A single electron atom has nuclear charge +Ze where Z is atomic number and e is electronic charge. It requires 42.7 eV to excite the electron from the second Bohr's orbit to third Bohr's orbit. Find :
(a) the atomic number of element.
(b) the energy required for transition of electron from third to fourth orbit.
(c) the wavelength required to remove electron from first Bohr's orbit to infinity.
(d) the kinetic energy of electron in first Bohr's orbit.