GATE EC 2016 Question Paper (31-Jan-2016) (Shift 2)

The bit error probability of a memoryless binary symmetric channel is $10^{-5}$. If $10^5$ bits are sent over this channel, then the probability that not more than one bit will be in error is ______________

Consider an air-filled rectangular waveguide with dimensions $a=2.286$ cm and $b=1.016$ cm. At 10 GHz operating frequency, the value of the propagation constant (per meter) of the corresponding propagating mode is ______________

Consider an air-filled rectangular waveguide with dimensions $a=2.286$ cm and $b=1.016$ cm. The increasing order of the cut-off frequencies for different modes is

A radar operating at 5 GHz uses a common antenna for transmission and reception. The antenna has a gain of 150 and is aligned for maximum directional radiation and reception to a target 1 km away having radar cross-section of 3 m². If it transmits 100 kW, then the received power (in µW) is _____________

Consider the charge profile shown in the figure. The resultant potential distribution is best described by