Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2015 Set-1 Questions with Answer
Ques 27 GATE 2015 SET-1
In an 8085 microprocessor, the shift registers which store the result of an arithmetic operation and the overflow bit, respectively, are
Ques 28 GATE 2015 SET-1
A 16 KB (16 × 210 bytes) 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
Ques 29 GATE 2015 SET-1
Consider a four bit D to A converter. The analog value corresponding to digital signals 0000 and 0001 are 0 V and 0.0625 V respectively. The analog value (in Volts) corresponding to the digital signal 1111 is
Ques 30 GATE 2015 SET-1
The result of the convolution x(−t) * δ(t − t0) is
Ques 31 GATE 2015 SET-1
The waveform of a periodic signal x(t) is shown in the figure.
A signal g(t) is defined by g(t) = x((t − 1)/2). The average power of g(t) is
Ques 32 GATE 2015 SET-1
Negative feedback in a closed-loop control system DOES NOT
Ques 33 GATE 2015 SET-1
A unity negative feedback system has the open-loop transfer function G(s) = K/(s(s+2)(s+4)). The value of the gain K(>0) at which the root locus crosses the imaginary axis is
Ques 34 GATE 2015 SET-1
The polar plot of the transfer function G(s) = 10(s+1)/(s+10) for 0 ≤ ω < ∞ will be in the
Ques 35 GATE 2015 SET-1
A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size Δ of the delta modulator are 20,000 samples per second and 0.1 V respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is
Ques 36 GATE 2015 SET-1
Consider a uniform plane wave with amplitude (E0) of 10 V/m and 1.1 GHz frequency travelling in air, and incident normally on a dielectric medium with complex relative permittivity (εr) and permeability (μr = 1) as shown in the figure.
Ques 37 GATE 2015 SET-1
The electric field intensity of a plane wave traveling in free space is given by the following expression
E(x, t) = ây 24π cos(2π × 109 t − k0x) V/m.
In this field, consider a square area 10 cm × 10 cm on a plane x + y = 1. The time-averaged power (in mW) passing through this area is
Ques 38 GATE 2015 SET-1
The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression
Hz(x,y,z,t) = 0.1 cos(25x) cos(30y) cos(ωt − βz) A/m.
The cross-sectional dimensions of the waveguide are given as a = 0.08 m and b = 0.033 m. The mode of propagation inside the waveguide is
Ques 39 GATE 2015 SET-1
A source emits bit 0 with probability 1/3 and bit 1 with probability 2/3. The emitted bits are communicated to the receiver. The receiver decides for either 0 or 1 based on the received value R. It is given that the conditional density functions of R are as follows:
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