A nuclear fragment is sent through a diffraction grating with a speed of 2.50 x 106 m/s to demonstrate its wave properties. The resulting interference pattern shows a wave pattern consistent with a wavelength of 3.50 x 10-14 m. What is the mass of the particle?   A.    5.84 x 10-30 kg   B.    1.67 x 10-27 kg   C.    7.58 x 10-24 kg   D.    5.89 x 10-27 kg   E.    7.58 x 10-27 kg

9. T/F a. Perfect absorbers of electromagnetic radiation are also perfect emitters. b. At any instant in time, it is possible to specify simultaneously the position and the momentum of a particle to arbitrarily high precision. C. The ground state is the lowest energy level in an atom. d. Certain types of sunglasses are very effective at diminishing light reflected from surfaces because of polarization. e. A light ray bends when it goes from one medium to another because of diffraction.

5. A singly ionized helium atom is in the ground state. It absorbs energy and makes a transition to the n = 3 excited state. The ion returns to the ground state by emitting TWO photons ONLY. What is the wavelength of the highest energy photon? 3 f60 ssfo of60 ss the 50 ssf60

2² $2(x)] where $1(x) and ø2(x) are The wave function is given by y (x, t) = C[3e¬iwitp1(x) + 4e-iwzt, energy eigenfunctions that are orthonormal, and w1 = 3.0 × 1015 Hz and w2 = 7.5 × 1015 Hz. What are the two energy levels in units of eV? Calculate the average energy of the system in eV.