photodissociation composite objects, such as atoms, molecules, and atomic nuclei, can be dissociated by absorbing a photo that & 4mi + m object and c is the speed of light. assume that the object is initially at rest. because the (m1 m2)c2, where m1 and m2 are the masses of the two constituents of the cident photon carries momentum, which must be taken up by the masses m, and ma, the pho of the recoiling fragments ton energy required to break up the nucleus exceeds eo by the kinetic energy (a) calculate the minimum excess energy (δε)min-en -eo required to break (b) for the specific case of minimum photon energy, what are the magnitudes of up the object, under the assumptions stated. both the longitudinal and the transverse components of the recoil momenta and recoil velocities of the two masses mi and m2. (c) calculate numerical values for all quantities of interest for the photo-dissoci- ation of a deuteron (m1 ~ m2 ~ 1 amu, ε。~ 2.2 mev), and compare the minimum recoil energies with thermal energies at 300k. repeat the numerical calculations for a hydrogen atom (co-13.6 ev), to which the same formal equations apply. note: the seemingly straightforward approach of first solving the recoil problem for arbitrary energy is unnecessarily complex for determining just the minimum-energy recoil conditions. instead, after setting up the equations for energy and momentum conservation, first take differentials, next set dω = 0, which is the condition of minimum photon energy, and then solve the equations that are left.