The cutoff frequency (in GHz ) for the dominant $\mathrm{TE}_{10}$ mode of an air-filled rectangular waveguide of inner dimension 0.28 inch $\times 0.14$ inch is $\_\_\_\_$ .

(rounded off to two decimal places).

For a lossless passive two-port network, $\left|S_{11}\right|$ and $\left|S_{21}\right|$ intersect at -3 dB .

For a lossy passive two-port network, $\left|S_{11}\right|$ and $\left|S_{21}\right|$ intersect at -4 dB ..

The percentage of power dissipated in the lossy network at the intersection frequency is $\_\_\_\_$ .

(rounded off to two decimal places)

A complex load (in $\Omega$ ) is represented as $\Gamma_L=0.5 \angle 30^{\circ}$ on the Smith chart. A co-axial cable with a characteristic impedance of $50 \Omega$ is connected to the load. The new input impedance of the load now moves to a diametrically opposite point on the same $\Gamma$ circle on the Smith chart.

Which option is the nearest input impedance of the cable connected load (in $\Omega$ )?

Consider carrier transport in a Zener diode in the breakdown region. Which is the dominant transport mechanism for current flow in this case?