A standard X-band (8.2-12.4 GHz) rectangular waveguide with inner dimensions of 0.9 in.(2.286 cm) by 0.4 in. (1.016 cm) is filled with lossless polystyrene (ɛr = 2.56). For the lowest-order

mode of the waveguide, determine at 10 GHz the following values. (a) Cutoff frequency (in GHz). (b) Guide wavelength (in cm). (c) Waye impedance. (d) Phase velocity (in m/s). (e) Group velocity (in m/s).