Apply Bohr's model to the hydrogen atomfor the following questions. (Be careful with signs here. Signs are important and the wrong sign means the wrong answer!)(i)Show that the allowed orbital radiirin the Bohr model are proportional to n2. Specifically, show thatin general the radius of the nth orbitan= n2a0, where a0(calledthe Bohrradius) is the orbital radius for the lowest energy (ground) state.(ii) Determine the numerical value for the Bohr radius.(iii)Calculate the electrostatic potential energyof the electron-proton system in theground state (in eV).(iv)Calculate the kinetic energyof the electronin theground state (in eV).(v)What is the total energy of the electron in this ground state (in eV)?