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GATE 2021: Toppers Quiz-10 (App update required to attempt this test)

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Question 1

The output voltage (V0) of ideal transformer with the polarities and dots shows in fig is given by

Question 2

A non band limited signal x(t) with power spectral density ; f in Hz is passed through an ideal low pass filter with cut off frequency fx Hz. The value of fx to pass atleast 90% of signal power at its output will be ______ × 103 Hz.

Question 3

Electric field equation of a wave is given by

V/m then the polarization of the wave is:

Question 4

For unity negative feedback system having CLTF(closed loop transfer function) given by T(s) = ( s2 + 9s + 16 )/( s4 + s3 – s – 1 ). Number of closed loop poles lying on the jw axis is.

Question 5

Which of the following memory circuit has shortest access time?

Question 6

An intrinsic sample is doped with donors from one side such that. Then the built in electric field at equilibrium over the range for which Nd >> ni when a= m is given as______(mV).

Question 7

For . The value of is _______V(neglect leakage current)

Question 8

Consider the digital filter

Given k=2 if input is Then find y(n)

Question 9

A discrete source transmits message with probabilities 0.4, 0.3, 0.3 respectively. The source is connected to the given channel. Calculate

Question 10

Consider the following block diagram representation of a system

The value of sensitivity of overall transfer function for variation in α of system for

S = -2 and α = 1 will be : ………….. .

Question 11

Total number of NAND gates required to implement functions and will be ________. (You can use some common NAND gates so as to get minimum NAND gates).

Question 12

The coefficient of x2 in series expansion of ex cosx is_____

Question 13

Consider the circuit shown in figure,  = 0.2 mA/V²,  = 0.8 V, the DC operating point(, ) is

Question 14

Consider the signal shown in the figure below

If this signal is applied to an LTI system whose impulse response is h(t) = u(t) – u(t – 1) then value of y(t) at t = 1.5 sec is ______

Question 15

In a circuit below possible value of R (in ohm) for which system is under damped_________

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Apr 12ESE & GATE EC