End Test Now
The eigen values of a skew-symmetric matrix are
always zero
always pure imaginary
either zero or pure imaginary
always real
The trigonometric Fourier series for the waveform f(t) shown below contains
only cosine terms and zero value for the dc component
only cosine terms and a positive value for the dc component
only cosine terms and a negative value for the dc component
only sine terms and a negative value for the dc component
A function n(x) satisfies the differential equation = 0 where L is a constant. The boundary conditions are : n(0) = K and . The solution to this equation is :
n(x) = Kexp(x / L)
n(x) = Kexp
n(x) = exp(-x / L)
n(x) = Kexp(-x / L)
For the two-port network shown below, the short-circuit admittance parameter matrix is :
For a parallel RLC circuit, which one of the following statements is NOT correct ?
The bandwidth of the circuit decreases if R is increased
The bandwidth of the circuit remains same if L is increased
At resonance, input impedance is a real quantity
At resonance, the magnitude of input impedance attains its minimum value
At room temperature, a possible value for the mobility of electrons in the inversion layer of a silicon nchannel MOSFET is :
450 / V – s
1350 / V – s
1800 / V – s
3600 / V – s
Thin gate oxide in a CMOS process is preferably grown using
wet oxidation
dry oxidation
epitaxial deposition
ion implantation
In the silicon BJT circuit shown below, assume that the emitter area of transistor Q1 is half that of transistor Q2.
0.5 mA
2 mA
9.3 mA
15 mA
The amplifier circuit shown below uses a silicon transistor. The capacitance can be assumed to be short at signal frequency and the effect of output resistance can be ignored. If is disconnected from the circuit, which one of the following statements is TRUE ?
The input resistance increases and the magnitude of voltage gain decreases
The input resistance decreases and the magnitude of voltage gain increases
Both input resistance and the magnitude of voltage gain decrease
Both input resistance and the magnitude of voltage gain increase
Assuming the OP-AMP to be ideal, the voltage gain of the amplifier shown below is :
Match the logic gates in Column A with their equivalents in Column B.
2 4 1 3
4 2 1 3
2 4 3 1
4 2 3 1
For the output F to be 1 in the logic circuit shown, the input combination should be
A = 1, B = 1, C = 0
A = 1, B = 0, C = 0
A = 0, B = 1, C = 0
A = 0, B = 0, C = 1
In the circuit shown, the device connected to Y5 can have address in the range
2000 – 20FF
2D00 – 2DFF
2E00 – 2EFF
FD00 – FDFF
Consider the z-transform X(z) = . The inverse z-transform x[n] is :
Two discrete time systems with impulse responses and are connected in cascade. The overall impulse response of the cascaded system is :
For an N-point FFT algorithm with , which one of the following statements is TRUE ?
It is not possible to construct a signal flow graph with both input and output in normal order
The number of butterflies in the stage is N/m
In-place computation requires storage of only 2N node data
Computation of a butterfly requires only one complex multiplication
The transfer function Y(s)/R(s) of the system shown is :
A system with the transfer function has an output y(t) = cos for the input signal x(t) = p cos . Then, the system parameter ‘p’ is :
For the asymptotic Bode magnitude plot shown below, the system transfer function can be
Suppose that the modulating signal is m(t) = 2cos and the carrier signal is . Which one of the following is a conventional AM signal without over-modulation ?
Consider an angle modulated signal V. The average power of x(t) is :
10W
18W
20W
28W
If the scattering matrix [S] of a two port network isthen the network is :
lossless and reciprocal
lossless but not reciprocal
not lossless but reciprocal
neither lossless nor reciprocal
A transmission line has a characteristic impedance of and a resistance of / m . If the line is distortionless, the attenuation constant (in Np/m) is :
500
5
0.014
0.002
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is :
The electric field component of a time harmonic plane EM wave traveling in a nonmagnetic lossless dielectric medium has an amplitude of 1 V/m. If the relative permittivity of the medium is 4, the magnitude of the time-average power density vector is:
If , then y has a
maximum at x = e
minimum at x = e
maximum at
minimum at
A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tails show up” is :
If , then over the path shown in the figure is :
The residues of a complex function X (z) = at its poles are
Consider a differential equation with the initial condition y(0) = 0 . Using Euler’s first order method with a step size of 0.1, the value of y (0.3) is :
0.01
0.031
0.0631
0.1
Given . if , then the value of K is :
1
2
3
4
In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for is :
i(t) = 0.5 – 0.125 A
i(t) = 1.5 – 0.125 A
i(t) = 0.5 – 0.5 A
i(t) = 0.375 A
The current I in the circuit shown is :
- j1 A
j1 A
0 A
20 A
In the circuit shown, the power supplied by the voltage source is :
0 W
5 W
10 W
100 W
In a uniformly doped BJT, assume that are the emitter, base and collector dopings in atoms/ , respectively. If the emitter injection efficiency of the BJT is close to unity, which one of the following conditions is TRUE ?
Compared to p-n junction with , which one of the following statements is TRUE for a p-n junction with ?
Reverse breakdown voltage is lower and depletion capacitance is lower
Reverse breakdown voltage is higher and depletion capacitance is lower
Reverse breakdown voltage is lower and depletion capacitance is higher
Reverse breakdown voltage is higher and depletion capacitance is higher
Assuming that all flip-flops are in reset condition initially, the count sequence observed at in the circuit shown is :
0010111…
0001011…
0101111…
0110100…
The transfer characteristic for the precision rectifier circuit shown below is (assume ideal OP-AMP and practical diodes)
The Boolean function realized by the logic circuit shown is :
F = m(0,1,3,5,9,10,14)
F = m(2,3,5,7,8,12,13)
F = m(1, 2,4,5,11,14,15)
F = m(2,3,5,7,8,9,12)
For the 8085 assembly language program given below, the content of the accumulator after the execution of the program is :
00H
45H
67H
E7H
A continuous time LTI system is described by Assuming zero initial conditions, the response y(t) of the above system for the input is given by
The transfer function of a discrete time LTI system is given by Consider the following statements :S1 : The system is stable and causal for ROC : |z| > S2 : The system is stable but not causal for ROC : |z| < S3 : The system is neither stable nor causal for ROC : < |z| < Which one of the following statements is valid ?
Both S1 and S2 are true
Both S2 and S3 are true
Both S1 and S3 are true
S1, S2 and S3 are all true
The Nyquist sampling rate for the signal is given by
400 Hz
600 Hz
1200 Hz
1400 Hz
A unity negative feedback closed loop system has a plant with the transfer function and a controller in the feedforward path. For a unit step input, the transfer function of the controller that gives minimum steady error is :
X(t) is a stationary process with the power spectral density for all f. The process is passed through a system shown below.
A plane wave having the electric field component V/m and travelling in free space is incident normally on a lossless medium with which occupies the region . The reflected magnetic field component is given by
In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ratio (VSWR) on the line is :
1.00
1.64
2.50
3.00
Directions for next two questions: Consider the common emitter amplifier shown below with the following circuit parameters : , , , , .
The lower cut-off frequency due to is :
33.9 Hz
27.1 Hz
13.6 Hz
16.9 Hz
Directions for next two questions: The signal flow graph of a system is shown below
The transfer function of the system is :
Directions for next two questions: The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: T=300K, electronic charge thermal voltage = 26 mV and electron mobility .
1 kV/cm
5 kV/cm
10 kV/cm
26 kV/cm
The magnitude of the electron drift current density at is :
Directions for next two questions: Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is whit with power spectral density W / Hz. The low-pass filter is ideal with unity gain and cutoff frequency 1MHz. Let represent the random variable .
where represents the noise sample value. The noise sample has a probability density function, (This has mean zero and variance ). Assume transmitted bits to be equiprobable and threshold z is set to V.
The probability of bit error is :
Which of the following options is the closest in meaning to the world below: Circuitous
cyclic
indirect
confusing
crooked
The question below consists of a pair of related of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed: Worker
fallow : land
unaware : sleeper
wit : jester
renovated : house
Choose the most appropriate word from the options given below to complete the following sentence :If we manage to ________ our natural resources, we would leave a better planet for our children.
uphold
restrain
cherish
conserve
Choose the most appropriate word from the options given below to complete the following sentence :His rather casual remarks on politics ______ his lack of seriousness about the subject.
masked
belied
betrayed
suppressed
25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is :
17
13
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments who think that chemical agents are useful tools for their cause.Which of the following statements best sums up the meaning of the above passage :
Modern warfare has resulted in civil strife.
Chemical agents are useful in modern warfare.
Use of chemical agents in warfare would be undesirable.
People in military establishments like to use chemical agents in war.
If 137 + 276 = 435 how much is 731 + 672 ?
534
1403
1623
1513
skilled workers can build a wall in 20 days; 8 semi-skilled worker can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall ?
20 days
18 days
16 days
15 days
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed ?
50
51
52
54
Hari (H), Gita (G), Irfan (I) and Saira (S) are sibiligs (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than3 years. Given the following facts :i. Hair’s age + Gita’s age > Irfan’s age + Saira’s age.ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.iii. There are not twins.In what order were they born (oldest first) ?
HSIG
SGHI
IGSH
IHSG
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