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GATE 2022 Rapid Revision Quiz 2

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Question 1

find the inverse Laplace Transforms L-1{}

Question 2

For open circuited diode which of the following is valid?

Question 3

For the signal x(t) = 2(t – 1) u (t – 1) – 2(t – 2) U (t – 2) The value x(1.5) _________(up to two decimal points)

Question 4

The relation between vector magnetic potential  and magnetic density  can be expressed as :

Question 5

Find the output-voltage if op-amp is ideal?

Question 6

A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with . The reflection coefficient for the normal incidence, is

Question 7

Consider a circuit shown in figure, If IREF = 2mA, VDD = 3V, Vth, = 0.4V,
Kn' =400 micro Ampere/voltand


to generate, output current. I0 = 10mA, ratio of (W/L)2 is ……… .(rounded up to two decimal value)

Question 8

Two random variables x and y have correlation coefficient 0.3. x has mean of 6 & variance of 16. Y has mean 7 and variance of 25. If variable z is defined as z = x + y, then E[yz] will be _________.
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Jan 13ESE & GATE EC