Q. The electric field component of an electromagnetic wave traveling in vacuum is given by: E(z,t) = E₁ cos(kz - wt) î What is the direction of propagation of this wave? b) What is the direction of the Poynting vector, S? What is the corresponding magnetic field B?

The following are sets of rotational quantum numbers (J,MJ,K). Label each indicated transition as either allowed or forbidden. Hint: Remember the rules for allowed values of the various quatum numbers. a (0,0,0)(1,1,0)b (0,0,0)(1,0,0) c (3,2,1)(3,1,1)d (4,4,1)(2,4,1)

5. Determine yy for each of the following wavefunctions: (i =V-1) a) y (x) = e b) y(0) = sin 0 +i cose c) w(x) = A · e*.

9 F F F F W ← ← 9. ← Sketch a plot of the wave for the energy levels of HOMO and LUMO of B-carotene molecule, clearly show the number of wave they have, respectively. There is no need to concern about the turning point and amplitude of the waves on the sketch. On the plot, also write down the equations for the allowed wavefunctions acceptable for the HOMO and LUMO, respectively, for the 1-D particle in a box model. (No need to convert variables to numerical data, except for n.) (8 marks)< You may paste your scanned hand-drawn sketch, or use any available software for your sketch.< Your Sketch:< E E E ← ← ←