You are a demonstration assistant to a physics professor. She has an upcoming lecture this afternoon on the behavior of dipole molecules in electric fields, and has built a macroscopic model of a dipolar molecule as shown in figure (a) below. She will use the device in the afternoon class to demonstrate molecular behavior in electric fields. When you arrive in the morning, she shows you the device. Two small particles of mass m = 15.0 g with charges of equal magnitude q = 0.800 µC and opposite sign are on the ends of a very light rod of length ℓ = 15.0 cm. The center of the rod is mounted on a friction-free pivot so that the charges and rod can rotate in the plane of the page in figure (b). The charges and rod are then immersed in a uniform electric field of magnitude E = 450 N/C. (a)Your professor has to run off to teach her morning lecture and asks you to determine the expected period for oscillations (in s) if the "dipole" is disturbed from its orientation parallel to the field through a small angle , as in figure (b), and then released. (b)What if everything is the same except that the masses of the particles are not the same: m1 = 15.0 g, m2 = 30.0 g? What is the period of oscillation (in s) now? (Assume m1 is the mass of the positive charge, and m2 is the mass of the negative charge.)