Recent questions tagged gate2013-in

The digital circuit shown below uses two negative edge-triggered D-flip-flops. Assuming initial condition of $Q1$ and $Q0$ as zero, the output $Q1Q0$ of this circuit is $...

One pair of eigenvectors corresponding to the two eigenvalues of the matrix $\begin{bmatrix}0&-1\\1&0\end{bmatrix}$ is$\begin{bmatrix}1\\-j\end{bmatrix}$,$\begin{bmatrix}...

While numerically solving the differential equation $\frac{dy}{dx}+2xy^2=0,\; y(0)=1$ using Euler’s predictor-corrector (improved Euler-Cauchy) method with a step size of...

An accelerometer has input range of $0$ to $10g$, natural frequency $30\; Hz$ and mass $0.001\;kg$. The range of the secondary displacement transducer in mm required to c...

The impulse response of a system is $h(t)=t\;u(t)$. For an input $u(t-1),$ the output is$\frac{t^2}{2}u(t)$$\frac{t(t-1)}{2}u(t-1)$$\frac{(t-1)^2}{2}u(t-1)$$\frac{t^2-1}{...

Consider a delta connection of resistors and its equivalent star connection as shown. If all elements of the delta connection are scaled by a factor k, k>0, the elements ...

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF...

The differential pressure transmitter of a flow meter using a venturi tube reads $2.5\times 10^5\;Pa$ for a flow rate of $0.5\;m^3/s$. The approximate flow rate in $m^3/s...

A band-limited signal with a maximum frequency of $5\;kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is$5$$1...

A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0<x<\propto$. Then $\text{P{X>1}}$ is $0.368$$0.5$$0.632$$1.0$

Match the following biomedical instrumentation techniques with their applications$\text{P-U, Q-V, R-X, S-W}$$\text{P-V, Q-U, R-X, S-W}$$\text{P-V, Q-W, R-U, S-X}$$\text{P...

The discrete-time transfer function $\frac{1-2 Z^{-1}}{1-0.5Z^{-1}}$ isnon-minimum phase and unstableminimum phase and unstableminimum phase and stablenon-minimum phase a...

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}$

Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is$u(t)$$t u(t)$$\frac{t^2}{2}u(t)$$e^{-t}u(t)$

The Operational amplifier shown in the circuit below has a slew rate of $0.8\; Volts/\mu s$. The input signal is $0.25\; \sin (\omega t).$ The maximum frequency of input ...

Which one of the following statements is $\text{NOT TRUE}$ for a continuous time casual and stable $LTI$ system?All the poles of the system must lie on the left side of t...

A source $v_s(t)=V\cos 100 \pi t$ has an internal impedance of $4+j3\; \Omega$. If a purely resistive load connected to this source has to extract the maximum power out o...

The type of the partial differential equation $\frac{\partial f}{\partial t}=\frac{\partial^2 f}{\partial x^2}$ isParabolicEllipticHyperbolicNonlinear

In the transistor circuit as shown below, the value of resistance $R_E$ in $k\Omega$ is approximately, $1.0$$1.5$$2.0$$2.5$

For a periodic signal $v(t)=30\sin 100t+10\cos 300t+6\sin (500t+\frac{\pi}{4})$, the fundamental frequency in $rad/s$ is $100$$300$$500$$1500$

The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all...

Two systems with impulse responses $h_1(t)\;and\; h_2(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given byproduct of $h_1(t)...

If the A-matrix of the state space model of a $SISO$ linear time invariant system is rank deficient, the transfer function of the system must have a pole with a positive ...

For a vector $E$, which one of the following statements is $\text{NOT TRUE}$?If $\Delta.E=0,\;E$ is called solenoidalIf $\Delta \times E=0,\;E$ is called conservativeIf $...

The dimension of the null space of the matrix $\begin{bmatrix} 0&1&1\\1&-1&0\\-1&0&-1 \end{bmatrix}$ is$0$$1$$2$$3$