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Recent questions tagged gate2015-ec-2
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GATE ECE 2015 Set 2 | GA Question: 1
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Dhoni, as well as the other team members of Indian team,______ present on the occasion. were was has have
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:Dhoni, as well as the other team members of Indian team,______...
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16.0k
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81
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Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-ability
most-appropriate-word
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0
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0
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2
GATE ECE 2015 Set 2 | GA Question: 2
Choose the word most similar in meaning to the given word: Awkward Inept Graceful Suitable Dreadful
Choose the word most similar in meaning to the given word:AwkwardIneptGracefulSuitableDreadful
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87
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Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-ability
most-appropriate-word
+
–
0
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0
answers
3
GATE ECE 2015 Set 2 | GA Question: 3
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous
What is the adverb for the given word below?MisogynousMisogynousnessMisogynityMisogynouslyMisogynous
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104
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Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-ability
english-grammar
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0
votes
0
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4
GATE ECE 2015 Set 2 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches $M, N, O,$ and $P,$ in that order. ... $km$ is minimum is M N O P
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day...
Milicevic3306
16.0k
points
121
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Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-ability
data-interpretation
tabular-data
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0
votes
0
answers
5
GATE ECE 2015 Set 2 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the probability that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the pro...
Milicevic3306
16.0k
points
96
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Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-ability
probability
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–
0
votes
0
answers
6
GATE ECE 2015 Set 2 | GA Question: 6
In the following sentence certain parts are underlined and marked P,Q and R. One of the parts may contain certain error or may not be acceptable in standard written communication.select the part containing an error. Choose D as your answer if there is no error. ... $P$ $Q$ $R$ $\text{no error}$
In the following sentence certain parts are underlined and marked P,Q and R. One of the parts may contain certain error or may not be acceptable in standard written commu...
Milicevic3306
16.0k
points
118
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Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-ability
english-grammar
+
–
0
votes
0
answers
7
GATE ECE 2015 Set 2 | GA Question: 7
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows. Statements: All film stars are playback singers. All film directors are film stars Conclusions: All film ... Only conclusion I follows Only conclusion II follows Neither conclusion I nor II follows Both conclusion I and II follows
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.Statements:All film stars are playbac...
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16.0k
points
105
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Mar 27, 2018
Analytical Aptitude
gate2015-ec-2
analytical-aptitude
logical-reasoning
statements-follow
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–
0
votes
0
answers
8
GATE ECE 2015 Set 2 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap respectively, what distance in meters will the tiger have to run before it catches the deer?
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap r...
Milicevic3306
16.0k
points
108
views
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Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-answers
numerical-ability
speed-time-distance
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–
0
votes
0
answers
9
GATE ECE 2015 Set 2 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval$[1,2/3]$$[-1/2,1]$$[-1,1/2]$$[2,-4]$
Milicevic3306
16.0k
points
93
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Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-ability
polynomials
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–
0
votes
0
answers
10
GATE ECE 2015 Set 2 | GA Question: 10
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's Budget. ... education nowadays (iii) and (iv) (i) and (iv) (i),(ii) and (iv) (i) and (iii)
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to...
Milicevic3306
16.0k
points
91
views
Milicevic3306
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Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-ability
verbal-reasoning
passage-reading
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–
0
votes
0
answers
11
GATE ECE 2015 Set 2 | Question: 1
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is $\dfrac{a-b}{s} \\$ $\dfrac{e^{s}(a-b)}{s} \\$ $\dfrac{e^{-as}-e^{-bs}}{s} \\$ $\dfrac{e^{s(a-b)}}{s}$
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is$\dfrac{a-b}{s} \\$$\dfrac{e^{s...
Milicevic3306
16.0k
points
208
views
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
12
GATE ECE 2015 Set 2 | Question: 2
The value of $x$ for which all the eigen-values of the matrix given below are real is $\begin{bmatrix} 10&5+j &4 \\ x&20 &2 \\4 &2 &-10 \end{bmatrix}$ $5+j$ $5-j$ $1-5j$ $1+5j$
The value of $x$ for which all the eigen-values of the matrix given below are real is $$\begin{bmatrix} 10&5+j &4 \\ x&20 &2 \\4 &2 &-10 \end{bmatrix}$$$5+j$$5-j$$1-5j$$1...
Milicevic3306
16.0k
points
127
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Mar 27, 2018
Linear Algebra
gate2015-ec-2
linear-algebra
matrices
eigen-values
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–
0
votes
0
answers
13
GATE ECE 2015 Set 2 | Question: 3
Let $f(z)=\dfrac{az+b}{cz+d}.$ If $f(z_{1})=f(z_{2})$ for all $z_{1}\neq z_{2},a=2,b=4$ and $c=5,$ then $d$ should be equal to ________.
Let $f(z)=\dfrac{az+b}{cz+d}.$ If $f(z_{1})=f(z_{2})$ for all $z_{1}\neq z_{2},a=2,b=4$ and $c=5,$ then $d$ should be equal to ________.
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16.0k
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101
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Complex Analysis
gate2015-ec-2
numerical-answers
complex-analysis
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–
0
votes
0
answers
14
GATE ECE 2015 Set 2 | Question: 4
The general solution of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{1+\cos 2y}{1-\cos 2x}$ is $ \tan y – \cot x = c\:\text{(c is a constant)}$ $\tan x – \cot y = c\:\text{(c is a constant)}$ $\tan y + \cot x = c\:\text{(c is a constant)}$ $\tan x + \cot y = c\:\text{(c is a constant)}$
The general solution of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{1+\cos 2y}{1-\cos 2x}$ is$ \tan y – \cot x = c\:\text{(c is a constant)}...
Milicevic3306
16.0k
points
71
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Mar 27, 2018
Differential Equations
gate2015-ec-2
differential-equations
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–
0
votes
0
answers
15
GATE ECE 2015 Set 2 | Question: 5
The magnitude and phase of the complex Fourier series coefficients ܽ$a_{k}$ of a periodic signal $x(t)$ are shown in the figure. Choose the correct statement from the four choices given. Notation: $C$ is the set of complex numbers, ܴ$R$ is the set of purely ... $x(t)\in P$ $x(t)\in (C-R)$ the information given is not sufficient to draw any conclusion about $x(t)$
The magnitude and phase of the complex Fourier series coefficients ܽ$a_{k}$ of a periodic signal $x(t)$ are shown in the figure. Choose the correct statement from the fo...
Milicevic3306
16.0k
points
152
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Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
continuous-time-signals
signals-and-systems
fourier-transform
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–
0
votes
0
answers
16
GATE ECE 2015 Set 2 | Question: 6
The voltage $(ܸV_{C})$ across the capacitor (in Volts) in the network shown is ______.
The voltage $(ܸV_{C})$ across the capacitor (in Volts) in the network shown is ______.
Milicevic3306
16.0k
points
92
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
17
GATE ECE 2015 Set 2 | Question: 7
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
Milicevic3306
16.0k
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111
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Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
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–
0
votes
0
answers
18
GATE ECE 2015 Set 2 | Question: 8
The $2$-port admittance matrix of the circuit shown is given by $\begin{bmatrix}0.3 &0.2 \\0.2 &0.3 \end{bmatrix}$ $\begin{bmatrix} 15&5 \\5 &15 \end{bmatrix}$ $\begin{bmatrix} 3.33&5 \\5 &3.33 \end{bmatrix}$ $\begin{bmatrix} 0.3&0.4 \\0.4 &0.3 \end{bmatrix}$
The $2$-port admittance matrix of the circuit shown is given by$\begin{bmatrix}0.3 &0.2 \\0.2 &0.3 \end{bmatrix}$$\begin{bmatrix} 15&5 \\5 &15 \end{bmatrix}$$\begin{bmatr...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
analog-circuits
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–
0
votes
0
answers
19
GATE ECE 2015 Set 2 | Question: 9
An $n$-type silicon sample is uniformly illuminated with light which generates $10^{20}$ electron-hole pairs per $cm^{3}$ per second. The minority carrier lifetime in the sample is $1\mu s$. In the steady state, the hole concentration in the sample is approximately $10^{x}$, where $x$ is an integer. The value of $x$ is _______.
An $n$-type silicon sample is uniformly illuminated with light which generates $10^{20}$ electron-hole pairs per $cm^{3}$ per second. The minority carrier lifetime in the...
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16.0k
points
144
views
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Mar 27, 2018
Electronic Devices
gate2015-ec-2
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
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–
0
votes
0
answers
20
GATE ECE 2015 Set 2 | Question: 10
A piece of silicon is doped uniformly with phosphorous with a doping concentration of $10^{16}/cm^{3}.$ The expected value of mobility versus doping concentration for silicon assuming full dopant ionization is shown below. The charge of an electron is $1.6 \times 10^{-19} \:C.$ The conductivity $\text{(in S } cm^{-1})$ of the silicon sample at $300\:K$ is _______.
A piece of silicon is doped uniformly with phosphorous with a doping concentration of $10^{16}/cm^{3}.$ The expected value of mobility versus doping concentration for sil...
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16.0k
points
94
views
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Electronic Devices
gate2015-ec-2
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
21
GATE ECE 2015 Set 2 | Question: 11
If the circuit shown has to function as a clamping circuit, then which one of the following conditions should be satisfied for the sinusoidal signal of period $T?$ $RC \ll T$ $RC = 0.35\: T$ $RC \approx T$ $RC \gg T$
If the circuit shown has to function as a clamping circuit, then which one of the following conditions should be satisfied for the sinusoidal signal of period $T?$$RC \l...
Milicevic3306
16.0k
points
180
views
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asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
analog-circuits
clamping-circuits
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–
0
votes
0
answers
22
GATE ECE 2015 Set 2 | Question: 12
In the circuit shown, $V_{0} = V_{0A}$ for switch $SW$ in position $A$ and $V_{0} = V_{0B}$ for $SW$ in position $B$. Assume that the opamp is ideal. The value of $\dfrac{V_{0B}}{V_{0A}}$ is ___________.
In the circuit shown, $V_{0} = V_{0A}$ for switch $SW$ in position $A$ and $V_{0} = V_{0B}$ for $SW$ in position $B$. Assume that the opamp is ideal. The value of $\dfrac...
Milicevic3306
16.0k
points
86
views
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asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
numerical-answers
analog-circuits
op-amps
+
–
0
votes
0
answers
23
GATE ECE 2015 Set 2 | Question: 13
In the bistable circuit shown, the ideal opamp has saturation levels of $\pm\: 5\: V.$ The value of $R_{1} \text{(in}\: k\Omega)$ that gives a hysteresis width of $500\: mV$ is ________.
In the bistable circuit shown, the ideal opamp has saturation levels of $\pm\: 5\: V.$ The value of $R_{1} \text{(in}\: k\Omega)$ that gives a hysteresis width of $500\: ...
Milicevic3306
16.0k
points
147
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
numerical-answers
analog-circuits
op-amps
+
–
1
votes
0
answers
24
GATE ECE 2015 Set 2 | Question: 14
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively, NOR, OR OR, NAND NAND, OR AND,NAND
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively,NOR, OROR, NANDNAND, ORAND,NA...
Milicevic3306
16.0k
points
159
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-2
digital-circuits
combinational-circuits
logic-gates
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–
0
votes
0
answers
25
GATE ECE 2015 Set 2 | Question: 15
In an $8085$ microprocessor, which one of the following instructions changes the content of the accumulator? MOV B, M PCHL RNZ SBI BEH
In an $8085$ microprocessor, which one of the following instructions changes the content of the accumulator?MOV B, MPCHLRNZSBI BEH
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-2
digital-circuits
microprocessor-8085
+
–
0
votes
0
answers
26
GATE ECE 2015 Set 2 | Question: 16
A mod-$n$ counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of $n$ is _______.
A mod-$n$ counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of $n$ is _______.
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16.0k
points
254
views
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asked
Mar 27, 2018
Number Representations
gate2015-ec-2
numerical-answers
digital-circuits
sequential-circuit
counters
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–
0
votes
0
answers
27
GATE ECE 2015 Set 2 | Question: 17
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$ ... ݆$j\Omega$ axis a parallel strip not containing the ݆$j\Omega$ axis the entire $s$- plane a half plane containing the ݆$j\Omega$ axis
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$. The region of converge...
Milicevic3306
16.0k
points
125
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
28
GATE ECE 2015 Set 2 | Question: 18
Two causal discrete-time signals $x[n]$ and $y[n]$ are related as $y[n] = \displaystyle{}\sum _{m=0}^{n} x[m]$. If the $z$-transform of $y[n]$ is $\dfrac{2}{z(z-1)^{2}},$ the value of $x[2]$ is _______.
Two causal discrete-time signals $x[n]$ and $y[n]$ are related as $y[n] = \displaystyle{}\sum _{m=0}^{n} x[m]$. If the $z$-transform of $y[n]$ is $\dfrac{2}{z(z-1)^{2}},$...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
+
–
0
votes
0
answers
29
GATE ECE 2015 Set 2 | Question: 19
By performing cascading and/or summing/differencing operations using transfer function blocks $G_{1}(s )$ and $G_{2}(s),$ one CANNOT realize a transfer function of the form $G_{1}(s)G_{2}(s) \\$ $\dfrac{G_{1}(s)}{G_{2}(s)} \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} + G_{2}(s)\right) \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} - G_{2}(s)\right)$
By performing cascading and/or summing/differencing operations using transfer function blocks $G_{1}(s )$ and $G_{2}(s),$ one CANNOT realize a transfer function of the f...
Milicevic3306
16.0k
points
218
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
transfer-function
+
–
0
votes
0
answers
30
GATE ECE 2015 Set 2 | Question: 20
For the signal flow graph shown in the figure, the value of $\dfrac{C(s)}{R(s)}$ is $\dfrac{G_{1}G_{2}G_{3}G_{4}}{1 - G_{1}G_{2}H_{1} - G_{3}G_{4}H_{2} - G_{2}G_{3}H_{3} +G_{1}G_{2}G_{3}G_{4}H_{1}H_{2}} \\$ ... $\dfrac{1}{1 - G_{1}G_{2}H_{1} - G_{3}G_{4}H_{2} - G_{2}G_{3}H_{3} +G_{1}G_{2}G_{3}G_{4}H_{1}H_{2}}$
For the signal flow graph shown in the figure, the value of $\dfrac{C(s)}{R(s)}$ is $\dfrac{G_{1}G_{2}G_{3}G_{4}}{1 – G_{1}G_{2}H_{1} – G_{3}G_{4}H_{2} – G_{2}G_{3}...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-2
control-systems
signal-flow-graph
+
–
0
votes
0
answers
31
GATE ECE 2015 Set 2 | Question: 21
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________.
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________...
Milicevic3306
16.0k
points
180
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
32
GATE ECE 2015 Set 2 | Question: 22
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is $31.8\: dB,$ the number of levels in the quantizer is __________.
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
+
–
0
votes
0
answers
33
GATE ECE 2015 Set 2 | Question: 23
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ ... $\dfrac{15}{2}\left(\dfrac{\sin (\pi t)}{\pi t}\right)\cos\left(40\pi t - \dfrac{\pi}{2}\right)$
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ The sampled signal is passed through a filter with impulse ...
Milicevic3306
16.0k
points
168
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
continuous-time-signals
sampling-theorem
+
–
0
votes
0
answers
34
GATE ECE 2015 Set 2 | Question: 24
In a source free region in vacuum, if the electrostatic potential $\varphi = 2x^{2} + y^{2} + cz^{2},$ the value of constant ܿ$c$ must be _______.
In a source free region in vacuum, if the electrostatic potential $\varphi = 2x^{2} + y^{2} + cz^{2},$ the value of constant ܿ$c$ must be _______.
Milicevic3306
16.0k
points
127
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-2
numerical-answers
electromagnetics
+
–
0
votes
0
answers
35
GATE ECE 2015 Set 2 | Question: 25
The electric field of a uniform plane electromagnetic wave is $\overrightarrow{E} = \left(\overrightarrow{a}_{x} + j 4 \overrightarrow{a}_{y}\right) \text{exp }[j(2\pi \times 10^{7}t – 0.2z)].$ The polarization of the wave is right handed circular right handed elliptical left handed circular left handed elliptical
The electric field of a uniform plane electromagnetic wave is$$\overrightarrow{E} = \left(\overrightarrow{a}_{x} + j 4 \overrightarrow{a}_{y}\right) \text{exp }[j(2\pi \t...
Milicevic3306
16.0k
points
80
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-2
electromagnetics
+
–
0
votes
0
answers
36
GATE ECE 2015 Set 2 | Question: 26
Consider the differential equation $\dfrac{\mathrm{d} x }{\mathrm{d} t} = 10 – 0.2x$ with initial condition $x(0) = 1$. The response $x(t)$ for $t>0$ is $2-e^{-0.2t}$ $2-e^{0.2t}$ $50-49e^{-0.2t}$ $50-49e^{0.2t}$
Consider the differential equation $\dfrac{\mathrm{d} x }{\mathrm{d} t} = 10 – 0.2x$ with initial condition $x(0) = 1$. The response $x(t)$ for $t>0$ is$2-e^{-0.2t}$$2-...
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Differential Equations
gate2015-ec-2
differential-equations
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37
GATE ECE 2015 Set 2 | Question: 27
The value of the integral $\int_{-\infty}^{\infty} 12\cos(2\pi t) \dfrac{\sin(4\pi t)}{4 \pi t}dt$ is _________.
The value of the integral $\int_{-\infty}^{\infty} 12\cos(2\pi t) \dfrac{\sin(4\pi t)}{4 \pi t}dt$ is _________.
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Calculus
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numerical-answers
calculus
definite-integrals
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38
GATE ECE 2015 Set 2 | Question: 28
If $C$ denotes the counterclockwise unit circle, the value of the contour integral $\dfrac{1}{2\pi j}\oint_{C} Re\{z\}dz$ is __________.
If $C$ denotes the counterclockwise unit circle, the value of the contour integral $$\dfrac{1}{2\pi j}\oint_{C} Re\{z\}dz$$ is __________.
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Complex Analysis
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numerical-answers
complex-analysis
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39
GATE ECE 2015 Set 2 | Question: 29
Let the random variable $X$ represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of $X$ is _______.
Let the random variable $X$ represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of $X$ is _...
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Probability and Statistics
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numerical-answers
probability-and-statistics
probability
random-variable
expectation
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0
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0
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40
GATE ECE 2015 Set 2 | Question: 31
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
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Network Solution Methods
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numerical-answers
network-solution-methods
nortons
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