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164
GATE2013-12
The transfer function $\frac{V_2(s)}{V_1(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1}$ $\frac{3s+6}{s+2}$ $\frac{s+2}{s+1}$ $\frac{s+1}{s+2}$
The transfer function $\frac{V_2(s)}{V_1(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1}$$\frac{3s+6}{s+2}$$\frac{s+2}{s+1}$$\frac{s+1}{s+2}$
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165
GATE2018IN: 26
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$\overrightarrow{k}$, the value of the linear integral $\int_c$\overrightarrow{F}$ . d$\overrightarrow{l}$ along the straight line c from (0,0,0) to (1,1,1) is 3/16 0 -5/12 -1
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$$\overrightarrow{k}$, the value of the linear integral $\int_c$$\ove...
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166
GATE2018IN: 12
An input p(t) = sin(t) is applied to the system G(s) = $\frac{s-1}{s+1}$. The corresponding steady state output is y(t) = sin(t + $\varphi$), where the phase $\varphi$ (in degrees), when restricted to 0$^o$ $\leq$ $\varphi$ $\leq$ 360$^o$, is $\_\_\_\_\_\_$
An input p(t) = sin(t) is applied to the system G(s) = $\frac{s-1}{s+1}$. The corresponding steady state output is y(t) = sin(t + $\varphi$), where the phase $\varphi$ (i...
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167
GATE2020 IN: 31
Consider the function $f(x,y)=x^2+y^2.$ The minimum value the function attains on the line $x+y=1$ (rounded off to one decimal place) is __________.
Consider the function $f(x,y)=x^2+y^2.$ The minimum value the function attains on the line $x+y=1$ (rounded off to one decimal place) is __________.
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171
GATE2018IN: 24
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
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172
GATE2018IN: 22
As shown in the figure, temperature $\theta$ is measured using a $K$ type thermocouple. It has a sensitivity of 40 $\mu V/^{\circ}C$. The gain $(G)$ of the ideal instrumentations amplifier is $25$. If the output $V_0$ is $96 \;mV,$ then the value of $\theta$(in $^{\circ}$C) is ______________.
As shown in the figure, temperature $\theta$ is measured using a $K$ type thermocouple. It has a sensitivity of 40 $\mu V/^{\circ}C$. The gain $(G)$ of the ideal instrume...
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174
GATE IN 2022 | Question: 13
The output $\text{F}$ of the digital circuit shown can be written in the form(s) __________ $\overline{A \cdot B}$ $\overline{A} + \overline{B}$ $\overline{A+B}$ $\overline{A} \cdot \overline{B}$
The output $\text{F}$ of the digital circuit shown can be written in the form(s) __________$\overline{A \cdot B}$$\overline{A} + \overline{B}$$\overline{A+B}$$\overline{A...
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177
GATE IN 2022 | Question: 44
Given Circuit $\text{A}$ with currents $I_{1}$ and $I_{2}$ as shown, the current $I_{3}$ in Circuit $\text{B}$ (in amperes), is _________ (round off to one decimal place)
Given Circuit $\text{A}$ with currents $I_{1}$ and $I_{2}$ as shown, the current $I_{3}$ in Circuit $\text{B}$ (in amperes), is _________ (round off to one decimal place)...
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180
GATE IN 2021 | GA Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink neither tea nor coffee? $15$ $25$ $35$ $40$
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
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183
GATE2013-59
They were requested not to $\text{quarrel}$ with others. Which one of the following options is the closest in meaning to the word $\text{quarrel}$? make out call out dig out fall out
They were requested not to $\text{quarrel}$ with others.Which one of the following options is the closest in meaning to the word $\text{quarrel}$?make outcall outdig outf...
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185
GATE2018IN: 52
Assuming ideal opamp, the $RMS$ voltage (in mV) in the output $V{_o}$ only due to the $230V,\; 50\; Hz$ interference is (up to one decimal place) __________.
Assuming ideal opamp, the $RMS$ voltage (in mV) in the output $V{_o}$ only due to the $230V,\; 50\; Hz$ interference is (up to one decimal place) __________.
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188
GATE IN 2021 | Question: 15
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is ______________.
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is __________...
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189
GATE2020 IN: 54
In the Maxwell-Wien bridge shown, the detector D reads zero when $C_1=100 nF$ and $R_1=100 k\Omega$. The Q factor of the coil is ______
In the Maxwell-Wien bridge shown, the detector D reads zero when $C_1=100 nF$ and $R_1=100 k\Omega$. The Q factor of the coil is ______
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193
GATE2018IN: 20
A voltage of 6 cos(100$\pi$t) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are respectively 1 V/div and 1 ms/div 1 V/div and 2 ms/div 2 V/div and 1 ms/div 2 V/div and 2 ms/div
A voltage of 6 cos(100$\pi$t) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are r...
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194
GATE2018-GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
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195
GATE IN 2022 | Question: 11
The logic block shown has an output $F$ given by ________ $A + B$ $A \cdot \overline{B}$ $A + \overline{B}$ $\overline{B}$
The logic block shown has an output $F$ given by ________$A + B$$A \cdot \overline{B}$$A + \overline{B}$$\overline{B}$
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198
GATE IN 2021 | Question: 4
The input-output relationship of an $\text{LTI}$ system is given below. For an input $x\left [ n \right ]$ shown below the peak value of the output when $x\left [ n \right ]$ passes through $\text{h}$ is _____________. $2$ $4$ $5$ $6$
The input-output relationship of an $\text{LTI}$ system is given below.For an input $x\left [ n \right ]$ shown belowthe peak value of the output when $x\left [ n \right ...
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199
GATE2020: 12
The boolean operation performed by the following circuit at the output O is _______ $O=S_1\oplus S_0$ $O=S_1\bullet \overline{S_0}$ $O=S_1+S_0$ $O=S_0\bullet \overline{S_1}$
The boolean operation performed by the following circuit at the output O is _______$O=S_1\oplus S_0$$O=S_1\bullet \overline{S_0}$$O=S_1+S_0$$O=S_0\bullet \overline{S_1}$
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