Consider a temn mode in a rectangular waveguide. find the time-averaged poynting vector(s) and energy density 〈u). integrate over the cross-section of the waveguide to obtain the energy per unit time and the energy per unit length carried by the wave. calculate their ratio. confirm that the energy in the mode travels at the group velocity vg - do/dk.

1. when conducting a test on what kind of music increases the growth of plants, all of the following would fail to meet to fair test standard except (1 point) using different kinds of plants. giving some plants more water than others. exposing the plants to different types of music. using nutrient-rich soil for one and lesser soil for others. 2. engineering uses scientific thinking to solve real-world problems. (1 point) true false 3. what does it mean to test a hypothesis? (1 point) pass a quiz on other scientists’ results analyze only the results from scientific sources not make assumptions about how an experiment will turn out see if the results of an experiment are what the scientist predicted