Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2017 Set-2 Questions with Answer
Ques 53 GATE 2017 SET-2
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. Which of the following is the steepest path leaving from P?
Ques 54 GATE 2017 SET-2
In the circuit shown. V is a sinusoidal voltage source. The current I is in phase with voltage V. The ratio (amplitude of voltage across the capacitor)/(amplitude of voltage across the resistor) is _________.
Ques 55 GATE 2017 SET-2
A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is
Ques 56 GATE 2017 SET-2
The switch in the circuit, shown in the figure, was open for a long time and is closed at t=0. The current i(t) (in ampere) at t=0.5 seconds is
Ques 57 GATE 2017 SET-2
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is
Ques 58 GATE 2017 SET-2
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is
Ques 59 GATE 2017 SET-2
Consider the random process X(t)=U+Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t=2 is
Ques 60 GATE 2017 SET-2
An LTI system with unit sample response h[n]=5δ[n]-7δ[n-1]+7δ[n-3]-5δ[n-4] is a
Ques 61 GATE 2017 SET-2
The input x(t) and the output y(t) of a continuous-time system are related as y(t)=∫t-Ttx(u)du. The system is
Ques 62 GATE 2017 SET-2
Consider an LTI system with magnitude response
x(t)=8cos(20πt+π/4)+16sin(40πt+π/8)+24cos(80πt+π/16),
then the average power of the output signal y(t) is
Ques 63 GATE 2017 SET-2
The transfer function of a causal LTI system is H(s)=1/s. If the input to the system is x(t)=[sin(t)/πt]u(t), where u(t) is a unit step function. the system output y(t) as t→∞ is
Ques 64 GATE 2017 SET-2
Consider the parallel combination of two LTI systems shown in the figure. The impulse responses of the systems are h1(t)=2δ(t+2)-3δ(t+1) and h2(t)=δ(t-2). If the input x(t) is a unit step signal, then the energy of y(t) is
Ques 65 GATE 2017 SET-2
The signal x(t)=sin(14000πt) where t is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response H(f) as follows:
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