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GATE EE 2014 Set 3

All 65 solved GATE EE 2014 Set 3 questions in exam order. Open a question, commit to an answer, and learn from the step-by-step solution. One question at a time.

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100

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MCQ · NAT

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Difficulty mixEasy 23Medium 35Hard 7

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65 of 65 questions

Question typeDifficultyYour progress

General Aptitude (GA)

1
Q1MCQ1 markEasy
While trying to collect an envelope I from under the table, II Mr. X fell down and III was losing consciousness. IV Which one of the above underlined…
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Question
$While trying to collect an envelope I from under the table, II Mr. X fell down and III was losing consciousness . IV Which one of the above underlined parts of the sentence is NOT appropriate?$
Your answer
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A. $I$ B. $II$ C. $III$ D. $IV$
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$Correct answer (D) IV Step-by-step solution The sentence describes a sequence of events in the past. The main actions are "fell down" and "lost consciousness". Since "fell down" is in the simple past, the subsequent action should also be in the simple past to indicate a completed action following the fall. Therefore, "was losing consciousness" (past continuous) is inappropriate and should be replaced with "lost consciousness" (simple past). Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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2
Q2MCQ1 markEasy
If she _____________ how to calibrate the instrument, she _____________ done the experiment.
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Question
$If she_____________how to calibrate the instrument, she_____________ done the experiment.$
Your answer
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A. $knows, will have$ B. $knew, had$ C. $had known, could have$ D. $should have known, would have$
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$Correct answer (C) had known, could have Step-by-step solution This is a third conditional sentence, which is used to express a hypothetical situation in the past. The grammatical structure for the third conditional is: If + past perfect (had + past participle), would/could/might + have + past participle . Option (C) "had known, could have" correctly follows this structure. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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3
Q3MCQ1 markEasy
Choose the word that is opposite in meaning to the word “coherent”.
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Question
$Choose the word that is opposite in meaning to the word “coherent”.$
Your answer
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A. $sticky$ B. $well-connected$ C. $rambling$ D. $friendly$
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$Correct answer (C) rambling Step-by-step solution The word "coherent" means logical, consistent, and clear. "Rambling" means lengthy and confused or inconsequential, lacking a clear connection or logic. Therefore, "rambling" is the antonym of "coherent". Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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4
Q4MCQ1 markEasy
Which number does not belong in the series below? $2, 5, 10, 17, 26, 37, 50, 64$
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Question
$2, 5, 10, 17, 26, 37, 50, 64$
Your answer
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A. $17$ B. $37$ C. $64$ D. $26$
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$n^2 + 1$
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5
Q5MCQ1 markEasy
The table below has question-wise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in…
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Question
$The table below has question-wise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in the examination. Q No. Marks Answered Correctly Answered Wrongly Not Attempted 122117623152723223183 What is the average of the marks obtained by the class in the examination?$
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A. $1.34$ B. $1.74$ C. $3.02$ D. $3.91$
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$21 + 17 + 6 = 44$
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6
Q6MCQ2 marksEasy
A dance programme is scheduled for 10.00 a.m. Some students are participating in the programme and they need to come an hour earlier than the start of the event. These students…
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Question
$A dance programme is scheduled for 10.00 a.m. Some students are participating in the programme and they need to come an hour earlier than the start of the event. These students should be accompanied by a parent. Other students and parents should come in time for the programme. The instruction you think that is appropriate for this is$
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A. $Students should come at 9.00 a.m. and parents should come at 10.00 a.m.$ B. $Participating students should come at 9.00 a.m. accompanied by a parent, and other parents and students should come by 10.00 a.m.$ C. $Students who are not participating should come by 10.00 a.m. and they should not bring their parents. Participating students should come at 9.00 a.m.$ D. $Participating students should come before 9.00 a.m. Parents who accompany them should come at 9.00 a.m. All others should come at 10.00 a.m.$
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$Correct answer (B) Participating students should come at 9.00 a.m. accompanied by a parent, and other parents and students should come by 10.00 a.m. Step-by-step solution The requirements stated in the passage are: 1. Participating students must arrive 1 hour before the 10:00 a.m. start, which is 9:00 a.m. 2. Participating students must be accompanied by a parent. 3. Other students and parents (non-participants) should arrive 'in time', which is 10:00 a.m. Option (B) is the only instruction that accurately captures all three conditions: 'Participating students should come at 9.00 a.m. accompanied by a parent, and other parents and students should come by 10.00 a.m.' Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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7
Q7MCQ2 marksEasy
By the beginning of the 20th century, several hypotheses were being proposed, suggesting a paradigm shift in our understanding of the universe. However, the clinching evidence was…
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Question
$By the beginning of the 20th century, several hypotheses were being proposed, suggesting a paradigm shift in our understanding of the universe. However, the clinching evidence was provided by experimental measurements of the position of a star which was directly behind our sun. Which of the following inference(s) may be drawn from the above passage? (i) Our understanding of the universe changes based on the positions of stars (ii) Paradigm shifts usually occur at the beginning of centuries (iii) Stars are important objects in the universe (iv) Experimental evidence was important in confirming this paradigm shift$
Your answer
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A. $(i), (ii) and (iv)$ B. $(iii) only$ C. $(i) and (iv)$ D. $(iv) only$
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$Correct answer (D) (iv) only Step-by-step solution The passage states that 'clinching evidence was provided by experimental measurements', which directly supports inference (iv). Inference (i) is a broad generalization not supported by the specific instance mentioned. Inference (ii) is a coincidence in this case and not a general rule. Inference (iii) is a general statement not discussed as a primary point in the passage. Thus, only (iv) is a valid inference. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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8
Q8MCQ2 marksMedium
The Gross Domestic Product (GDP) in Rupees grew at 7% during 2012-2013. For international comparison, the GDP is compared in US Dollars (USD) after conversion based on the market…
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Question
$The Gross Domestic Product (GDP) in Rupees grew at 7% during 2012-2013. For international comparison, the GDP is compared in US Dollars (USD) after conversion based on the market exchange rate. During the period 2012-2013 the exchange rate for the USD increased from Rs. 50/ USD to Rs. 60/ USD. India’s GDP in USD during the period 2012-2013$
Your answer
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A. $increased by 5 %$ B. $decreased by 13%$ C. $decreased by 20%$ D. $decreased by 11%$
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$G$
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9
Q9MCQ2 marksEasy
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students in 2011 and 2012 is equal, what is the…
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Question
$The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students in 2011 and 2012 is equal, what is the ratio of male students in 2012 to male students in 2011?$
Your answer
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A. $1:1$ B. $2:1$ C. $1.5:1$ D. $2.5:1$
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$R_{2011}$
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10
Q10MCQ2 marksEasy
Consider the equation: $(7526)_8 - (Y)_8 = (4364)_8$ , where $(X)_N$ stands for $X$ to the base $N$ . Find $Y$ .
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Question
$(7526)_8 - (Y)_8 = (4364)_8$
Your answer
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A. $1634$ B. $1737$ C. $3142$ D. $3162$
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$Y$
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Q No.	Marks	Answered Correctly	Answered Wrongly	Not Attempted
1	2	21	17	6
2	3	15	27	2
3	2	23	18	3

ELECTRICAL – EE

11
Q11MCQ1 markMedium
Two matrices $A$ and $B$ are given below: $A = \begin{bmatrix} p & q \\ r & s \end{bmatrix}; B = \begin{bmatrix} p^2+q^2 & pr+qs \\ pr+qs & r^2+s^2 \end{bmatrix}$ If the rank of…
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Question
$A$
Your answer
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A. $N/2$ B. $N-1$ C. $N$ D. $2N$
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$B$
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12
Q12NAT1 markMedium
A particle, starting from origin at $t = 0$ s, is traveling along x-axis with velocity $v = \frac{\pi}{2} \cos \left( \frac{\pi}{2} t \right) \text{ m/s}$ At $t = 3$ s, the…
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Question
$t = 0$
Your answer
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Numerical answer
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$x$
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13
Q13MCQ1 markMedium
Let $\nabla \cdot (f \mathbf{v}) = x^2 y + y^2 z + z^2 x$ , where $f$ and $\mathbf{v}$ are scalar and vector fields respectively. If…
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Question
$\nabla \cdot (f \mathbf{v}) = x^2 y + y^2 z + z^2 x$
Your answer
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A. $x^2 y + y^2 z + z^2 x$ B. $2xy + 2yz + 2zx$ C. $x + y + z$ D. $0$
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$\nabla \cdot (f \mathbf{v}) = f (\nabla \cdot \mathbf{v}) + \mathbf{v} \cdot \nabla f$
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14
Q14NAT1 markEasy
Lifetime of an electric bulb is a random variable with density $f(x) = kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are 1 and 2 years…
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Question
$f(x) = kx^2$
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Numerical answer
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$f(x)$
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15
Q15MCQ1 markEasy
A function $f(t)$ is shown in the figure. [figure] The Fourier transform $F(\omega)$ of $f(t)$ is
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Question
$f(t)$
Your answer
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A. $\omega$ B. $\omega$ C. $\omega$ D. $\omega$
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$f(t)$
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16
Q16MCQ1 markMedium
The line $A$ to neutral voltage is $10 \angle 15^\circ$ V for a balanced three phase star-connected load with phase sequence $ABC$ . The voltage of line $B$ with respect to line…
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Question
$A$
Your answer
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A. $10\sqrt{3} \angle 105^\circ$ B. $10 \angle 105^\circ$ C. $10\sqrt{3} \angle -75^\circ$ D. $-10\sqrt{3} \angle 90^\circ$
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$V_{AN} = 10 \angle 15^\circ$
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17
Q17MCQ1 markMedium
A hollow metallic sphere of radius $r$ is kept at potential of 1 Volt. The total electric flux coming out of the concentric spherical surface of radius $R$ ( $R > r$ ) is
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Question
$r$
Your answer
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A. $4\pi\epsilon_0 r$ B. $4\pi\epsilon_0 r^2$ C. $4\pi\epsilon_0 R$ D. $4\pi\epsilon_0 R^2$
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$V$
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18
Q18MCQ1 markMedium
The driving point impedance $Z(s)$ for the circuit shown below is [figure]
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Question
$Z(s)$
Your answer
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A. $\frac{s^4+3s^2+1}{s^3+2s}$ B. $\frac{s^4+2s^2+4}{s^2+2}$ C. $\frac{s^2+1}{s^4+s^2+1}$ D. $\frac{s^3+1}{s^4+s^2+1}$
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$Z(s)$
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19
Q19MCQ1 markMedium
A signal is represented by $x(t) = \begin{cases} 1 & |t| < 1 \\ 0 & |t| > 1 \end{cases}$ The Fourier transform of the convolved signal $y(t) = x(2t) * x(t/2)$ is
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Question
$x(t) = \begin{cases} 1 & |t| < 1 \\ 0 & |t| > 1 \end{cases}$
Your answer
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A. $\frac{4}{\omega^2} \sin\left(\frac{\omega}{2}\right) \sin(2\omega)$ B. $\frac{4}{\omega^2} \sin\left(\frac{\omega}{2}\right)$ C. $\frac{4}{\omega^2} \sin(2\omega)$ D. $\frac{4}{\omega^2} \sin^2 \omega$
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$x(t) = \text{rect}(t/2)$
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20
Q20NAT1 markEasy
For the signal $f(t) = 3 \sin 8\pi t + 6 \sin 12\pi t + \sin 14\pi t$ , the minimum sampling frequency (in Hz) satisfying the Nyquist criterion is _________.
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Question
$f(t) = 3 \sin 8\pi t + 6 \sin 12\pi t + \sin 14\pi t$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
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$f(t) = 3 \sin(8\pi t) + 6 \sin(12\pi t) + \sin(14\pi t)$
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21
Q21MCQ1 markEasy
In a synchronous machine, hunting is predominantly damped by
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Question
$In a synchronous machine, hunting is predominantly damped by$
Your answer
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A. $mechanical losses in the rotor$ B. $iron losses in the rotor$ C. $copper losses in the stator$ D. $copper losses in the rotor$
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$I^2R$
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22
Q22MCQ1 markMedium
A single phase induction motor is provided with capacitor and centrifugal switch in series with auxiliary winding. The switch is expected to operate at a speed of $0.7 N_s$ , but…
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Question
$0.7 N_s$
Your answer
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A.B.C.D.
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$70\%$
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23
Q23NAT1 markMedium
The no-load speed of a $230$ V separately excited dc motor is $1400$ rpm. The armature resistance drop and the brush drop are neglected. The field current is kept constant at…
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Question
$230$
Your answer
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Numerical answer
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$V = 230$
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24
Q24MCQ1 markEasy
In a long transmission line with $r, l, g$ and $c$ are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for…
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Question
$r, l, g$
Your answer
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A. $rc = lg$ B. $r = \sqrt{l/c}$ C. $rg = lc$ D. $g = \sqrt{c/l}$
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$\alpha$
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25
Q25MCQ1 markEasy
For a fully transposed transmission line
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Question
$For a fully transposed transmission line$
Your answer
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A. $positive, negative and zero sequence impedances are equal$ B. $positive and negative sequence impedances are equal$ C. $zero and positive sequence impedances are equal$ D. $negative and zero sequence impedances are equal$
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$Z_1$
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26
Q26NAT1 markEasy
A 183-bus power system has 150 PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number…
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Question
$A 183-bus power system has 150 PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equations to be solved is__________.$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
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$N$
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27
Q27MCQ1 markMedium
The signal flow graph of a system is shown below. $U(s)$ is the input and $C(s)$ is the output. [figure] Assuming, $h_1 = b_1$ and $h_0 = b_0 - b_1 a_1$ , the input-output transfer…
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Question
$U(s)$
Your answer
Choose one option, then check your answer.
A. $G(s) = \frac{b_0 s + b_1}{s^2 + a_0 s + a_1}$ B. $G(s) = \frac{a_1 s + a_0}{s^2 + b_1 s + b_0}$ C. $G(s) = \frac{b_1 s + b_0}{s^2 + a_1 s + a_0}$ D. $G(s) = \frac{a_0 s + a_1}{s^2 + b_0 s + b_1}$
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$G(s) = \frac{\sum P_i \Delta_i}{\Delta}$
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28
Q28MCQ1 markMedium
A single-input single-output feedback system has forward transfer function $G(s)$ and feedback transfer function $H(s)$ . It is given that $|G(s)H(s)| < 1$ . Which of the following…
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Question
$G(s)$
Your answer
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A. $The system is always stable$ B. $G(s)H(s)$ C. $G(s)H(s)$ D. $It is not possible to say whether or not the system is stable from the information given$
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$1 + G(s)H(s) = 0$
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29
Q29NAT1 markEasy
An LPF wattmeter of power factor 0.2 is having three voltage settings 300 V, 150 V and 75 V, and two current settings 5 A and 10 A. The full scale reading is 150. If the wattmeter…
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Question
$An LPF wattmeter of power factor 0.2 is having three voltage settings 300 V, 150 V and 75 V, and two current settings 5 A and 10 A. The full scale reading is 150. If the wattmeter is used with 150 V voltage setting and 10 A current setting, the multiplying factor of the wattmeter is_________.$
Your answer
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Numerical answer
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$MF = \frac{\text{Voltage Setting} \times \text{Current Setting} \times \text{Power Factor}}{\text{Full Scale Reading}}$
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30
Q30MCQ1 markMedium
The two signals $S1$ and $S2$ , shown in figure, are applied to $Y$ and $X$ deflection plates of an oscilloscope. [figure] The waveform displayed on the screen is
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Question
$S1$
Your answer
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A.B.C.D.
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$S2$
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31
Q31MCQ1 markMedium
A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where $X$ is the don’t care condition, and $Q$ is the output representing the state.…
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Question
$X$
Your answer
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A. $XOR$ B. $OR$ C. $AND$ D. $NAND$
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$Q$
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32
Q32MCQ1 markMedium
An operational-amplifier circuit is shown in the figure. The output of the circuit for a given input $v_i$ is [figure]
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Question
$v_i$
Your answer
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A. $v_i \left( -\frac{R_2}{R_1} \right)$ B. $-\left( 1 + \frac{R_2}{R_1} \right) v_i$ C. $\left( 1 + \frac{R_2}{R_1} \right) v_i$ D. $+V_{sat}$
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$R_2$
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33
Q33MCQ1 markEasy
In 8085A microprocessor, the operation performed by the instruction LHLD 2100H is
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Question
$In 8085A microprocessor, the operation performed by the instruction LHLD 2100H is$
Your answer
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A. $(H) \leftarrow 21_H, (L) \leftarrow 00_H$ B. $(H) \leftarrow M(2100_H), (L) \leftarrow M(2101_H)$ C. $(H) \leftarrow M(2101_H), (L) \leftarrow M(2100_H)$ D. $(H) \leftarrow 00_H, (L) \leftarrow 21_H$
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$2100_H$
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34
Q34MCQ1 markEasy
A non-ideal voltage source $V_s$ has an internal impedance of $Z_s$ . If a purely resistive load is to be chosen that maximizes the power transferred to the load, its value must be
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Question
$V_s$
Your answer
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A. $0$ B. $Z_s$ C. $Z_s$ D. $Z_s$
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$V_s$
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35
Q35MCQ1 markMedium
The torque-speed characteristics of motor ( $T_M$ ) and load ( $T_L$ ) for two cases are shown in the figures (a) and (b). The load torque is equal to motor torque at points P, Q, R…
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Question
$T_M$
Your answer
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A. $P and R$ B. $P and S$ C. $Q and R$ D. $Q and S$
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$\frac{dT_L}{d\omega} > \frac{dT_M}{d\omega}$
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36
Q36MCQ2 marksEasy
Integration of the complex function $f(z) = \frac{z^2}{z^2 - 1}$ , in the counterclockwise direction, around $|z - 1| = 1$ , is
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Question
$f(z) = \frac{z^2}{z^2 - 1}$
Your answer
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A. $-\pi i$ B. $0$ C. $\pi i$ D. $2\pi i$
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$f(z) = \frac{z^2}{z^2 - 1} = \frac{z^2}{(z - 1)(z + 1)}$
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37
Q37MCQ2 marksMedium
The mean thickness and variance of silicon steel laminations are 0.2 mm and 0.02 respectively. The varnish insulation is applied on both the sides of the laminations. The mean…
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Question
$The mean thickness and variance of silicon steel laminations are 0.2 mm and 0.02 respectively. The varnish insulation is applied on both the sides of the laminations. The mean thickness of one side insulation and its variance are 0.1 mm and 0.01 respectively. If the transformer core is made using 100 such varnish coated laminations, the mean thickness and variance of the core respectively are$
Your answer
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A. $30 mm and 0.22$ B. $30 mm and 2.44$ C. $40 mm and 2.44$ D. $40 mm and 0.24$
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$0.2$
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38
Q38NAT2 marksMedium
The function $f(x) = e^x - 1$ is to be solved using Newton-Raphson method. If the initial value of $x_0$ is taken as 1.0, then the absolute error observed at $2^{nd}$ iteration is…
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Question
$f(x) = e^x - 1$
Your answer
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Numerical answer
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$f(x) = e^x - 1$
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39
Q39NAT2 marksMedium
The Norton’s equivalent source in amperes as seen into the terminals X and Y is _______. [figure]
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Question
$The Norton’s equivalent source in amperes as seen into the terminals X and Y is_______.$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
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$I_N$
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40
Q40NAT2 marksMedium
The power delivered by the current source, in the figure, is ________. [figure]
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Question
$The power delivered by the current source, in the figure, is________.$
Your answer
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$2\text{ A}$
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41
Q41MCQ2 marksMedium
A perfectly conducting metal plate is placed in $x$ - $y$ plane in a right handed coordinate system. A charge of $+32\pi\epsilon_o\sqrt{2}$ columbs is placed at coordinate…
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Question
$x$
Your answer
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A. $2\sqrt{2} \hat{k}$ B. $-2 \hat{k}$ C. $2 \hat{k}$ D. $-2\sqrt{2} \hat{k}$
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$+q$
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42
Q42MCQ2 marksMedium
A series $RLC$ circuit is observed at two frequencies. At $\omega_1 = 1 \text{ krad/s}$ , we note that source voltage $V_1 = 100\angle 0^\circ \text{ V}$ results in a current…
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Question
$RLC$
Your answer
Choose one option, then check your answer.
A. $R = 50 \ \Omega; L = 25 \text{ mH}; C = 10 \ \mu\text{F};$ B. $R = 50 \ \Omega; L = 10 \text{ mH}; C = 25 \ \mu\text{F};$ C. $R = 50 \ \Omega; L = 50 \text{ mH}; C = 5 \ \mu\text{F};$ D. $R = 50 \ \Omega; L = 5 \text{ mH}; C = 50 \ \mu\text{F};$
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$\omega_2 = 2 \text{ krad/s}$
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43
Q43MCQ2 marksMedium
A continuous-time LTI system with system function $H(\omega)$ has the following pole-zero plot. For this system, which of the alternatives is TRUE? [figure]
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Question
$H(\omega)$
Your answer
Choose one option, then check your answer.
A. $|H(0)| > |H(\omega)|; |\omega| > 0$ B. $|H(\omega)|$ C. $|H(0)| < |H(\omega)|; |\omega| > 0$ D. $|H(\omega)| = \text{constant}; -\infty < \omega < \infty$
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$s$
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44
Q44MCQ2 marksMedium
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period 20 ms. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at 25…
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Question
$x(t)$
Your answer
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A. $10 Hz$ B. $60 Hz$ C. $30 Hz$ D. $90 Hz$
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$f_s = \frac{1}{T} = \frac{1}{20 \times 10^{-3}} = 50$
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45
Q45MCQ2 marksEasy
A differentiable non constant even function $x(t)$ has a derivative $y(t)$ , and their respective Fourier Transforms are $X(\omega)$ and $Y(\omega)$ . Which of the following…
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Question
$x(t)$
Your answer
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A. $X(\omega)$ B. $X(\omega)$ C. $X(\omega)$ D. $X(\omega)$
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$x(t)$
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46
Q46MCQ2 marksMedium
An open circuit test is performed on 50 Hz transformer, using variable frequency source and keeping V/f ratio constant, to separate its eddy current and hysteresis losses. The…
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Question
$An open circuit test is performed on 50 Hz transformer, using variable frequency source and keeping V/f ratio constant, to separate its eddy current and hysteresis losses. The variation of core loss/frequency as function of frequency is shown in the figure$
Your answer
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A. $250 W and 2.5 W$ B. $250 W and 62.5W$ C. $312.5 W and 62.5 W$ D. $312.5 W and 250 W$
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$P_c$
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47
Q47NAT2 marksMedium
A non-salient pole synchronous generator having synchronous reactance of $0.8$ pu is supplying $1$ pu power to a unity power factor load at a terminal voltage of $1.1$ pu.…
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Question
$0.8$
Your answer
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Numerical answer
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$X_s = 0.8$
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48
Q48NAT2 marksEasy
A separately excited $300$ V DC shunt motor under no load runs at $900$ rpm drawing an armature current of $2$ A. The armature resistance is $0.5$ $\Omega$ and leakage inductance…
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Question
$300$
Your answer
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$V = 300$
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49
Q49NAT2 marksHard
The load shown in the figure absorbs $4$ kW at a power factor of $0.89$ lagging. [figure] Assuming the transformer to be ideal, the value of the reactance X to improve the input…
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Question
$4$
Your answer
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$P_L = 4$
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50
Q50MCQ2 marksHard
The parameters measured for a 220V/110V, 50 Hz, single-phase transformer are: Self inductance of primary winding = 45 mH Self inductance of secondary winding = 30 mH Mutual…
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Question
$L_{l1}$
Your answer
Choose one option, then check your answer.
A. $5mH, 20mH and 40mH$ B. $5mH, 80mH and 40mH$ C. $25mH, 10mH and 20mH$ D. $45mH, 30mH and 20mH$
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$V_1 = 220$
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51
Q51NAT2 marksHard
For a 400 km long transmission line, the series impedance is $(0.0 + j0.5)\ \Omega/\text{km}$ and the shunt admittance is $(0.0 + j5.0)\ \mu\text{mho}/\text{km}$ . The magnitude of…
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Question
$(0.0 + j0.5)\ \Omega/\text{km}$
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$l = 400$
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52
Q52NAT2 marksMedium
The complex power consumed by a constant-voltage load is given by $(P_1 + jQ_1)$ , where, $1\text{ kW} \leq P_1 \leq 1.5\text{ kW}$ and…
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Question
$(P_1 + jQ_1)$
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$Q_c$
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53
Q53NAT2 marksHard
The figure shows the single line diagram of a single machine infinite bus system. [figure] The inertia constant of the synchronous generator $H = 5$ MW-s/MVA. Frequency is 50 Hz.…
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Question
$H = 5$
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$\frac{H}{\pi f} \frac{d^2\delta}{dt^2} = P_m - P_e$
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54
Q54MCQ2 marksMedium
The block diagram of a system is shown in the figure [figure] If the desired transfer function of the system is $\frac{C(s)}{R(s)} = \frac{s}{s^2 + s + 1}$ then $G(s)$ is
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Question
$\frac{C(s)}{R(s)} = \frac{s}{s^2 + s + 1}$
Your answer
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A. $1$ B. $s$ C. $1/s$ D. $\frac{-s}{s^3 + s^2 - s - 2}$
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$G(s)$
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55
Q55MCQ2 marksMedium
Consider the system described by following state space equations…
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Question
$\begin{bmatrix} \dot{x}_1 \\ \dot{x}_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ -1 & -1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} 0 \\ 1 \end{bmatrix} u; \quad y = \begin{bmatrix} 1 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$
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A. $0$ B. $1/2$ C. $2/3$ D. $1$
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$T(s)$
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56
Q56MCQ2 marksMedium
The magnitude Bode plot of a network is shown in the figure [figure] The maximum phase angle $\phi_m$ and the corresponding gain $G_m$ respectively, are
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Question
$\phi_m$
Your answer
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A. $-30^\circ$ B. $-30^\circ$ C. $+30^\circ$ D. $+30^\circ$
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$\omega_z = 1/3$
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57
Q57MCQ2 marksMedium
A periodic waveform observed across a load is represented by…
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Question
$V(t) = \begin{cases} 1 + \sin \omega t & 0 \leq \omega t < 6\pi \\ -1 + \sin \omega t & 6\pi \leq \omega t < 12\pi \end{cases}$
Your answer
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A. $\sqrt{\frac{3}{2}}$ B. $\sqrt{\frac{2}{3}}$ C. $\frac{3}{2}$ D. $\frac{2}{3}$
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$T = 12\pi/\omega$
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58
Q58NAT2 marksEasy
In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance $C_1$ in microfarad is _________. [figure]
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Question
$C_1$
Your answer
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Numerical answer
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$Z_1 Z_4 = Z_2 Z_3$
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59
Q59MCQ2 marksMedium
Two monoshot multivibrators, one positive edge triggered ( $M_1$ ) and another negative edge triggered ( $M_2$ ), are connected as shown in figure. The monoshots $M_1$ and $M_2$ when…
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Question
$M_1$
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A.B.C.D.
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$M_1$
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60
Q60MCQ2 marksMedium
The transfer characteristic of the Op-amp circuit shown in figure is [figure]
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Question
$The transfer characteristic of the Op-amp circuit shown in figure is$
Your answer
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A.B.C.D.
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$Correct answer (C) [figure] Step-by-step solution The correct answer is Option C . A detailed step-by-step solution for this question is being prepared and will be available shortly after review by our verification team. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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61
Q61MCQ2 marksMedium
A 3-bit gray counter is used to control the output of the multiplexer as shown in the figure. The initial state of the counter is $000_2$ . The output is pulled high. The output of…
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Question
$000_2$
Your answer
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A. $I_0$ B. $I_0$ C. $I_0$ D. $I_0$
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$Correct answer (A) I₀, 1, 1, I₁, I₃, 1, 1, I₂ Step-by-step solution The correct answer is Option A . A detailed step-by-step solution for this question is being prepared and will be available shortly after review by our verification team. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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62
Q62NAT2 marksHard
A hysteresis type TTL inverter is used to realize an oscillator in the circuit shown in the figure. [figure] If the lower and upper trigger level voltages are $0.9$ V and $1.7$ V,…
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Question
$0.9$
Your answer
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$V_{UT}$
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63
Q63MCQ2 marksHard
A three-phase fully controlled bridge converter is fed through star-delta transformer as shown in the figure. [figure] The converter is operated at a firing angle of $30^\circ$ .…
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Question
$30^\circ$
Your answer
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A.B.C.D.
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$Y-\Delta$
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64
Q64NAT2 marksHard
A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s = 100 \sin(\omega t)$ V, where $\omega = 100\pi$ rad/s, and $L = 31.83$ mH. The initial value of…
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Question
$v_s = 100 \sin(\omega t)$
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$v_L = L \frac{di_L}{dt}$
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65
Q65MCQ2 marksMedium
A single-phase voltage source inverter shown in figure is feeding power to a load. The triggering pulses of the devices are also shown in the figure. [figure] If the load current…
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Question
$0, \pi, 2\pi, \dots$
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A.B.C.D.
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$V_{AO}$
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