# GATE 2021: Toppers Mini Mock Quiz 3 (App update required to attempt this test)

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Question 1

Question 2

ADC (5 – bit) and frequency of clock = 5 MHz

Question 3

Question 4

The corresponding displacement current density vector J_{d} in the medium is

Question 5

Question 6

_{v}= 40 has negative “voltage series feedback”. The voltage gain with feedback A

_{vf}= 8. If R

_{i}= 1kΩ and R

_{o}= 50kΩ, the values of these with feedback i.e. R

_{if}and R

_{of}respectively are

Question 7

Question 8

The mid corner frequency is _______rad/sec

Question 9

^{+}n abrupt Junction diode, the doping Concentration in the n-region is 2 × 10

^{15}/cm

^{3}. If the critical field at Avalanche Breakdown is 2 × 10

^{5}v/cm, then the breakdown village will be approximately

Question 10

The intermediate frequency of receiver is 450 KHz. If the maximum frequency of modulating signal is 7 KHz, find minimum bandwidth (in kHz) required by IF Amplifier of receiver

Question 11

_{c}= 57 µS/m ,µ

_{r}= 1 and radius a = 1 mm.

Question 12

Question 13

_{out}= 0.2 V for a digital input of 0001. Find the value of V

_{out}for an input of 11111.

Question 14

Question 15

Question 16

If open loop gain of the amplifier is 10^{4}, and R_{in} = 10^{5} Ω and R_{o} = 1 kΩ so, value of is _____.

Question 17

_{5}= 40 rad/sec using a unit impulse train. The sampled signal is filtered with an ideal lowpass filter with unity gain and cut off frequency ω

_{c}= 40 rad/sec.

The resulting output is:

Question 18

_{L}= jR

_{L}, Where R

_{L}= k.R

_{0}and R

_{0}= characteristic impedance of line.

Then k = _________? (positive value of k)

Question 19

The probability is

Question 20

Question 21

The state matrix A is equal to

Question 22

_{1}(t) * x

_{2}(t). If x

_{1}(t) = 2cos(4t) u (t) & x

_{2}(t) = sin(2t) u (t). Then the value of y(t) a is ______

Question 23

**F(x,y) = x**and

^{2}+ y^{2}– 8 = 0**G(x,y) = x**with initial approximation of

^{2}- xy – 6 = 0**x**and

_{0}= 1**y**. i.e;

_{0}= 1**x**and

_{1}= ?**y**

_{1}= ?Question 24

_{2}, if V

_{t}= 1 volt,

Question 25

**=**

*u***sin**(

^{-1}**x**then what is the value of

^{2}y^{2}/ x + y )**U**

_{xx}+ 2U_{xy}+ U_{yy=}Question 26

If the velocity error constant k_{v} = 60 and the damping ratio = 0.6 then value of k_{p} + k_{D} =

Question 27

**Direction:**Study the following information carefully and answer the questions given below.

Samsung mobile company has manufactured total 300000 mobiles of six different models S1, S2, S3, S4, S5 and S6 in years 2016 and 2017

Following graphs shows the percentage of six models manufactured by Samsung in 2016 and 2017

Ratio of the total number of mobiles manufactured by Samsung in 2016 to 2017 is 2:3

Find the total number of mobiles of model S2 manufactured in 2016 and S4 manufactured in 2017

Question 28

_{1}(t) and S

_{2}(t) that are orthogonal to each other over the interval 0

__<__t

__<__3T. The received signal is defined by

x(t) = S_{k} (t) + ω(t), 0 __<__ t __<__ 3T

k = 1, 2

where ω(t) is white Gaussian noise of zero mean and power spectral density N_{0}/2.

Given erfc(1.414) = 0.045

Calculate the average probability of symbol error incurred by this receiver for where E is the signal Energy,

Question 29

Question 30

_{o}a

_{x}wb/m

^{2}The loop rotates at a frequency of 50 Hz about cuts the flux lines, and at time t = 0, it is at t = 1 msec, in mA is ________. (B

_{o}= 50 m Wb/m

^{2})

Question 31

Question 32

_{m}= 6 m and very high r

_{d}. The magnitude of voltage gain |A

_{v}| is____________.

Question 33

Question 34

Question 35

P(A, B, C, D, E) = Σm (0, 2, 8, 10, 16, 18, 24, 26)

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ESE & GATE ECGeneral