Recent questions tagged gate2012-in

The transfer function of a Zero-Order-Hold system with sampling interval $T$ is$\frac{1}{s}(1-e^{-Ts})$$\frac{1}{s}(1-e^{-Ts})^2$$\frac{1}{s}e^{-Ts}$$\frac{1}{s^2}e^{-Ts}...

The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge

For the circuit shown in the figure, the voltage and current expressions are $v(t)=E_1\sin(\omega t)+E_3\sin(3\omega t)$ and $i(t)=I_1\sin(\omega t-\phi_1)+I_3\sin(3\omeg...

A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil $\text{(PMMC)}$ meter connected across the same load reads$...

The responsivity of the $\text{PIN}$ photodiode shown is $0.9\;A/W.$ To obtain $V_\text{out}$ of $-1\;\text{V}$ for an in optical power of $1\;\text{mW},$ the value of $R...

Light of wavelength $630\;\text{nm}$ in vacuum, falling normally on a biological specimen of thickness $10\;\mu\text{m}$, splits into two beams that are polarized at righ...

An $\text{LED}$ emitting at $1\;\mu\text{m}$ with a spectral width of $50\;\text{nm}$ is used in a Michelson interferometer. To obtain a sustained interference, the maxim...

A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation $x(t)=\sin\omega_1t+\sin\omega_2t,$ where $2\;\...

A psychrometric chart is used to determine $\text{pH}$$\text{Sound velocity in glasses}$$\text{CO}_2 \text{concentration}$$\text{Relative humidity}$

A capacitive motion transducer circuit is shown. The gap $d$ between the parallel plates of the capacitoes is varied as $d(t)=10^{-3}[1+0.1\sin(1000\pi t)]\;\text{m}.$ If...

If $x[n]=(1/3)^{|n|}-(1/2)^nu[n],$ then the region of convergence $\text{(ROC)}$ of its $Z-$transform in the $Z-$plane will be $\frac{1}{3}<|z|<3$$\frac{1}{3}<|z|<\frac{1...

Consider the given circuit.In the circuit, the race rounddoes not occuroccurs when $\text{CLK}=0$occurs when $\text{CLK}=1$ and $\text{A=B=1}$occurs when $\text{CLK=1}$ a...

The output $\text{Y}$ of a $2$-bit comparator is logic $1$ whenever the $2$-bit input $\text{A}$ is greater than the $2$- bit input $\text{B}$. The number of combinations...

In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are $\overline{X}Y,\;X\overline{Y}$$\overline{X}Y,\;X\overline{Y}\;\overline{Z},\...

The $i-v$ characteristics of the diode in the circuit given below are $$i=\left\{ \begin{array}{rcl} \frac{\text{v}-0.7}{500}\text{A},& \text{v}\geq0.7\text{v}\\ 0\;\text...

A system with transfer function $$G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$is excited by $\sin(\omega t).$ The steady-state output of the system is zero at $\omega =1\;...

The impedance looking into nodes $1$ and $2$ in the given circuit is$50\;\Omega$$100\;\Omega$$5\;k\Omega$$10.1\;k\Omega$

In the following figure, $\text{C}_1$ and $\text{C}_2$ are ideal capacitors. $\text{C}_1$ has been charged to $12\;\text{V}$ before the ideal switch $\text{S}$ is closed ...

In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\text{A}$$\frac{-1}{1+j}\text{A}$$\frac{1}{1+j}\text{A}$$0\text{A}$

The average power delivered to an impedance $(4-j3)\Omega$ by a current $5\cos(100\pi t+100)\text{A}$ is $44.2\;\text{W}$ $50\;\text{W}$ $62.5\;\text{W}$ $125\;\text{W}$

Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}.$ If $C$ is a counterclockwise path in the $z$-plane such that $|z+1|=1,$ the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is$-2$$-1$$...

The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}.$ The unilateral Laplace transform of $tf(t)$ is$-\frac{s}{(s^2+s+1)^2}$$-\frac{2s+1}{(s^2+s+1)^2}$$\frac...

Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$...

With initial condition $x(1)=0.5$, the solution of the differential equation,$t\frac{dx}{dt}+x=t$ is $x=t-\frac{1}{2}$$x=t^2-\frac{1}{2}$$x=\frac{t^2}{2}$$x=\frac{t}{2}$

If $x=\sqrt{-1},$ then the value of $x^x$ is $e^{-\pi/2}$$e^{\pi/2}$$x$$1$