons in it's nucleus and one electron is revolving in nth orbit .

d. Find an expression for the velocity of the electron at each energy level. Calculate the velocity of the electron at the lowest energy level. e. Assume a hypothetical ion with Z protons, no neutrons and one electron. Above which Z the velocity of the electron exceeds the speed of light? can such an atom exist?

d. Find an expression for the velocity of the electron at each energy level. Calculate the velocity of the electron at the lowest energy level. e. Assume a hypothetical ion with Z protons, no neutrons and one electron. Above which Z the velocity of the electron exceeds the speed of light? can such an atom exist?