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Questions by Milicevic3306

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41
GATE2016-31
The current $I_X$ in the circuit given below in $\text{milliampere}$ is $\_\_\_\_\_\_\_.$
The current $I_X$ in the circuit given below in $\text{milliampere}$ is $\_\_\_\_\_\_\_.$
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42
GATE2016-32
In the circuit shown below, $V_s=101\angle 0V, R=10\Omega$ and $\omega L=100\Omega$. The current $I_s$ is in phase with $V_s$. The magnitude of $I_s$ in $\text{milliampere}$ is $\_\_\_\_\_\_\_\_.$
In the circuit shown below, $V_s=101\angle 0V, R=10\Omega$ and $\omega L=100\Omega$. The current $I_s$ is in phase with $V_s$. The magnitude of $I_s$ in $\text{milliamper...
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45
GATE2016-35
The voltage $v(t)$ shown below is applied to the given circuit. $v(t)=3V$ for $t<0$ and $v(t)=6V$ for $t>0$. The value of current $i(t)$ at $t=1s$, in ampere is ____________.
The voltage $v(t)$ shown below is applied to the given circuit. $v(t)=3V$ for $t<0$ and $v(t)=6V$ for $t>0$. The value of current $i(t)$ at $t=1s$, in ampere is _________...
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46
GATE2016-36
For the periodic signal $x(t)$ shown below with period $T=8s$, the power in the 10th harmonic is __________. $0$ $\frac{1}{2} \left (\frac{2}{10\pi} \right)^2$ $\frac{1}{2} \left (\frac{4}{10\pi} \right)^2$ $\frac{1}{2} \left (\frac{4}{5\pi} \right)^2$
For the periodic signal $x(t)$ shown below with period $T=8s$, the power in the 10th harmonic is __________.$0$$\frac{1}{2} \left (\frac{2}{10\pi} \right)^2$$\frac{1}{2} ...
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47
GATE2016-37
The fundamental period $N_0$ of the discrete-time sinusoid $x[n]=\sin \left (\frac {301}{4}\pi n \right)$ is ____________.
The fundamental period $N_0$ of the discrete-time sinusoid $x[n]=\sin \left (\frac {301}{4}\pi n \right)$ is ____________.
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48
GATE2016-38
The transfer function $G(s)$ of a system which has the asymptotic Bode plot shown below is $10^4 \frac {(s-1)^2}{(s+100)^2}$ $10^4 \frac {(s+1)^2}{(s+100)^2}$ $10^4 \frac {(s+1)}{(s+100)^2}$ $10^4 \frac {(s-1)^2}{(s-100)^2}$
The transfer function $G(s)$ of a system which has the asymptotic Bode plot shown below is $10^4 \frac {(s-1)^2}{(s+100)^2}$$10^4 \frac {(s+1)^2}{(s+100)^2}$$10^4 \frac {...
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49
GATE2016-39
For the feedback system given below, the transfer function $G(s)=\frac{1}{(s+1)^2}$. The system $\text{CANNOT}$ be stabilized with $C(s)=1+\frac{3}{s}$ $C(s)=3+\frac{7}{s}$ $C(s)=3+\frac{9}{s}$ $C(s)=\frac{1}{s}$
For the feedback system given below, the transfer function $G(s)=\frac{1}{(s+1)^2}$. The system $\text{CANNOT}$ be stabilized with$C(s)=1+\frac{3}{s}$$C(s)=3+\frac{7}{s}$...
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50
GATE2016-40
Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below. $P(s)-(3), Q(s)-(2), R(s)-(1)$ $P(s)-(1), Q(s)-(2), R(s)-(3)$ $P(s)-(2), Q(s)-(1), R(s)-(3)$ $P(s)-(1), Q(s)-(3), R(s)-(2)$
Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below.$P(s)-(3), Q(s)-(2), R(s)-(1)$$P(s)-(1), Q(s)-(2), R(s)-(3)$$...
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51
GATE2016-41
An ideal opamp is used to realize a difference amplifier circuit given below having a gain of $10$. If $x=0.025$, the $CMRR$ of the circuit in $dB$ is $\_\_\_\_\_\_\_\_$.
An ideal opamp is used to realize a difference amplifier circuit given below having a gain of $10$. If $x=0.025$, the $CMRR$ of the circuit in $dB$ is $\_\_\_\_\_\_\_\_$....
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52
GATE2016-42
In the circuit given below, the opamp is ideal. The input $v_x$ is a sinusoid. To ensure $v_y=v_x$, the value of $C_N$ in $\text{picofarad}$ is $\_\_\_\_\_\_\_$.
In the circuit given below, the opamp is ideal. The input $v_x$ is a sinusoid. To ensure $v_y=v_x$, the value of $C_N$ in $\text{picofarad}$ is $\_\_\_\_\_\_\_$.
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53
GATE2016-43
In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$
In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$
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60
GATE2016-50
In the circuit below, the opamp is ideal and the sensor is an $RTD$ whose resistance $R_\theta=1000(1+0.004\;\theta)\Omega$, where $\theta$ is temperature in $^0C$. The output sensitivity in $mV/^0C$ is $\_\_\_\_\_\_\_\_$.
In the circuit below, the opamp is ideal and the sensor is an $RTD$ whose resistance $R_\theta=1000(1+0.004\;\theta)\Omega$, where $\theta$ is temperature in $^0C$. The o...
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63
GATE2016-53
The bandgap in $eV$ of a semiconductor material required to construct an $LED$ that emits peak power at the wavelength of $620\;nm$ is $\_\_\_\_\_\_\_.$ (Plank constant $h=4.13567\times10^{-15}\;eV\;s$ and speed of light $c=2.998\times10^8\;m/s$).
The bandgap in $eV$ of a semiconductor material required to construct an $LED$ that emits peak power at the wavelength of $620\;nm$ is $\_\_\_\_\_\_\_.$(Plank constant $h...
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64
GATE2016-54
The signal $m(t)=\frac{\sin(100\;\pi t)}{100\; \pi t}$ is frequency modulated $(FM)$ with an $FM$ Modulator of frequency deviation constant of $30\;kHz/V$. Using Carson’s rule, the approximate bandwidth of the modulated wave in $\text{kilohertz}$ is $\_\_\_\_\_\_\_\_$.
The signal $m(t)=\frac{\sin(100\;\pi t)}{100\; \pi t}$ is frequency modulated $(FM)$ with an $FM$ Modulator of frequency deviation constant of $30\;kHz/V$. Using Carson�...
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65
GATE2016-55
A signal $m(t)$ varies from $-3.5\;V$ to $+3.5\;V$ with an average power of $3\;W$. The signal is quantized using a midtread type quantizer and subsequently binary encoded. With the codeword of length $3$, the signal to quantization noise ratio in $dB$ is $\_\_\_\_\_\_\_\_.$
A signal $m(t)$ varies from $-3.5\;V$ to $+3.5\;V$ with an average power of $3\;W$. The signal is quantized using a midtread type quantizer and subsequently binary encode...
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66
GATE2015-1
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Apparent lifelessness $\_\_\_\_\_\_\_\_\_\_\_\_$ dormant life. harbours leads to supports affects
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:Apparent lifelessness $\_\_\_\_\_\_\_\_\_\_\_\_$ dormant life....
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67
GATE2015-2
$\text{Fill in the blank with the correct idiom/phase}$. That boy from the town was a $\_\_\_\_\_\_\_\_\_\_\_\_$ in the sleepy village. dog out of herd sheep from the heap fish out of water bird from the flock
$\text{Fill in the blank with the correct idiom/phase}$.That boy from the town was a $\_\_\_\_\_\_\_\_\_\_\_\_$ in the sleepy village.dog out of herdsheep from the heapfi...
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69
GATE2015-4
Tanya is older than Eric. Cliff is older than Tanya Eric is older than cliff. If the first two statements are true, then the third statement is: True False Uncertain Data insufficient
Tanya is older than Eric.Cliff is older than TanyaEric is older than cliff.If the first two statements are true, then the third statement is:TrueFalseUncertainData insuff...
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70
GATE2015-5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches? $20$ $10$ $8$ $5$
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to c...
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73
GATE2015-8
In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2$ is $\_\_\_\_\_\_\_\_\_\_\_.$
In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2...
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76
GATE2015-11
Let $A$ be an $n\times n$ matrix with rank $r(0<r<n).$ Then $\text{Ax=0}$ has $p$ independent solutions, where $p$ is $r$ $n$ $n-r$ $n+r$
Let $A$ be an $n\times n$ matrix with rank $r(0<r<n).$ Then $\text{Ax=0}$ has $p$ independent solutions, where $p$ is$r$$n$$n-r$$n+r$
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77
GATE2015-12
The value of $\oint \frac{1}{Z^2} dZ,$ where the contour is the unit circle traversed clockwise, is $-2\pi i$ $0$ $2\pi i$ $4\pi i$
The value of $\oint \frac{1}{Z^2} dZ,$ where the contour is the unit circle traversed clockwise, is$-2\pi i$$0$$2\pi i$$4\pi i$
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78
GATE2015-13
The double integral $\int_0^a \int_0^y f(x,y) dx\;dy$ is equivalent to $\int_0^x\int_0^y f(x,y) dx\;dy$ $\int_0^a \int_x^y f(x,y) dx\;dy$ $\int_0^a \int_x^a f(x,y) dy\;dx$ $\int_0^a \int_0^a f(x,y) dx\;dy$
The double integral $\int_0^a \int_0^y f(x,y) dx\;dy$ is equivalent to$\int_0^x\int_0^y f(x,y) dx\;dy$$\int_0^a \int_x^y f(x,y) dx\;dy$$\int_0^a \int_x^a f(x,y) dy\;dx$$\...
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79
GATE2015-14
The magnitude of the directional derivative of the function $f(x,y)=x^2+3y^2$ in a direction normal to the circle $x^2+y^2=2,$ at the point $(1,1),$ is $4\sqrt{2}$ $5\sqrt{2}$ $7\sqrt{2}$ $9\sqrt{2}$
The magnitude of the directional derivative of the function $f(x,y)=x^2+3y^2$ in a direction normal to the circle $x^2+y^2=2,$ at the point $(1,1),$ is$4\sqrt{2}$$5\sqrt{...
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80
GATE2015-15
The figure shows a half-wave rectifier circuit with input voltage $V(t)=10\sin(100\;\pi t)$ volts. Assuming ideal diode characteristics with zero forward voltage drop and zero reverse current, the average power consumed in watts by the load resistance $R_L$ is $\_\_\_\_\_\_\_\_\_ W$.
The figure shows a half-wave rectifier circuit with input voltage $V(t)=10\sin(100\;\pi t)$ volts. Assuming ideal diode characteristics with zero forward voltage drop and...
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