GATE 2022 Toppers Weekly Quiz 1

For the ideal OP-amp based circuit shown below, find the output waveform for the input waveform shown below.

The message signal DSB-SC modulates the carrier signal c(t) = 10 cos(3200t). Find average power of modulated signal.

The nyquist plot for control system is shown below, the type of system is

In the following digital circuit the worst case delay of FFs is 50 n sec and the OR gate has delay of 10 n sec.

The maximum clock frequency of the circuit to operate is–

A 1^st order unity feedback control system subjected to unit step function then the time at which error function equal to response function.

A channel is used to transmit signal , with the constellation diagram given below . the symbols s1,s2,s3,s4 having probabilities 0.25 , 0.5 , 0.125 , 0.125 respectively then find average normalized energy of signal with these probabilities and if they have equal probabilities

A uniformly doped silicon bar of length L = 1 μm is illuminated at x = 0 such that electron and hole pairs are generated at the rate of,

GL = GLo

Where GLo =

The hole density at x = 0.75 μm of semiconductor is found that, then the time required (in μs) for hole before it recombines with electron at the distance x = 0.75 μm of semiconductor bar is

For the circuit shown below in figure, β = 200 and V_BEactive = 0.7 V for each transistor and both transistors are identical. The value of collector voltage ( V_C1) of transistor Q₁ is (in volt)

A binary PAM communication system employs rectangular pulse of duration T_b and amplitudes +A to transmit digital transmission information at a rate R_b = 10⁵ bps. If power-spectral density of AWGN is N_o/2 where N_o = 10^–2 W/Hz, determine the value of A that is required to achieve a probability of error P_e = 10^–6

Assume Q(4.5) ≈ 10^–6