Recent questions tagged gate2013-in

$\text{Statement:}$ There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.Which one ...

What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$

A car travels $8\;\text{km}$ in the first quarter of an hour, $6\;\text{km}$ in the second quarter and $16\;\text{km}$ in the third quarter. The average speed of the car ...

The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$$(0,\;1)$$(1,\;\...

Find the sum to $n$ terms of the series $10+84+734+….$$\frac{9(9^n+1)}{10}+1$$\frac{9(9^n-1)}{8}+1$$\frac{9(9^n-1)}{8}+n$$\frac{9(9^n-1)}{8}+n^2$

In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temper...

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...

A differential amplifier with signal terminals $X,Y,Z$ is connected as shown in Fig. (a) below for $CMRR$ measurement where the differential amplifier has an additional c...

A differential amplifier with signal terminals $X,Y,Z$ is connected as shown in Fig. (a) below for $CMRR$ measurement where the differential amplifier has an additional c...

Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based c...

Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based c...

Choose the grammatically $\text{CORRECT}$ sentence:Two and two add fourTwo and two become fourTwo and two are fourTwo and two make four

Complete the sentence:Dare _____________ mistakes.committo commitcommittedcommitting

$\text{Statement:}$ You can always give me a ring whenever you need.Which one of the following is the best inference from the above statement?Because I have a nice caller...

A tungsten wire used in a constant current hot wire anemometer has the following parameters :Resistance at $0^\circ C$ is $10\Omega$, Surface area is $10^{-4}m^2$, Linear...

A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...

A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...

A tungsten wire used in a constant current hot wire anemometer has the following parameters :Resistance at $0^\circ C$ is $10\Omega$, Surface area is $10^{-4}m^2$, Linear...

Two ammeters $A_1$ and $A_2$ measure the same current and provide readings $I_1$ and $I_2,$ respectively. The ammeter errors can be characterized as independent zero mea...

Measurement of optical absorption of a solution is disturbed by the additional stray light falling at the photo-detector. For estimation of the error caused by stray ligh...

In the circuit shown below, $\text{Q}_1$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $\...

The circuit below incorporates a permanent magnet moving coil milli-ammeter of range $1\;\text{mA}$ having a series resistance of $10\;\text{k}\Omega$. Assuming constant ...

The maximum value of the solution y(t) of the differential equation $y(t)+\ddot{y}(t)=0$ with initial conditions $\dot{y}(0)=1$ and $y(0)=1,$ for $t\underline{>}0$ is $1$...

In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is$4$$6$$8$$10$

A voltage $1000\sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts, is$\sin \omega t$$(\sin \omega t+|\sin \omeg...

The signal flow graph for a system is given below. The transfer function $\frac{Y(s)}{U(s)}$ for this system is given as $\frac{s+1}{5s^2+6s+2}$$\frac{s+1}{s^2+6s+2}$ $\f...

In the circuit shown below, if the source voltage $V_s=100\angle 53.13^\circ$ Volts, then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L$ ...

A signal $V_i(t)=10+10\sin 100\pi t+10\sin 4000 \pi t+10\sin 100000\pi t$ is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated fre...

The Laplace Transform representation of the triangular pulse shown below is $\frac{1}{s^2}[1+e^{-2s}]$$\frac{1}{s^2}[1-e^{-s}+e^{-2s}]$$\frac{1}{s^2}[1-e^{-s}+2e^{-2s}]$$...

Three capacitors $C_1,C_2$ and $C_3$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V$ and $2V$ respectively. For the in...

The impulse response of a continuous time system is given by $h(t)=\delta(t-1)+\delta (t-3)$. The value of the step response at $t=2$ is$0$$1$$2$$3$

For the circuit shown below, the knee current of the ideal Zener diode is $\text{10 mA}.$ To maintain $5 V$ across $R_L$, the minimum value of the load resistor $R_L$ in ...

Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When conn...

The open-loop transfer function of a dc motor is given as $\frac{\omega(s)}{V_a(s)}=\frac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of...

The following arrangement consists of an ideal transformer and an attenuator, which attenuates by a factor of 0.8. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to ...

Signals from fifteen thermocouples are multiplexed and each one is sampled once per second with a 16-bit $ADC$. The digital samples are converted by a parallel to serial...

Considering the transformer to be ideal, the transmission parameter $’A’$ of the 2-port network a shown in the figure below is $1.3$$1.4$$0.5$$2.0$

The bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $(20\;log|G(s)|)$ is $32$ dB and $-8$ dB at $1$ rad/s and $10$ rad/s respectively. The p...

In the feedback network shown below, if the feedback factor k is increased, then theinput impedance increases and output impedance decreasesinput impedance increases and ...

In the circuit shown below what is the output voltage $(V_{out})$ in Volts if a silicon transistor Q and an ideal op-amp are used?$-15$$-0.7$$+0.7$$+15$