Electronics & Communication Gate Yearwise
Electronics and Communication GATE 2015 Set-1 Questions with Answer
Ques 1 Electronics and Communication Engineering
Consider a system of linear equations:
x − 2y + 3z = 1,
x − 3y + 4z = 3,
−2x + 4y − 6z = k.
The value of k for which the system has infinitely many solutions is
2 is the correct answer.
Ques 2 Electronics and Communication Engineering
A function f(x) = 1 − x2 + x3 is 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
Ques 3 Electronics and Communication Engineering
Suppose A and B are two independent events with P(A) ≠ 0 and P(B) ≠ 0. Let A' be the event defined by A' = A. Which one of the following statements is FALSE?
Ques 4 Electronics and Communication Engineering
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?
Ques 5 Electronics and Communication Engineering
The value of p such that the vector
is an eigenvector of the matrix
is
16.5 to 17.5 is the correct answer.
Ques 6 Electronics and Communication Engineering
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is
24 to 26 is the correct answer.
Ques 7 Electronics and Communication Engineering
In the network shown in the figure, all resistors are identical with R=300 Ω. The resistance Rab (in Ω) of the network is
99.5 to 100.5 is the correct answer.
Ques 8 Electronics and Communication Engineering
In the given circuit, the values of V1 and V2 respectively are
Ques 9 Electronics and Communication Engineering
A silicon sample is uniformly doped with donor type impurities with a concentration of 1016 cm−3. The electron and hole mobilities in the sample are 1200 cm2/V-s and 400 cm2/V-s respectively. Assume complete ionization of impurities. The charge of an electron is 1.6 × 10−19 C. The resistivity of the sample (in Ω-cm) is
0.50 to 0.54 is the correct answer.
Ques 10 Electronics and Communication Engineering
For the circuit with ideal diodes shown in the figure, the shape of the output (vo) for the given sine wave input (vi) will be
Ques 11 Electronics and Communication Engineering
In the circuit shown below, the Zener diode is ideal and the Zener voltage is 6 V. The output voltage Vo (in volts) is
5 is the correct answer.
Ques 12 Electronics and Communication Engineering
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 3 V source to charge the 0.1 μF capacitor from 0 V to 3 V is
Ques 13 Electronics and Communication Engineering
In an 8085 microprocessor, the shift registers which store the result of an arithmetic operation and the overflow bit, respectively, are
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