Register
Filter

Hot questions

0 votes
0 answers
81
GATE IN 2023 | Question: 33
The magnitude and phase plots shown in the figure match with the transfer-function______________. $\frac{10000}{s^2+2 s+10000} $ $ \frac{10000}{s^2+2 s+10000} e^{-0.05 s}$ $\frac{10000}{s^2+2 s+10000} e^{-0.5 \times 10^{-12} s} $ $\frac{100}{s^2+2 s+100}$
The magnitude and phase plots shown in the figure match with the transfer-function______________.$\frac{10000}{s^2+2 s+10000} $$ \frac{10000}{s^2+2 s+10000} e^{-0.05 s}$$...
0 votes
0 answers
83
GATE IN 2023 | Question: 4
Pair the quantities $\text{(p)}$ to $\text{(s)}$ with the measuring devices $\text{(i)}$ to $\text{(iv)}$ ... $\text{(i) - (q), (ii) - (s), (iii) - (p), (iv) - (r)}$
Pair the quantities $\text{(p)}$ to $\text{(s)}$ with the measuring devices $\text{(i)}$ to $\text{(iv)}$.$\begin{array}{|l|l|}\hline \text{(i) Linear Variable Differenti...
0 votes
0 answers
85
GATE IN 2023 | Question: 21
In the circuit given, the Thevenin equivalent resistance $\mathrm{R}_{\mathrm{th}}$ across the terminals '$\mathrm{a}$' and ' $\mathrm{b}$' is____________$\Omega$ (rounded off to one decimal place).
In the circuit given, the Thevenin equivalent resistance $\mathrm{R}_{\mathrm{th}}$ across the terminals '$\mathrm{a}$' and ' $\mathrm{b}$' is____________$\Omega$ (rounde...
0 votes
0 answers
88
GATE IN 2023 | Question: 47
Consider the real-valued function $g(x)=\max \left\{(x-2)^2,-2 x+7\right\}$, where $x \in(-\infty, \infty)$. The minimum value attained by $g(x)$ is_____________(rounded off to one decimal place).
Consider the real-valued function $g(x)=\max \left\{(x-2)^2,-2 x+7\right\}$, where $x \in(-\infty, \infty)$. The minimum value attained by $g(x)$ is_____________(rounded ...
0 votes
0 answers
94
GATE IN 2023 | Question: 43
Five measurements are made using a weighing machine, and the readings are $80 \mathrm{~kg}, 79 \mathrm{~kg}, 81 \mathrm{~kg}, 79 \mathrm{~kg}$ and $81 \mathrm{~kg}$. The sample standard deviation of the measurement ___________is $\mathrm{kg}$ (rounded off to two decimal places).
Five measurements are made using a weighing machine, and the readings are $80 \mathrm{~kg}, 79 \mathrm{~kg}, 81 \mathrm{~kg}, 79 \mathrm{~kg}$ and $81 \mathrm{~kg}$. The ...
0 votes
0 answers
95
GATE IN 2023 | Question: 14
The number of zeros of the polynomial $P(s)=s^{3}+2 s^{2}+5 s+80$ in the right- half plane is_________.
The number of zeros of the polynomial $P(s)=s^{3}+2 s^{2}+5 s+80$ in the right- half plane is_________.
0 votes
0 answers
96
GATE IN 2023 | Question: 19
Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rounded off to the nearest integer).
Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rou...
0 votes
0 answers
97
GATE IN 2023 | Question: 20
When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
0 votes
0 answers
98
GATE IN 2023 | Question: 49
The opamps in the circuit are ideal. The input signals are $\mathrm{V}_{\mathrm{S} 1}=3+0.10 \sin (300 t) ~ \mathrm{V} \text { and } \mathrm{V}_{\mathrm{S} 2}=-2+0.11 \sin (300 t) ~ \mathrm{V}$ The average value of the voltage $V_0$ is_____________$\text{V}$ (rounded off to two decimal places).
The opamps in the circuit are ideal. The input signals are$$\mathrm{V}_{\mathrm{S} 1}=3+0.10 \sin (300 t) ~ \mathrm{V} \text { and } \mathrm{V}_{\mathrm{S} 2}=-2+0.11 \si...
0 votes
0 answers
99
GATE IN 2023 | Question: 7
Match the Exclusive-$\text{OR (XOR)}$ operations $\text{(i)}$ to $\text{(iv)}$ with the results $\text{(p)}$ to $\text{(s),}$ where $X$ ... $\text{(i) - (p), (ii) - (s), (iii) - (q), (iv) - (r)}$ $\text{(i) - (q), (ii) - (p), (iii) - (s), (iv) - (r)}$
Match the Exclusive-$\text{OR (XOR)}$ operations $\text{(i)}$ to $\text{(iv)}$ with the results $\text{(p)}$ to $\text{(s),}$ where $X$ is a Boolean input.$$\begin{array}...
0 votes
0 answers
100
GATE IN 2023 | Question: 8
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased. forward, forward forward, reverse reverse, reverse reverse, forward
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased.forward...
0 votes
0 answers
101
GATE IN 2023 | Question: 10
The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is $x(t)=2 e^{-k t}+2 k t-1$ $x(t)=2 e^{-k t}-1$ $x(t)=1$ $x(t)=2 e^{-k t}-k t-1$
The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is$x(t)=2 e^{-k t}+2 k t-1$$x(t...
0 votes
0 answers
102
GATE IN 2023 | Question: 13
What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$ $0$ $1$ $\infty$ Limit does not exist
What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$$0$$1$$\infty$Limit does not exist
0 votes
0 answers
104
GATE IN 2023 | Question: 52
In the circuit shown, assuming an ideal opamp, the value of the output voltage $\mathrm{V}_{\mathrm{o}}=$____________$\mathrm{V}$ (rounded off to one decimal place).
In the circuit shown, assuming an ideal opamp, the value of the output voltage$\mathrm{V}_{\mathrm{o}}=$____________$\mathrm{V}$ (rounded off to one decimal place).
0 votes
0 answers
106
GATE IN 2023 | Question: 23
The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowing through the resistor $\mathrm{R}$ is______________$\mathrm{mA}$ (rounded off to two decimal places).
The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowi...
0 votes
0 answers
109
GATE IN 2023 | Question: 17
The force per unit length between two infinitely long parallel conductors, with a gap of $2 \mathrm{~cm} $ between them is $10~ \mu \mathrm{N} / \mathrm{m}.$ When the gap is doubled, the force per unit length will be____________$\mu \mathrm{N} / \mathrm{m}$ (rounded off to one decimal place).
The force per unit length between two infinitely long parallel conductors, with a gap of $2 \mathrm{~cm} $ between them is $10~ \mu \mathrm{N} / \mathrm{m}.$ When the gap...
0 votes
0 answers
110
GATE IN 2023 | Question: 53
The rank of the matrix $A$ given below is one. The ratio $\frac{\alpha}{\beta}$ is __________ (rounded off to the nearest integer). $A=\left[\begin{array}{cc} 1 & 4 \\ -3 & \alpha \\ \beta & 6 \end{array}\right]$
The rank of the matrix $A$ given below is one. The ratio $\frac{\alpha}{\beta}$ is __________ (rounded off to the nearest integer).$$A=\left[\begin{array}{cc}1 & 4 \\-3 &...
0 votes
0 answers
111
GATE IN 2023 | Question: 3
Which of the following flow meters offers the lowest resistance to the flow? Turbine flow meter Orifice flow meter* Venturi meter Electromagnetic flow meter
Which of the following flow meters offers the lowest resistance to the flow? Turbine flow meter Orifice flow meter* Venturi meter Electromagnetic flow meter
0 votes
0 answers
112
GATE IN 2023 | Question: 6
The table shows the present state $\mathrm{Q}(\mathrm{t})$, next state $\mathrm{Q}(\mathrm{t}+1)$ ... $\text{T}$ flip-flop $\text{D}$ flip-flop $\text{SR}$ flip-flop $\text{JK}$ flip-flop
The table shows the present state $\mathrm{Q}(\mathrm{t})$, next state $\mathrm{Q}(\mathrm{t}+1)$, and the control input in a flip-flop. Identify the flip-flop.$$\begin{a...
0 votes
0 answers
114
GATE IN 2023 | Question: 15
The number of times the Nyquist plot of $G(s) H(s)=\frac{1}{2} \frac{(s-1)(s-2)}{(s+1)(s+2)}$ encircles the origin is_______________.
The number of times the Nyquist plot of $G(s) H(s)=\frac{1}{2} \frac{(s-1)(s-2)}{(s+1)(s+2)}$ encircles the origin is_______________.
0 votes
0 answers
116
GATE IN 2023 | Question: 34
A continuous real-valued signal $x(t)$ has finite positive energy and $x(t)=0, \forall \; t<0.$ From the list given below, select ALL the signals whose continuous-time Fourier transform is purely imaginary. $x(t)+x(-t)$ $x(t)-x(-t)$ $j(x(t)+x(-t))$ $j(x(t)-x(-t))$
A continuous real-valued signal $x(t)$ has finite positive energy and $x(t)=0, \forall \; t<0.$ From the list given below, select ALL the signals whose continuous-time Fo...
0 votes
0 answers
117
GATE IN 2023 | Question: 36
In the circuit shown, $\omega=100 \pi \mathrm{rad} / \mathrm{s}, \mathrm{R}_1=\mathrm{R}_2=2.2 \Omega$ and $\mathrm{L}=7 \mathrm{mH}$. The capacitance $C$ for which $Y_{\text {in }}$ is purely real is__________________$\mathrm{mF}$ (rounded off to two decimal places).
In the circuit shown, $\omega=100 \pi \mathrm{rad} / \mathrm{s}, \mathrm{R}_1=\mathrm{R}_2=2.2 \Omega$ and $\mathrm{L}=7 \mathrm{mH}$. The capacitance $C$ for which $Y_{\...
0 votes
0 answers
119
GATE IN 2023 | Question: 12
Choose the fastest logic family among the following: Transistor-Transistor Logic Emitter-Coupled Logic CMOS Logic Resistor-Transistor Logic
Choose the fastest logic family among the following: Transistor-Transistor Logic Emitter-Coupled Logic CMOS LogicResistor-Transistor Logic
0 votes
0 answers
120
GATE IN 2023 | Question: 18
Consider the discrete-time signal $x[n]=u[-n+5]-u[n+3],$ where $u[n]=\left\{\begin{array}{l}1 ; n \geq 0 \\ 0 ; n<0\end{array}\right . $ The smallest $n$ for which $x[n]=0$ is___________.
Consider the discrete-time signal $x[n]=u[-n+5]-u[n+3],$ where $u[n]=\left\{\begin{array}{l}1 ; n \geq 0 \\ 0 ; n<0\end{array}\right . $ The smallest $n$ for which $x[n]=...
Page: