GATE 2020:Topper's Mini Mock Quiz-4 (App update required to attempt this test) for ESE & GATE EC Exams

Question 1

The diode in the circuit given below has V_ON = 0.7 V but is ideal otherwise. The current (in mA) in the 4kΩ resistor is______ mA
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Question 2

Refer the following figure to find the value of output voltage if R₁=R₂=2kΩ and R_f=20kΩ and R₃=10kΩ. Also, R_L=5kΩ. Assume V₂=20V and V₁=10V.

Question 3

The transistor used has β₀ = 100, r_π = 1KΩ and r₀ = ∞

given i(t) = 200Hz, square wave , determine the percentage tilt in the output?

Question 4

Consider the common emitter amplifier shown below with the following circuit parameters:
β =100, g_m = 0.3861 A/V, r₀ = ∞, r_p = 259 W, R_S = 1kΩ,
R_B = 93KΩ, R_C = 250Ω, R_L=1kΩ, C₁=∞ and C₂ = 4.7μF.

The resistance seen by the source Vs is

Question 5

In the given below circuit, if cut in voltage of each diode is 0.7V, then plot transfer characteristics V_D1 vs V_s.

Question 6

Find the number of samples in the fundamental period of the signal x (n) = e ^j11^π^n/3

Question 7

The periodic signal f(t) with period 2π and defined for one period as, f(t) = t – t² from t = –π to t = π

Then find the value of

Question 8

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 9

The rank of the matrix

is?

Question 10

A super heterodyne receiver uses an IF frequency of 455 kHz. The receiver is tuned to a transmitter having a carrier frequency of 2400 kHz. High – side tuning is to be used. The image frequency will be _ _ _ _ _ _ _ _ kHz.

Question 11

Which of the following is a constant loss?

Question 12

A speech signal, band limited to 4kHz and peak voltage varying between +5V and -5V is sampled at the Nyquist rate. Each sample is quantized and represented by 8 bits.

The number of quantitization levels required to reduce the quantization noise by a factor of 4 would be

Question 13

Consider the circuit given below

The switch k₁ is kept at position A and switch k₂ was closed for a long time. At t = 0 switch k₁, is moved to position B and k₂ is opened. The voltage V_L across 6 H inductor at t = 0⁺ is _______ V.

Question 14

The transfer function of a PID controller is given by G(s) = 10[1+

+2s] as ω tends to zero

Question 15

In a class of 40 students, 45% are girls and the remaining are boys. If the average of the girls’ marks is 54 and that of the boys is 46, what is the average of the whole class?

Question 16

If (√2 + √5 − √3)k = −12, then what will be the value of k ?

Question 17

A phase shift keying system suffers from imperfect synchronization. If the probability of bit error for the PSK and DPSK system are given by

P_e(PSK) = P_e(DPSK) = 10^-5

Then, the phase error of the PSK system equals ----------degree.

[Assume Q(4.27) = 10 ^-5]

Question 18

A two-port network has scattering parameters given by

. If the port-2 of the two-port is short circuited, the s₁₁ parameter for the resultant one-port network is

Question 19

The driving point impedance of the following network

is given by

. The component values are

Question 20

Transmission is said to be distortion less if it satisfies the condition,

Question 21

Which of the following statements describes the behaviour of an Integral Controller?

Question 22

Linear combinations of complex exponentials

is used to represent the Fourier series expansion of any signal because,

Question 23

The sides of a triangle are 11 cm, 60 cm and 61 cm. What is the radius of the circle circumscribing the triangle?

Question 24

The speed of motor-boat to that of current of water is 48 : 17. The boat goes along with the current in 5 hours 10 minutes. It will come back in –

Question 25

Where,

The overall impulse response of the system i.e. is

The value of A is ________.

Question 26

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 27

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 28

Find frequency of pulse at z in network

Question 29

Given the Z-Transform of a signal

as,

The Z-Transform of , where are constants is given by,

The value of is __________.

Question 30

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 31

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 32

The point of intersection of the curves 3x³ + 2x² + 8x – 5 = 0 and 2x³ + 3x + 2 = 0 is calculated by using Newton-Rapson’s method. The value of x at intersection correction upto 2 decimal places is approximately.

Question 33

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 34

The matrix

has det A = 100 and trace A=14
The value of

is?

Question 35

In the system shown below, x(t) = (sint) u (t). In steady-state, the response y(t) will be