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0
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1
GATE2017240
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value of var{Y}, where var{.} denotes the variance, equals $\frac{7}{8}$ $\frac{49}{64}$ $\frac{7}{64}$ $\frac{105}{64}$
asked
Feb 27, 2017
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Arjun
(
5.4k
points)
gate2017ee2
0
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0
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2
GATE2015252
The following discretetime equations result from the numerical integration of the differential equations of an undamped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\frac{x_{k+1}x_{k}}{h}=y_{k}$ ... stable for $0 < h <\frac{1}{2\pi}$ The system is stable for $\frac{1}{2\pi}<h<\frac{1}{\pi}$
asked
Feb 12, 2017
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makhdoom ghaya
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9.2k
points)
gate2015ee2
0
votes
0
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3
GATE2017214
A $3$phase, $4$pole, $400$V, $50$Hz squirrelcage induction motor is operating at a slip of $0.02$. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to $1500$ $1470$ $157$ $154$
asked
Feb 27, 2017
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by
Arjun
(
5.4k
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gate2017ee2
0
votes
0
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4
GATE20184
asked
Feb 19, 2018
in
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by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
5
GATE2017255
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of a soap (assuming ... , of the resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
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by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
6
GATE2017249
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$ The minimum number of clock cycles after which the output $Z$ would again become zero is _________.
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
0
votes
0
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7
GATE2015150
A $200/400$ V, $50$ Hz, twowinding transformer is rated at $20$ kVA. Its windings are connected as an autotransformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the autotransformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.2k
points)
gate2015ee1
twowinding
transformer
autotransformer
0
votes
0
answers
8
GATE201851
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
9
GATE2019 EE: 39
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
10
GATE201714
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will Bend closer to the cylinder axis Bend farther away from the axis Remain uniform as before Cease to exist inside the cylinder
asked
Feb 27, 2017
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by
Arjun
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5.4k
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gate2017ee1
0
votes
1
answer
11
GATE201814
asked
Feb 19, 2018
in
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by
Arjun
(
5.4k
points)
gate2018ee
0
votes
1
answer
12
GATE201852
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
13
GATE201850
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
+1
vote
1
answer
14
GATE201721
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red ball in the second draw is $\frac{1}{2}$ $\frac{4}{9}$ $\frac{5}{9}$ $\frac{6}{9}$
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
15
GATE201854
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
16
GATE201841
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
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gate2018ee
0
votes
0
answers
17
GATE2017151
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ are $p_{k}=\frac{1}{\sqrt{2}} \text{exp}(j\frac{(2k1)\pi}{4})$ ... all at $z=0$. Let $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)
asked
Feb 27, 2017
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Arjun
(
5.4k
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gate2017ee1
0
votes
0
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18
GATE2017224
The nominal $\pi$ circuit of a transmission line is shown in the figure. Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the characteristic impedance of the transmission line, in $\Omega$, is __________. (Give the answer up to one decimal place.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
0
votes
0
answers
19
GATE201844
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
20
GATE2019 EE: 49
asked
Feb 12
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by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
21
GATE2017144
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
in
Others
by
Arjun
(
5.4k
points)
gate2017ee1
0
votes
0
answers
22
GATE2019 EE: 28
A periodic function $\large{f(t)},$ with a period of 2$\pi$, is represented as its fourier series, $\large{f(t)} = a_0 + \sum_{n=1}^{\infty }a_n cos nt + \sum_{n=1}^{\infty} b_n sin nt.$}$ If $\large{f(t)} = \left\{\begin{matrix} Asint, & 0 \le t\le \pi\\ 0, & \pi ... $a_1 = \frac{A}{2}; b_1 = 0$ $a_1 = 0;b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
asked
Feb 12
in
new
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Arjun
(
5.4k
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gate2019ee
0
votes
0
answers
23
GATE201853
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
24
GATE201810
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
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gate2018ee
0
votes
0
answers
25
GATE2017137
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the output, is NOT NOR NAND XOR
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
0
votes
0
answers
26
GATE201846
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
27
GATE201818
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
28
GATE201819
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
29
GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\epsilon_{r1} = 2.$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\epsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\epsilon_{r2}$ is _________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
30
GATE201855
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
31
GATE2019 EE: 21
The $Y_{bus}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{bus} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$ The magnitudde of the series reactance of each line in pu (round off upto one decimal place) is__________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
32
GATE201842
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
33
GATE201843
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
34
GATE201833
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
35
GATE2017212
In the circuit shown, the diodes are ideal, the inductance is small, and $I_{0} \neq 0$. Which one of the following statements is true? $D_{1}$ conducts for greater than $180^{\circ}$ and $D_{2}$ conducts for greater than $180^{\circ}$. $D_{2}$ conducts for more than ... $180^{\circ}$. $D_{1}$ conducts for more than $180^{\circ}$ and $D_{2}$ conducts for $180^{\circ}$.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
36
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _____
asked
Feb 12
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Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
37
GATE201824
asked
Feb 19, 2018
in
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by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
38
GATE201826
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
39
GATE201817
asked
Feb 19, 2018
in
new
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Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
40
GATE201813
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
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