Register
Filter

Recent questions

0 votes
0 answers
2441
GATE ECE 2015 Set 2 | Question: 42
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with $\beta \gg 1$. The open circuit small signal voltage gain is approximately _______.
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with $\beta \gg 1$. The open circuit small signal voltage gain ...
0 votes
0 answers
2445
GATE ECE 2015 Set 2 | Question: 46
The state variable representation of a system is given as $\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$ $y=\begin{bmatrix} 0 &1 \end{bmatrix} x$ The response $y(t)$ is $\sin(t)$ $1-e^{t}$ $1-\cos(t)$ $0$
The state variable representation of a system is given as$\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$$y=\begin{bm...
0 votes
0 answers
2447
GATE ECE 2015 Set 2 | Question: 48
The transfer function of a mass-spring-damper system is given by $G(S) = \dfrac{1}{Ms^{2}+Bs+K}$ ... The unit step response of the system approaches a steady state value of ________.
The transfer function of a mass-spring-damper system is given by $$G(S) = \dfrac{1}{Ms^{2}+Bs+K}$$The frequency response data for the system are given in the following ta...
0 votes
0 answers
2450
GATE ECE 2015 Set 2 | Question: 51
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, which one of the following pulses will give the minimum probability of bit error?
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, wh...
0 votes
0 answers
2451
GATE ECE 2015 Set 2 | Question: 52
Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to $pq+(1-p)(1-q)$ $pq$ $p(1-q)$ $1-pq$
Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to$pq+(1-p)(1-q)$$pq$$p(1-q)$...
0 votes
0 answers
2454
GATE ECE 2015 Set 2 | Question: 55
The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression ... The type of the polarization is Right Hand Circular Left Hand Elliptical Right Hand Elliptical Linear
The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression $$\text{E}(z,t) = \textbf{a}_{x} 5 \cos(2\pi \times ...
0 votes
0 answers
2455
GATE ECE 2015 Set 1 | GA Question: 1
Choose the most appropriate word from the options give below to complete the following sentence. The principal presented the chief guest with a __________, as token of appreciation. momento memento momentum’ moment
Choose the most appropriate word from the options give below to complete the following sentence.The principal presented the chief guest with a __________, as token of app...
0 votes
0 answers
2456
GATE ECE 2015 Set 1 | GA Question: 2
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence : Frogs_______ croak roar hiss patter
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence :Frogs_______croakroarhisspatter
0 votes
0 answers
2457
GATE ECE 2015 Set 1 | GA Question: 3
Choose the word most similar in meaning to the given word: Educe Expert Educate Extract Extend
Choose the word most similar in meaning to the given word:EduceExpertEducateExtractExtend
0 votes
0 answers
2458
GATE ECE 2015 Set 1 | GA Question: 4
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$ Find the value of $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $-2$ $-1$ $1$ $2$
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$Find the valu...
0 votes
0 answers
2459
GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
0 votes
0 answers
2463
GATE ECE 2015 Set 1 | GA Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...
0 votes
0 answers
2465
GATE ECE 2015 Set 1 | Question: 1
Consider a system of linear equations: $x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$ The value of $k$ for which the system has infinitely many solutions is ___________
Consider a system of linear equations:$$x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$$ The value of $k$ for which the system has infinitely many solutions is __...
0 votes
0 answers
2466
GATE ECE 2015 Set 1 | Question: 2
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is $-1/2$ $-1/3$ $1/3$ $1/2$
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is$...
0 votes
0 answers
2469
GATE ECE 2015 Set 1 | Question: 5
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is _________.
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 ...
0 votes
0 answers
2470
GATE ECE 2015 Set 1 | Question: 6
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
0 votes
0 answers
2471
GATE ECE 2015 Set 1 | Question: 7
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
0 votes
0 answers
2472
GATE ECE 2015 Set 1 | Question: 8
In the given circuit, the values of $V_1$ and $V_2$ respectively are $5$ V, $25$ V $10$ V, $30$ V $15$ V, $35$ V $0$ V, $20$ V
In the given circuit, the values of $V_1$ and $V_2$ respectively are$5$ V, $25$ V$10$ V, $30$ V$15$ V, $35$ V$0$ V, $20$ V
0 votes
0 answers
2475
GATE ECE 2015 Set 1 | Question: 11
For the circuit with ideal diodes shown in the figure, the shape of the output $v_{\text{out}}$ for the given sine wave input $v_{\text{in}}$ will be
For the circuit with ideal diodes shown in the figure, the shape of the output $v_{\text{out}}$ for the given sine wave input $v_{\text{in}}$ will be
0 votes
0 answers
2476
GATE ECE 2015 Set 1 | Question: 12
In the circuit shown below, the Zener diode is ideal and the Zener voltage is $6$ V. The output voltage $V_o$ (in volts) is ________.
In the circuit shown below, the Zener diode is ideal and the Zener voltage is $6$ V. The output voltage $V_o$ (in volts) is ________.
0 votes
0 answers
2477
GATE ECE 2015 Set 1 | Question: 13
In the circuit shown, the switch SW is thrown from position $A$ to position $B$ at time $t=0$. The energy (in $\mu J$) taken from the $3$ V source to charge the $0.1 \: \mu F$ capacitor from $0$ V t $3$ V is $0.3$ $0.45$ $0.9$ $3$
In the circuit shown, the switch SW is thrown from position $A$ to position $B$ at time $t=0$. The energy (in $\mu J$) taken from the $3$ V source to charge the $0.1 \: \...
0 votes
0 answers
2478
GATE ECE 2015 Set 1 | Question: 14
In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectively B and F A and F H and F A and C
In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectivelyB and FA and FH and FA and C
0 votes
0 answers
2479
GATE ECE 2015 Set 1 | Question: 15
A $16$ Kb ($=16,384$ bits) 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 ___________
A $16$ Kb ($=16,384$ bits) 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 addr...
0 votes
0 answers
2480
GATE ECE 2015 Set 1 | Question: 16
Consider a four bit $D$ to $A$ converter. The analog value corresponding to digital signals of values $0000$ and $0001$ are $0$ V and $0.0625$ V respectively. The analog value (in Volts) corresponding to the digital signal $1111$ is _________
Consider a four bit $D$ to $A$ converter. The analog value corresponding to digital signals of values $0000$ and $0001$ are $0$ V and $0.0625$ V respectively. The analog ...
Page: