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721
GATE2012-60
Choose the most appropriate word from the options given below to complete the following sentence: $\text{Given the seriousness of the situation that he had to face, his ___ was impressive}$. beggary nomenclature jealousy nonchalance
Choose the most appropriate word from the options given below to complete the following sentence:$\text{Given the seriousness of the situation that he had to face, his __...
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0 answers
722
GATE2012-59
Which one of the following options is the closest in meaning to the word given below? $\text{Latitude}$ Eligibility Freedom Coercion Meticulousness
Which one of the following options is the closest in meaning to the word given below?$\text{Latitude}$EligibilityFreedomCoercionMeticulousness
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0 answers
724
GATE2012-57
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=$ $2.23$ $4.33$ $11.37$ $27.64$
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=$$2.23$$4.33$$11.37$$27.64$
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0 answers
725
GATE2012-56
Choose the most appropriate alternative from the options given below to complete the following sentence: $\text{If the tired soldier wanted to lie down, he___ the mattress out on the balcony.}$ should take shall take should have taken will have taken
Choose the most appropriate alternative from the options given below to complete the following sentence:$\text{If the tired soldier wanted to lie down, he___ the mattress...
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726
GATE2012-55
If $R_L=5\;\Omega,$ the approximate power consumption in the load is $700\;\text{W}$ $750\;\text{W}$ $800\;\text{W}$ $850\;\text{W}$
If $R_L=5\;\Omega,$ the approximate power consumption in the load is $700\;\text{W}$$750\;\text{W}$$800\;\text{W}$$850\;\text{W}$
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0 answers
727
GATE2012-54
The power factor of the load is $0.45$ $0.50$ $0.55$ $0.60$
The power factor of the load is$0.45$$0.50$$0.55$$0.60$
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0 answers
728
GATE2012-53
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ The phase of the above lead compensator is maximum at $\sqrt{2}\;\text{rad/s}$ $\sqrt{3}\;\text{rad/s}$ $\sqrt{6}\;\text{rad/s}$ $\frac{1}{\sqrt{3}}\;\text{rad/s}$
The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at $\sqrt{2}\;\text{rad/s}$$\sqrt{3}\;\tex...
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729
GATE2012-52
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $\text{a=1, b=2}$ $\text{a=3, b=2}$ $\text{a=-3, b=-1}$ $\text{a=3, b=1}$
The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if $\text{a=1, b=2}$$\text{a=3, b=2}$$\text{a=-3, b=-1}$$\text...
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738
GATE2012-43
The open loop transfer function of a unity negative feedback control system is given by $G(s)=\frac{150}{s(s+9)(s+25)}$. The gain margin of the system is $10.8\;\text{dB}$ $22.3\;\text{dB}$ $34.1\;\text{dB}$ $45.6\;\text{dB}$
The open loop transfer function of a unity negative feedback control system is given by $G(s)=\frac{150}{s(s+9)(s+25)}$. The gain margin of the system is $10.8\;\text{dB}...
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741
GATE2012-40
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\int^{t}_{-\infty}x(\tau)\cos(3\tau)d\tau$. The system is time-invariant and stable stable and not time-invariant time-invariant and not stable not time-invariant and not stable
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\int^{t}_{-\infty}x(\tau)\cos(3\tau)d\tau$. The system is time-invariant and stablestable and not time...
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743
GATE2012-38
The feedback system shown below oscillates at $2\;\text{rad/s}$ when $K=2$ and $a=0.75$ $K=3$ and $a=0.75$ $K=4$ and $a=0.5$ $K=2$ and $a=0.5$
The feedback system shown below oscillates at $2\;\text{rad/s}$ when$K=2$ and $a=0.75$$K=3$ and $a=0.75$$K=4$ and $a=0.5$$K=2$ and $a=0.5$
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744
GATE2012-37
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n\;u[n]$ and $g[n]$ is a causal sequence. If $y[0]=1$ and $y[1]=1/2$, then $g[1]$ equals $0$ $1/2$ $1$ $3/2$
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n\;u[n]$ and $g[n]$ is a causal sequence. If $y[0]=1$ and $y =1/2$, then $g $ equals$0$$1/2$$1$$...
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745
GATE2012-36
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega.$ The value of $h(0)$ is $1/4$ $1/2$ $1$ $2$
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega.$ The value of $h(0)$ is $1/4$$1/2$$1$$2$
0 votes
0 answers
746
GATE2012-35
The state transition diagram for the logic circuit shown is
The state transition diagram for the logic circuit shown is
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0 answers
748
GATE2012-33
The voltage gain $A_v$ of the circuit shown below is $|A_v|\approx 200$ $|A_v|\approx 100$ $|A_v|\approx 20$ $|A_v|\approx 10$
The voltage gain $A_v$ of the circuit shown below is$|A_v|\approx 200$$|A_v|\approx 100$$|A_v|\approx 20$$|A_v|\approx 10$
0 votes
0 answers
749
GATE2012-32
Assuming both the voltage sources are in phase, the value of $\text{R}$ for which maximum power transferred from circuit $\text{A}$ to circuit $\text{B}$ is $0.8\;\Omega$ $1.4\;\Omega$ $2\;\Omega$ $2.8\;\Omega$
Assuming both the voltage sources are in phase, the value of $\text{R}$ for which maximum power transferred from circuit $\text{A}$ to circuit $\text{B}$ is $0.8\;\Omega$...
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750
GATE2012-31
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$ $2\;\text{V}$ $3\;\text{V}$ $6\;\text{V}$
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$$2\;\text{V}$$3\;\text{V}$$6\;\text{V}$
0 votes
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751
GATE2012-30
Consider the differential equation $\frac{d^2y(t)}{dt^2}+2\frac{dy(t)}{dt}+y(t)=\delta(t)$ with $y(t)|_{t=0^-}=-2$ and $\frac{dy}{dt}|_{t=0^-}=0$. The numerical value of $\frac{dy}{dt}|_{t=0^+}$ is $-2$ $-1$ $0$ $1$
Consider the differential equation$\frac{d^2y(t)}{dt^2}+2\frac{dy(t)}{dt}+y(t)=\delta(t)$ with $y(t)|_{t=0^-}=-2$ and $\frac{dy}{dt}|_{t=0^-}=0$.The numerical value of $\...
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0 answers
752
GATE2012-29
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1, 6]$ is $21$ $25$ $41$ $46$
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1, 6]$ is $21$$25$$41$$46$
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0 answers
753
GATE2012-28
The direction of vector $\text{A}$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\nabla.$ $\text{A=0}$ is $-2$ $2$ $1$ $0$
The direction of vector $\text{A}$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\nabla....
0 votes
0 answers
754
GATE2012-27
Given that $A=\begin{bmatrix}-5 &-3\\2 &0\end{bmatrix}$ and $I=\begin{bmatrix}1 & 0\\0 &1\end{bmatrix}$, the value of $A^3$ is $15A+12I$ $19A+30I$ $17A+15I$ $17A+21I$
Given that$A=\begin{bmatrix}-5 &-3\\2 &0\end{bmatrix}$ and $I=\begin{bmatrix}1 & 0\\0 &1\end{bmatrix}$, the value of $A^3$ is$15A+12I$$19A+30I$$17A+15I$$17A+21I$
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0 answers
755
GATE2012-26
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is $1/3$ $1/2$ $2/3$ $3/4$
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is$1/3$$1/2$$2/3$$3/4$
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0 answers
756
GATE2012-25
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridge Schering bridge De Sauty bridge Wien bridge
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge
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0 answers
758
GATE2012-23
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads $4\;\text{V}$ $5\;\text{V}$ $8\;\text{V}$ $10\;\text{V}$
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads$...
0 votes
0 answers
759
GATE2012-22
The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R$ to be used is $0.9\;\Omega$ $1.1\;\Omega$ $0.9\;k\Omega$ $1.1\;k\Omega$
The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R...
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