The Hamiltonian of a particle of mass m in one-dimension is H=- -p + 2x, where 2m A>0 is a constant. If E, and E, respectively, denote the ground state energies of the particle for 2 = 1 and 2 = 2 (in appropriate units) the ratio E/E, is best approximated by (a) 1.260 (b) 1.414 (c) 1.516 (d) 1.320