Electronics And Communication - ECE 2020 GATE Paper (Practice Test) - Electronics and Communication Engineering (ECE) MCQ

The following figure shows the data of students enrolled in 5 years (2014 to 2018) for two schools P and Q. During this period, the ratio of the average number of the students enrolled in school P to the average of the difference of the number of students enrolled in schools P and Q is ________ .​

a, b, c are real numbers. The quadratic equation ax²- bx + c = 0 has equal roots, which is β, then

The untimely loss of life is a cause of serious global concern as thousands of people get killed ______ accidents every year while many other die _______ diseases like cardio vascular disease, cancer, etc.

It is quarter past three in your watch. The angle between the hour hand and the minute hand is _________.

A circle with centre O is shown in the figure. A rectangle PQRS of maximum possible area is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion is _________ .

The global financial crisis in 2008 is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in USA in 2007. The subprime lending crisis led to the banking crisis in 2008 with the collapse of Lehman Brothers in 2008. The sub-prime lending refers to the provision of loans to those borrowers who may have difficulties in repaying loans, and it arises because of excess liquidity following the East Asian crisis.
Which one of the following sequences shows the correct precedence as per the given passage?

He was not only accused of theft_______of conspiracy.

The current in the RL-circuit shown below is i(t) = 10 cos ( 5t - π/4)A The value of the inductor (rounded off to two decimal places) is ________ H.

In the given circuit, the two-port network has the impedance matrix [Z] = 
The value of Z_L for which maximum power is transferred to the load is Ω.

If v₁, v₂, v₆ are six vectors in R⁴, which one of the following statements is False?

The loop transfer function of a negative feedback system is

The value of K, for which the system is marginally stable, is__________.

The partial derivative of the function

with respect to x at the point (1, 0, e) is 

The random variable

and W(t) is a real white Gaussian noise process with two-sided power spectral density S_w(f) = 3 W/Hz, for all f. The variance of Y is _________.

For a vector field  which one of the following is False?

A transmission line of length 3λ/4 and having a characteristic impedance of 50 Q is terminated with a load of 400 Ω. The impedance (rounded off to two decimal places) seen at the input end of the transmission line is _________ Ω.

A 10-bit D/A converter is calibrated over the full range from 0 to 10 V. If the input to the D/A converter is 13A (in hex), the output (rounded off to three decimal places) is ________ V.

The pole-zero map of a rational function G(s) is shown below. When the closed counter r is mapped into the G(s)-plane, then the mapping encircles.​

In the circuit shown below, all the components are ideal. If V/. is +2 V, the current I₀ sourced by the op-amp is _________mA.

The two sides of a fair coin are labelled as 0 and 1. The coin is tossed two times independently. Let M and N denote the labels corresponding to the outcomes of those tosses. For a random variable X, defined as X = min{M, N), the expected value E(X) (rounded off to two decimal places) is ________ .

A single crystal intrinsic semiconductor is at a temperature of 300 K with effective density of states for holes twice that of electrons. The thermal voltage is 26 mV. The intrinsic Fermi level is shifted from mid-bandgap energy level by

The output y[n] of a discrete-time system for an input x[n] is

The unit impulse response of the system is

A binary random variable X takes the value +2 or -2. The probability P{X = +2) = α.
The value of α (rounded off to one decimal place), for which the entropy of X is maximum, is _________.

In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output V₀ (rounded off to two decimal places) is ________ V.

Consider the recombination process via bulk traps in a forward biased pn homojunction diode. The maximum recombination rate is U_max. If the electron and the hole capture cross-section are equal, which one of the following is False?

The general solution of  is

In an 8085 microprocessor, the number of address lines required to access a 16 K byte memory bank is _________.

The impedances Z = jX, for all X in the range (-∞,∞), map to the Smith chart as