A hydrogen atom in the 2P state will decay to the 1S state. The lifetime of the 2P state is approximately 2 nanoseconds. a. Find the uncertainty in the energy of the 2P state using the uncertainty principle. b. Since and uncertainty in the energy of the state will translate to an uncertainty in the energy of the photon emitted in a photo-transition, find the ratio of uncertainty of the energy of the photon to the energy of the photon in the transition 2P to 1S.