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GATE 2020:Topper's Quiz-9 (App update required to attempt this test)

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Question 1

A signal m(t) is band limited to ωm . It is frequency translated by multiplying it by signal cosωct. Find ωc so that the bandwidth of transmitted signal is 1 percent of the carrier frequency ωC.

Question 2

The 9’s compliment for the decimal number 7543 is

Question 3

A system described by the transfer function
is stable. The constraints α and k are.

Question 4

The open loop transfer function of a unity feedback system is

The corner frequency are

Question 5

An amplifier in open loop has an amplification gain of -100.If the amplifier is used with feedback and 5% part of the output is given back to the negative feedback circuit. Then the overall gain of the feedback circuit is____

Question 6

In standard TTL gates, the totem pole output stage is primarily used to

Question 7

A source produces 32 equiprobable symbols, Average entropy of the source (in bits/symbol) would be____.

Question 8

Minimum number of 2 input NAND gates required to implement the logic function F = A + B + C+ D are _______.

Question 9

In the voltage controller circuit shown in the figure (assume that op-amp is ideal). The BJT has VBE=0.7V & is very large and VZ =4.7V. For a regulated output of 9.4 V, the value of R (in kΩ) is _____

Question 10

If the skin depth is 60 µm at 3 MHz in a certain conducting medium then what will be the skin depth if the frequency is changed to 27 MHz?

Question 11

Which of the following is the valid PSD (power spectral density) of random process X(t)

Question 12

The electric field strength incident on a half-wave dipole antenna in free space having a directivity of 1.56 is 9 mV/m at 50 MHz. The maximum power received by the antenna is given by

Question 13

The natural frequency of an undamped second-order system is 40 rad/s. If the system is damped with a damping ratio 0.3, the damped natural frequency in rad/s is ________.

Question 14

For a random variable ‘X’ following the probability density function, P(X), shown in the figure, the mean and the variance are respectively.

Question 15

The root locus of the system has the break–away point located at
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Feb 16ESE & GATE EC