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GATE 2021: Toppers Quiz-5 (App update required to attempt this test)

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Question 1

The minimum number of 2-input NAND gates required to implement a 2-input XOR gate is

Question 2

If , the energy per bit of a binary digital signal, is 10–6 watt–sec and the one–sided power spectral density of the white noise, N0 = 10–5‑ W/Hz, then the output SNR of the matched filter is

Question 3

A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

Question 4

Choose the correct one from among the alternatives A, B, C, D after matching an item in Group 1 with the most appropriate item in Group 2.
Group 1
P- Ring modulator
Q- VCO (Voltage Controlled Rectifier)
R- Foster–Seely discriminator
S- Mixer
Group 2
1- Clock recovery
2- Demodulation of FM
3- Frequency conversion
4- Summing the two inputs
5- Generation of FM
6- Generation f DSB–Sc

Question 5

A p-n step junction diode with a contact potential of 0.65 V has a depletion width of 1μm at equilibrium. The forward voltage (in volts, correct to two decimal places) at which this width reduces to 0.6μm is _________.

Question 6

In the circuit shown below, the op-amp is ideal, the transistor has and . Decide whether the feedback in the circuit is positive or negative and determine the voltage V at the output of the op-amp.

Question 7

A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this matched filter?

Question 8

Let f(x) = for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which included all powers of x less than or equal to 3.

Question 9

The open-loop transfer function of a dc motor is given as . When connected in feedback as shown below, the approximate value of Ka that will reduced the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is

Question 10

The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a
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Jan 8ESE & GATE EC