GATE EC 2021: Full Syllabus Rapid Mock-4 (App update required to attempt this test)
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Question 1
Consider two signal x[n] = {1,2, –1} and h[n] = x[n].
The convolution y[n] = x[n] * h[n] is
Question 2
12 MHz clock frequency is applied to a cascaded counter of MOD – 3, MOD – 4 and MOD– 6 counter. The lowest output frequency and the overall MOD value of the cascaded counter are:
Question 3
The maximum power that can be transferred to the RL will be ….. .Watt.
Question 4
An open loop transfer with unity feedback is
Which of the following are valid breakpoints?
Question 5
A potential function V = x2yz + Ay3z volts, satisfies the Laplace’s equation.
The value of ‘A’ is …………………
Question 6
For the density function shown
P (1 < x < 2) is ………… (Upto two decimal place).
Question 7
Mobility of electron in a semiconductor material is at 300 k is 1200 c/v-sec then the mobility at 400 k will be approximately _____________ c/v-sec.
Question 8
Suppose we are given the following five facts about a particular. LTI system S with impulse response h(n) and z transform H(z)
1) h(n) is real
2) h(n) is right sided
3)
4) H(z) has two zeroes
5) H(z) has one of its poles at a non – real location on the circle defined by |z| = ¾
The system S is
Question 9
Consider the circuit shown,
It VTN = 0.8V, Kn1=30μA/v2, if width to length ratios of M1 and M2 arethen the output voltage V0 is _____ V
Question 10
in the system, r(t) = sin
The steady state response c(t) will exhibit a resonance peak at a frequency (in rad/sec) of [write the answer upto two decimal point]
Question 11
The area bounded by the curve y = x2 and y = 1 – x2 is
Question 12
The state of transistor is
(Given β = 150, VBE(sat) = 0.8 V,
VBE(active) = 0.7 V,
VCE(sat) = 0 V
VD for D, D2 = 0.7 V)
Question 13
If on a transmission line of 0.5 mile long measurements are made at 6 GHz. If the line has characteristic impedance and total attenuation of 0.07 NF and phase difference between input and output P = 7° then value of R is ________ (W/mile).
Question 14
If are Y and Z parameters of network, N1 and N2 respectively, and networks and are cascaded then overall transmission parameters will be:
Question 15
An infinite line charge with line charge density 2nC/m is placed along y axis. The electric field vector at (3, –4, 0) is
Question 16
The maximum value of output voltage (in volts) for the circuit shown in figure below, for the input given as
Question 17
In the circuit shown, A and B are the inputs and F is the output. What is the functionality of the circuit?
Question 18
The respective number of left side, right side and imaginary axis lies roots in the equation s6 + 2s5 + 2s4 –s2 – 2s – 2 = 0 are
Question 19
Suppose we are given the following information about a signal x[n].
1) x[n] is a real and then signal.
2) x[n] has period N = 10 and Fourier coefficient aK.
3) a11 = 5
4)
Let x(n) = A cos (Bn + C). Then find the value of A + B + C =
Question 20
Given an uniform electric field in a medium with for ,is incident onto a medium with =4 for Z<0. The electric field for Z<0 is given by
Question 21
Consider the circuit given below, where ‘’ is the voltage across the capacitor ‘2C’ and ‘’ is the Laplace Transform of‘’. Consider the energy stored in the circuit before is zero. Find the values of ‘’ and ‘’ are respectively given by, [Take
Question 22
Find the probability of error for the channel diagram using MAP Algorithm :
Assume P(M0) = 0.3, P(M1) = 0.5, P(M2) = 0.2
Question 23
An F.M. signal which is modulated by a 4kHz sine wave reaches a maximum frequency of 100.01 MHz and minimum frequency of 99.97 MHz, then what is the one side frequency deviation of the signal (in kHz)?
Question 24
If is given that the solution of the differential equation passes through origin. The value of y(2) will be_____
Question 25
In the given circuit, Q1 and Q2 are identical and operates in the active mode such that IC1 = 10IC2 and VT = 26 mV the value of V1 – V2 is _____ mV.
Question 26
A can do 60% of a work in 15 days, whereas B can do 250% of the same work in 45 days. Both work together for 6 days. C completes the remaining work in 12 days. A, B and C together will complete 118% of the same work in:
Question 27
If the variance of is five times the varianceof a stationary zero mean discrete time signal x(n), then value
Question 28
For a n-channel transistor doping is done to reduce threshold voltage from +1.1 V to +0.5 V. Assume that the implanted donar form a sheet of positive ions just below the Si surface, if a beam current of 10 micro A is scanned over a 650 cm2 target area the implant time will be ……. Sec. (oxide thickness is 100 μm ϵr(SiO2) = 3.9)
Question 29
The ratio of petrol and kerosene in the container is 3:2. When 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is: