Electronics And Communication (Set 1) - ECE 2017 GATE Paper (Practice Test) - Electronics and Communication Engineering (ECE) MCQ

Consider the 5 × 5 matrix

It is given that A has only one real eigen value. Then the real eigen value of A is

The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance isvolts, Where ℓ is the distance along the length of the cable in meters. γ = (0.1 + j40)m^-1 is the complex propagation constant, and rad s is the angular frequency. The absolute value of the attenuation in the cable in dB/meter is __________.

A bar of Gallium Arsenide (GaAs) is doped with Silicon such that the Silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of the following statement is true?

The rank of the matrix 

For a narrow base PNP BJT, the excess minority carrier concentration (Δn_E for emitter, Δp_B for base.Δn_C for collector) normalized to equilibrium minority carrier concentration (n_E0 for emitter, p_B0 for base, n_C0 for collector) in the quasi-neutral emitter, base and collector regions are shown below. Which one of the following biasing modes is the transistor operating in?

The Miller effect in the context of a Common Emitter amplifier explains

Consider the D-Latch shown in the figure, which is transparent when its clock input CK is high and has zero propagation delay. In the figure, the clock signal CLK1 has a 50% duty cycle and CLK2 is a one-fifth period delayed version of CLK1. The duty cycle at the output latch in percentage is ___________.

Which of the following can be pole-zero configuration of a phase-lag controller (lag compensator)?

In the latch circuit shown, the NAND gates have non-zero, but unequal propagation delays. The present input condition is: P = Q = ‘0’. If the input condition is changed simultaneously to P = Q = ‘1’, the outputs X and Y are

Three fair cubical dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place) __________.

A periodic signal x(t) has a trigonometric Fourier series expansion

 we can conclude that

The open loop transfer function 
Where p is an integer, is connected in unity feedback configuration as shown in figure.

Given that the steady state error is zero for unit step input and is 6 for unit ramp input, the value of the parameter p is _________.

An n⁺ - n Silicon device is fabricated with uniform and non-degenerate donor doping concentrations ofcorresponding to the n + and n regions respectively. At the operational temperature T, assume complete impurity ionization, kT/q = 25 mV, and intrinsic carrier concentration to be . What is the 
magnitude of the built-in potential of this device?

For the operational amplifier circuit shown, the output saturation voltages are ±15V. The upper and lower threshold voltages for the circuit are, respectively.

In the circuit shown, the positive angular frequency ω (in radians per second) at which magnitude of the phase difference between the voltages V1 and V2 equals  is 
__________.

In a digital communication system, the overall pulse shape p(t) at the receiver before the sampler has the Fourier transform P(f). If the symbols are transmitted at the rate of 2000 symbols per second, for which of the following cases is inter symbol interference zero?

Consider a stable system with transfer function

Where are real valued constants. The slope of the Bode log magnitude curve of G(s) converges to -60 dB decade as A possible pair of values for p and q is

A good transconductance amplifier should have

Let (X₁ , X₂) be independent random variables. X₁ has mean 0 and variance 1, while X₂ has mean 1 and variance 4. The mutual information I (X₁; X₂) between X₁ and X₂ in bits is 

Consider the following statements for continuous-time linear time invariant (LTI) systems.
I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.

Which one among the following is correct?

Which one of the following statements about differential pulse code modulation (DPCM) is true?

Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of the transmitter and the receiver antennas, and the distance between them are all doubled, and everything else remains unchanged, the maximum capacity of the wireless link

Starting with x = 1, the solution of the equation x³ + x = 1, after two iterations of NewtonRaphson’s method (up to two decimal places) is _________.

In binary frequency shift keying (FSK), the given signal waveform are

Where T is the bit-duration interval and t is in seconds. Both u₀ (t) and u₁ (t) are zero outside the interval . With a matched filter (correlator) based receiver, the smallest positive value of T (in milliseconds) required to have u₀ (t) and u₁ (t) uncorrelated is

For the DC analysis of the Common-Emitter amplifier shown, neglect the base current and assume that the emitter and collector current are equal. Given that V_T = 25mV, V_BE = 0.7V, and the BJT output resistance r₀ is practically infinite. Under these conditions, the midband voltage gain magnitude. , is _________.

The figure shows an RLC circuit exited by the sinusoidal voltage 100 cos (3t) volts, where t is in seconds. 

Which one of the following is the general solution of the first order differential equation   = (x + y - 1)², where x, y are real?