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GATE 2021: Toppers Quiz-20 (App update required to attempt this test)

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Question 1

The 6 V zener diode is shown in figure. It has zero zener resistance and a knee current of 5 mA. The minimum value of R so that the voltage across it does not fall below 6 V is

Question 2

If the Fourier coefficient of a periodic signal is which of the following statements about the signal (t) is correct

Question 3

The probability that two friends share the same birth-month is

Question 4

The reverse saturation current density and photo current density of a solar cell are 3.6 × 10–11 A/cm2 and 15 mA /cm2 respectively. The open circuit voltage of a solar cell is ________ V.

(Assume thermal voltage VT = 26 mV)

Question 5

Consider the waveform shown below:

If the input is a 100V peak square wave with a period of 20 ms. The output is so designed that it has a maximum value of 25 and minimum of –175V at the steady state, then the circuit which can perform this function can be represented as

Question 6

The DC coefficient (a0) of the CTFS of signal x(t) shown in figure is ________.


Question 7

Consider the configuration shown in the figure which is a portion of a larger electrical network
2019-09-23.png (747×680)
 
For and currents i1=2A, i4=-1A, i5=-4A which one of the following is TRUE?

Question 8

For the super-heterodyne receiver having two IF amplifier having IF frequencies as and, the radio frequency is 10 KHz. Find the image rejection ratio (in dB), assuming Q = 120 and the frequency of local oscillator used is greater than ratio frequency.

Question 9

Suppose we have a hertzian dipole that is 0.02m. Now, determine the current that is required to radiate a power equal to 200W.(Given f= 100MHz)

Question 10

The transfer function of the system described by

with u(t) as input and y(t) as output is

Question 11

x(t) and h(t) are shown in the figure below.

Then x(t)*h(t) will be  when

Question 12

Consider the following network

Find |ZL| for maximum power transfer __________

Question 13

A message signal periodic with T applied to an AM modulator with modulation index 0.5 .The modulation efficiency will be___________(in %)

Question 14

A short–circuited stub is shunt connected to a transmission line as shown in figure. If ohm, the admittance Y seen at the junction of the stub and the transmission line is

Question 15

G(s) = (s+a)/(s+b) is a lead controller to obtain maximum phase lead of 30⁰. The values of a and b are

Question 16

A DAC uses BCD input code (D1C1B1A1 D0C0B0A0) to produce an output ranging from 00 to 99 as shown :-

If the weight of A0 is 0.8V, find the percentage resolution and value of output for input BCD code 01100100.

Question 17

As x is increased from –∞ to ∞, the function

Question 18

Let the open loop transfer function of a positive feedback closed loop system be ,where K is a non-positive real valued parameter. Consider the corresponding locus of closed loop poles, the value of K at the break away point is ______ (Rounded up to two decimal value)

Question 19

11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?

Question 20

Let for some a, b R. Suppose that 1 and 2 are eigen values of A and
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Jan 23ESE & GATE EC