GATE 2021: Toppers Mini Mock Quiz 2 (App update required to attempt this test)
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Question 1
An FM signal with a deviation δ is passed through a mixer and has its frequency reduced fivefold. The deviation in the output of the mixer is
Question 2
The transfer function of a PID controller is given by G(s) = 10[1++2s] as ω tends to zero
Question 3
The matrix has det A = 100 and trace A=14 The value of is?
Question 4
In the given below circuit, if cut in voltage of each diode is 0.7V, then plot transfer characteristics VD1 vs Vs.
Question 5
An analog signal with a bandwidth of 4.2 MHz is to be converted into binary PCM and transmitted over a channel. The peak signal quantizing noise ratio must be at least 55 dB.
If there is no bit error and no inter symbol interference, what will be the number of quantizing steps needed?
Question 6
An analog signal with a bandwidth of 4.2 MHz is to be converted into binary PCM and transmitted over a channel. The peak signal quantizing noise ratio must be at least 55 dB.
What will be the channel bandwidth required if rectangular pulse shapes are used?
Question 7
For the polynomial P(s) = s5 + s4 + 2s3 + 2s2 + 3s + 15, the number of roots which lie in the right half of the s-plane is
Question 8
A silicon n+ P junction solar cell has a surface area of 1 cm2 and acceptor concentration Na = 1015 cm–3 in the base region. Assume diffusion coefficient of electrons Dn = 35 cm2 sec–1, carrier lifetime of electrons, tn= 2.57 μsec, and electron–hole pair generation rate (GL= 2.7 × 1019 cm–3 sec–1). Then the open circuit voltage (VOC) of the solar cell is ________ V.
(Assume VT = 26 mV, ni = 1.5 × 1010 cm–3 neglect the contribution of n+ region and depletion region).
Question 9
A bipolar transistor has ICBO = 0.5 mA, common base current gain = 0.98 and emitter current IE = 2mA . Then the trans conductance of the transistor is _______ m.
(Assume VT = 26 mV and ղ= 1)
Question 10
A two port network is characterized by the following equations: 3V1 - I1 + 4I2 = 0 4I1 + 2I2 - 6V1 = 5V2 The y - parameter y21 will be ___________.
Question 11
Two AC sources feed a common variable resistive load as shown in figure below
The maximum power that can be transferred to a variable load RL is _______ W.
Question 12
If the number of bits in a PCM system is increased from n to n+ 1, the signal-to-quantization noise ratio will increase by a factor.
Question 13
Find the average conversion time(in μs) required for the counter – type
ADC (5 – bit) and frequency of clock = 5 MHz
Question 14
Determine the frequency of given circuit (in Hz)
Question 15
Consider the causal discrete time system shown below, minimum magnitude of K for which system become unstable is
Question 16
If the diode in the circuit shown below is ideal, the current ID will be
Question 17
A narrow band FM signal approximately defined by If the maximum and minimum value of its envelope is given by 9.5 and 4.2 respectively then the value ofis __________.
Question 18
Direction: A communication channel of bandwidth 100 kHz is to be used for transmission of an analog source m(t), where | m(t)| < 1. The bandwidth of message signal is W = 4 kHz and power content of the message signal is 0.1 W.
The ratio of the output SNR of an FM system that utilizes the whole bandwidth, to the output SNR of an conventional AM system with a modulation index of 0.85 is
Question 19
Direction: A communication channel of bandwidth 100 kHz is to be used for transmission of an analog source m(t), where | m(t)| < 1. The bandwidth of message signal is W = 4 kHz and power content of the message signal is 0.1 W.
If an FM system and PM system are employed and these system have the same output signal to noise ratio, then the ratio of bandwidth of PM signal to that of the FM signal would be
Question 20
Given a vector field
If the vector field is solenoidal, then the value of k2+5 will be
Question 21
The electric field intensity in free space is given by
The amount of work necessary by the field to move a 2.5 μC charge from (2, 1, 1) to (5, 1, 2) is ______.(Choosing path (2, 1, –1) to (5, 1, –1) to (5, 1, 2)
Question 22
Given, . Find the value of ‘n’ such that the given fields satisfy the Maxwell equations.
Question 23
Consider the following network.
The value of magnitude of current I is
Question 24
In figure, the value of R is
Question 25
In the circuit below, the value of current Ix is ……………………
Question 26
The contour integral
is evaluated aroundin the anti-clockwise direction is:
Question 27
Let μ=10-5H/m, ϵ= 4 ×10-9F/m, σ =0 and ρV = 0. Find K so that D = 6ax – 2ay + 2zaz nC/m2 and H = kxax – 10yay - 25 zaz A/m satisfies Maxwell’s equations.
Question 28
Which of the following equation is the integral form of the given Maxwell equation?
Question 29
A system is described by following equation A steady state error due to step input is:
Question 30
Consider the system given below.
Find the steady state error due to unit step input is ______?
Question 31
The figure shows part of a signal x(t) and its odd part x0(t), for only, that is x(t) and x0(t) are not given for t < 0
The complete odd part x0(t) of the signal will be
Question 32
The figure shows part of a signal x(t) and its odd part x0(t), for only, that is x(t) and x0(t) are not given for t < 0
The complete even part xe(t) of the signal x(t) is.
Question 33
A and B throw alternatively a pair of dice. A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A throws 6. If A starts the game, then the probability that B wins the game is
Question 34
A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters?
Question 35
“Even though there is a vast scope for its __________, tourism has remained a/an __________ area.” The words that best fill the blanks in the above sentence are