Electronics and Communication Gate 2016 Set-2 Questions with Answer

Ques 53 GATE 2016 SET-2

An 8 Kbyte ROM with an active low Chip Select input (CS) is to be used in an 8085 microprocessor based system. The ROM should occupy the address range 1000H to 2FFFH. The address lines are designated as A₁₅ to A₀, where A₁₅ is the most significant address bit. Which one of the following logic expressions will generate the correct CS signal for this ROM?

A₁₅+A₁₄+(A₁₃·A₁₂+A₁₃·A₁₂)

A₁₅·A₁₄·(A₁₃+A₁₂)

A₁₅̄·A₁₄̄·(A₁₃·A₁₂̄+A₁₃̄·A₁₂)

A₁₅̄+A₁₄̄+A₁₃·A₁₂

(a) is the correct answer.

Ques 54 GATE 2016 SET-2

In the circuit shown below, V_S is a constant voltage source and I_L is a constant current load.

The value of I_L that maximizes the power absorbed by the constant current load is

V_S/4R

V_S/2R

V_S/R

∞

(b) is the correct answer.

Ques 55 GATE 2016 SET-2

The switch has been in position 1 for a long time and abruptly changes to position 2 at t=0.

If time t is in seconds, the capacitor voltage V_C (in volts) for t>0 is given by

4(1-exp(-t/0.5))

10-6exp(-t/0.5)

4(1-exp(-t/0.6))

10-6exp(-t/0.6)

(d) is the correct answer.

Ques 56 GATE 2016 SET-2

The figure shows an RLC circuit with a sinusoidal current source.

At resonance, the ratio |I_L|/|I_R|, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is

(0.316) is the correct answer.

Ques 57 GATE 2016 SET-2

The z-parameter matrix for the two-port network shown is [[2jω,jω],[jω,3+2jω]] where the entries are in Ω. Suppose Z_b(jω)=R_b+jω.

Then the value of R_b (in Ω) equals

(3) is the correct answer.

Ques 58 GATE 2016 SET-2

In the given circuit, each resistor has a value equal to 1 Ω.

What is the equivalent resistance across the terminals a and b?

1/6 Ω

1/3 Ω

9/20 Ω

8/15 Ω

(d) is the correct answer.

Ques 59 GATE 2016 SET-2

In the circuit shown in the figure, the magnitude of the current (in amperes) through R₂ is __________.

(5) is the correct answer.

Ques 60 GATE 2016 SET-2

The switch S in the circuit shown has been closed for a long time. It is opened at time t=0 and remains open after that. Assume that the diode has zero reverse current and zero forward voltage drop. The steady state magnitude of the capacitor voltage V_C (in volts) is

(100) is the correct answer.

Ques 61 GATE 2016 SET-2

Two random variables X and Y are distributed according to

The probability P(X+Y≤1) is

(0.33) is the correct answer.

Ques 62 GATE 2016 SET-2

Consider a random process X(t)=3V(t)-8, where V(t) is a zero mean stationary random process with autocorrelation R_v(τ)=4e^-5|τ|. The power in X(t) is

(100) is the correct answer.

Ques 63 GATE 2016 SET-2

The energy of the signal x(t)=sin(4πt)/(4πt) is

(0.25) is the correct answer.

Ques 64 GATE 2016 SET-2

A continuous-time filter with transfer function H(s)=(2s+6)/(s²+6s+8) is converted to a discrete-time filter with transfer function G(z)=(2z²-0.5032z)/(z²-0.5032z+k) so that the impulse response of the continuous-time filter, sampled at 2 Hz, is identical at the sampling instants to the impulse response of the discrete time filter. The value of k is

(0.05) is the correct answer.

Ques 65 GATE 2016 SET-2

The Discrete Fourier Transform (DFT) of the 4-point sequence x[n] = {x[0], x[1], x[2], x[3]}={3,2,3,4} is X[k]={X[0],X[1],X[2],X[3]}={12,2j,0,-2j}. If X₁[k] is the DFT of the 12-point sequence x₁[n]={3,0,0,2,0,0,3,0,0,4,0,0}, the value of |X₁[8]/X₁[11]| is

(1) is the correct answer.

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