Electronics And Communication - ECE 2015 GATE Paper (Practice Test) - Electronics and Communication Engineering (ECE) MCQ

Choose the word most similar in meaning to the given word: ( educe)

If log_x (5/7) = –1/3, then the value of x is

Q. 6 -10 Carry Two mark each

Q.

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit; Find the proportion of
the number of faces of the smaller cubes visible to those which are NOT visible.

The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective sentence.
Tuberculosis, together with its effects, "ranks one of the leading causes of death" in India.

Humpty Dumpty sits on a every day while having lunch. The wall sometimes breaks. A person
sitting on the wall falls if the wall breaks.
Which one of the statements below is logically valid and can be inferred from the above
sentences?

Find the missing Value:

Read the following paragraph and choose the correct statement.
Climate change has reduced human security and threatened human well being. An ignored reality
of human progress is that human security largely depends upon environmental security. But on the
contrary, human progress seems contradictory to environment security. To keep up both at the
required level is a challenge to be addressed by one and all. One of the ways to curb the climate
change may be suitable scientific innovations, while the other may be the Gandhian perspective on
small scale progress with focus on sustainability.

Q. No. 11 – 35 Carry One Mark Each

Q.

A region of negative differential resistance is observed in the current voltage characteristics
of a silicon PN junction if

A silicon sample is uniformly doped with donor type impurities with a concentration of
10¹⁶ / cm³ . The electron and hole mobilities in the sample are
1200cm³ / V-s and 400cm² / V-s respectively. Assume complete ionization of impurities.
The charge of an electron is  1.6x 10^-19 C.  The resistivity of the sample (in ?- cm) is _____________.

A unity negative feedback system has the open-loop transfer function 

The value of the gain K (>0) at which the root locus crosses the imaginary axis is
_________________.

Suppose A and B are two independent events with probabilities   be their complements. Which one of the following statements is FALSE?

The waveform of a periodic signal x(t) is shown in the figure

A signal g(t) is defined by . The average power of g(t) is
__________________.

In the network shown in the figure, all resistors are identical with R = 300?. The resistance
R_ab (in ?) of the network is___________.

Consider a system of linear equations:
x − 2 y + 3z = −1,
x − 3y + 4z = 1, and
−2x + 4 y − 6z = k.
The value of k for which the system has infinitely many solutions is ______.

The polar plot of the <transfer function   for 0 ω  < ∞ will be in the

Let z = x + iy be a complex variable. Consider that contour integration is performed along
the unit circle in anticlockwise direction. Which one of the following statements is NOT
TRUE?

Consider the signal  where mˆ t denotes the Hilbert
transform of m(t) and the bandwidth of m(t) is very small compared to  f_c . The signal s(t) is a

For the circuit with ideal diodes shown in the figure, the shape of the output (vout) for the
given sine wave input   (v_in) will be

The result of the convolution x(-t) *δ(-t-t₀) is

The value of p such that the vector is an eigenvector of the matrix  is

In the given circuit, the values of  V₁ and V₂ respectively are

In an 8085 microprocessor, the shift registers which store the result of an addition and the
overflow bit are, respectively

Negative feedback in a closed-loop control system DOES NOT

A 16 Kb (=16,384 bit) memory array is designed as a square with an aspect ratio of one
(number of rows is equal to the number of columns). The minimum number of address lines
needed for the row decoder is ___________________.

A function f(x) = 1- x²+x³is defined in the closed interval [-1, 1]. The value of x, in the
open interval (-1, 1) for which the mean value theorem is satisfied, is

The electric field component of a plane wave traveling in a lossless dielectric medium is
given by 

The wavelength (in m) for the wave is

In the circuit shown, the switch SW is thrown from position A to position B at time t = 0. The energy (in μJ) taken from the 3V source to charge the 0.1μF capacitor from 0V to 3V is