Recent questions tagged gate2017-in

A series $R-L-C$ circuit is excited with an a.c. voltage source. The quality factor $(Q)$ of the circuit is given as $Q=30$. The amplitude of current in $\text{ampere}$ a...

In the circuit diagram, shown in the figure, $S_1$ was closed and $S_2$ was open for a very long time. At $t=0,\;S_1$ is opened and $S_2$ is closed. The voltage across th...

Consider two discrete-time signals:$x_1(n)$={1,1} and $x_2(n)$={1,2} , for $n=0,1$.The Z-transform of the convoluted sequence $x(n)=x_1(n)^*x_2(n)$ is$1+2z^{-1}+3z^{-2}$$...

Three $DFT$ coefficients, out of five $DFT$ coefficients of a five-point reall sequence are given as: $X(0)=4$, $X(1)=1-j1$ and $X(3)=2+j2$. The zeroth value of the seque...

The Laplace transform of a casual signal $y(t)$ is $Y(s)$ = $\frac{s+2}{s+6}$. The value of the signal $y(t)$ at $t $ = $0.1\:s$ is_____________ unit.

The block diagram of a closed-loop control system is shown in the figure. The values of $K$ and $K_p$ are such that the system has a damping ratio of $0.8$ and an undampe...

The loop transfer function of a closed-loop system is given by $G(s)H(s)=\frac{K(s+6)}{s(s+2)}$. The breakaway point of the root-loci will be ___________.

A closed-loop system is shown in the figure. The system parameter $\alpha$ is not known. The condition for asymptotic stability of the closed loop system is $\alpha<-0.5$...

The overall closed loop transfer function $\frac{C(s)}{R(s)}$ ,represented in the figure, will be $\frac{(G_1(S)+G_2(S))G_3(S)}{1+(G_1(S)+G_2(S))(H_1(S)+G_3(S))}$$\frac{(...

Assuming the opamp shown in the figure to be ideal, the frequency at which the magnitude of $V_\circ$ will be $95\%$ of the magnitude of $V_{in}$ is ______________$kHz$.

In the circuit, shown in the figure, the MOSFET is operating in the saturation zone. The characteristics of the MOSFET is given by $I_D=\frac{1}{2}(V_{GS}-1)^2$ $mA$, whe...

The two-input voltage multiplier, shown in the figure, has a scaling factor of $1$ and produces voltage output. If $V_1=+15\;V$ and $V_2=+3\;V$, the value of $V_\circ$ in...

The two inputs $A$ and $B$ are connected to an $R-S$ latch via two $AND$ gates as shown in the figure. If $A=1$ and $B=0$, the output $Q\overline{Q}$ is$00$$10$$01$$11$

The circuit of a Schmitt trigger is shown in the figure. The zener-diode combination maintains the output between $\pm7\;V$. The width of the hysteresis band is _________...

When the voltage across a battery is measured using a $d.c$. potentiometer, the reading shows $1.08\;V$. But when the same voltage is measured using a Permanent Magnet Mo...

The power delivered to a single phase inductive load is measured with a dynamometer type wattmeter using a potential transformer $(PT)$ of turns ratio $200:1$ and the cur...

The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV...

In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in ...

The hot junction of a bare thermocouple, initially at room temperature $(30^\circ{C})$, is suddenly dipped in molten metal at $t=0$ $s$. The cold junction is kept at room...

A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is...

The magnetic flux density of an electromagnetic flowmeter is $100\;mWb/m^2$. The electrodes are wall-mounted inside the pipe having a diameter of $0.25\;m$. A voltage of ...

The junction semiconductor temperature sensor shown in the figure is used to measure the temperature of hot air. The output voltage $V_\circ$ is $2.1\;V$. The current out...

Quantum efficiency of a photodiode (ratio between the number of liberated electrons and the number of incident photons) is $0.75$ at $830\;nm$. Given Planck’s constant $h...

In a sinusoidal amplitude modulation scheme (with carrier) the modulated signal is given by $A_m(t)=100\cos(\omega_ct) +50\cos(\omega_mt)\cos(\omega_ct)$, where $\omega_c...

An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maxim...

The event would have been successful if you____________able to come.$are$$had\;been$$have\;been$$would\;have\;been$

There was no doubt that their work was $\underline{thorough}$.Which of the words below is closest in meaning to the underlined word above?prettycompletesloppyhaphazard

Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,\;3,\;red,\;and\;blue$.Proposition:...

What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ?$1$$-1$$-2$Cannot be determined

Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...

Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people i...

A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than ...

$P,\;Q,\;R,\;S,\;T\;and\;U$ are seated around a circular table, $R$ is seated two places to the right of $Q,P$ is seated three places to the left of $R,S$ is seated oppos...

Budhan covers a distance of $\text{19 km}$ in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for h...

The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The eleva...

A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal plac...

Identify the instrument that does not exist:Dynamometer-type ammeter Dynamometer-type wattmeterMoving-iron voltmeterMoving-iron wattmeter

The most suitable pressure gauge to measure pressure in the range of $10^{-4}$ to $10^{-3}$ $\text{torr}$ is BellowsBarometerStrain gaugePirani gauge

The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the correspo...

The probability that a communication system will have high fidelity is $0.81$. The probability that the system will have both high fidelity and high selectivity is $0.18$...