Recent questions tagged gate2014-in

Choose the most appropriate word from the options given below to complete the following sentence.A person suffering from Alzheimer’s disease ___________ short-term memory...

Choose the most appropriate word from the options given below to complete the following sentence.____________is the key to their happiness; they are satisfied with what t...

Which of the following options is the closest in meaning to the sentence below? $\text{“As a woman. I have no country.”}$Women have no country.Women are not cit...

The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at its growth rate?$3-4$ years$4-5$ years$5-6$ years...

In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the e...

Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, co...

$X$ is $1$ km northeast of $Y$. $Y$ is $1$ km southeast of $Z$. $W$ is $1$ km west of $Z$. $P$ is $1$ km south of $W$. $Q$ is $1$ km east of $P$. What is the distance bet...

$10\%$ of the population in a town is $HIV^+$. A new diagnostic kit for $HIV$ detection is available; this kit correctly identifies $HIV^+$ individuals $95\%$ of the time...

Given $x(t)=3\sin (1000\; \pi t)\; and\;y(t)=5\cos (1000\;\pi t+\frac{\pi}{4})$The $x-y$ plot will bea circlea multi-loop closed curvea hyperbolaan ellipse

Given that $x$ is a random variable in the range $[0,\infty]$ with a probability density function $\frac{e \frac{-x}{2}}{K}$, the value of the constant $K$ is __________.

The figure shows the plot of $y$ as a function of $x$The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is :$\fr...

A vector is defined as $$f=y\hat{i}+x\hat{j}+z\hat{k}$$where $\hat{i},\hat{j},\hat{k}$ are unit vectors in Cartesian $(x,y,z)$ coordinate system.The surface integral $f....

The figure shows the schematic of a production process with machines $A, B$ and $C$. An input job needs to be pre-processed either by $A$ or by $B$ before it is fed to $C...

The circuit shown in figure was at steady state for $t < 0$ with the switch at position $‘A’$. The switch is thrown to position $‘B’$ at time $t=0$. The voltage V(volts)...

The average real power in watts delivered to a load impedance $Z_L=(4-j2)\Omega$ by an ideal current source $i(t)=4\sin(\omega t+20^\circ)A $ is ____________.

Time domain expressions for the voltage $v_1(t)$ and $v_2(t)$ are given as$$v_1(t)=V_m\sin(10t-130^\circ)\; and\; v_2(t)=V_m\cos(10t+10^\circ)$$Which one of the following...

A pHelectrode obeys Nernst equation and is being operated at $25^\circ C$. The change in the open circuit voltage in millivolts across the electrode for a pH change from ...

The pressure and velocity at the throat of a Venturi tube, measuring the flow of a liquid, are related to the upstream pressure and velocity, respectively, as follows:pre...

Semiconductor strain gages typically have much higher gage factors than those of metallic strain gages, primarily due to:higher temperature sensitivityhigher Poisson’s ra...

For a rotameter, which one of the following statements is $TRUE$?the weight of the float is balanced by the buoyancy and the drag force acting on the floatthe velocity of...

For the op-amp shown in the figure, the bias currents are $I_{b1}=450\;nA$ and $I_{b2}=350\;nA$. The values of the input bias current $(I_B)$ and the input offset current...

The amplifier in the figure has gain of $-10$ and input resistance of $50\;k\Omega$. The values of $R_i$ and $R_f$ are:$R_i=500\;k\Omega, R_f=50\;k\Omega$$R_i=50\;k\Omega...

For the circuit shown in the figure assume ideal diodes with zero forward resistance and zero forward voltage drop. The current through the diode $D_2$ in $mA$ is _______...

The system function of an LTI system is given by$$H(Z)=\frac{1-\frac{1}{3}Z^{-1}}{1-\frac{1}{4}Z^{-1}}$$The above system can have stable inverse if the region of converge...

The figure is a logic circuit with inputs $A$ and $B$ and output $Y.V_{95}=+5\;V$. The circuit is of type$NOR$$AND$$OR$$NAND$

The impulse response of an LTI system is given as:$h[n]=\left\{ \begin{array}{rcl} \frac{\omega_c}{\pi} & n=0\\ \frac{\sin \omega_cn}{\pi n} & n\neq 0 \end{array}\right.$...

A discrete-time signal $x[n]$ is obtained by sampling an analog signal at $10\;kHz$. The signal $x[n]$ is filtered by a system with impulse response $h[n]=0.5${$ \delta [...

A full duplex binary $FSK$ transmission is made through a channel of bandwidth $10\;kHz$. In each direction of transmission the two carriers used for the two states are s...

A loop transfer function is given by:$$G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$$The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at ...

The resistance and inductance of an inductive coil are measured using an AC bridge as shown in the figure. The bridge is to be balanced by varying the impedance $Z_2$.For...

A plant has an open-loop transfer function,$$G_p(s)=\frac{20}{(s+0.1)(s+2)(s+100)}$$The approximate model obtained by retaining only one of the above poles, which is clos...

In order to remove respiration related motion artifacts from an $ECG$ signal, the following filter should be used:low-pass filter with $f_c=0.5\;Hz$high-pass filter with ...

In a time-of-flight mass spectrometer if $q$ is the charge and $m$ the mass of the ionized species, then the time of flight is proportional to$\frac{\sqrt m}{\sqrt q}$$\f...

For the matrix $A$ satisfying the equation given below, the eigenvalues are$$[A] \begin {bmatrix} 1&2&3\\7&8&9\\4&5&6\end{bmatrix}=\begin {bmatrix} 1&2&3\\4&5&6\\7&8&9\en...

In the circuit shown in the figure, initially the capacitor is uncharged. The switch $‘S’$ is closed at $t=0$. Two milliseconds after the switch is closed, the current th...

A capacitor $’C’$ is to be connected across the terminal $’A’$ and $’B’$ as shown in the figure so that the power factor of the parallel combination becomes unity. The va...

The resistance of a wire is given by the expression$$R=\frac{4\rho L}{\pi D^2},$$where, $\rho$ is the resistivity ($\Omega$-meter), $L$ is the length (meter) and D (meter...

The circuit shown in the figure contains a dependent current source between $A$ and $B$ terminals. The Thevenin’s equivalent resistance is $k\Omega$ between the terminals...