Recent questions without answers

The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at $\sqrt{2}\;\text{rad/s}$$\sqrt{3}\;\tex...

The power factor of the load is$0.45$$0.50$$0.55$$0.60$

If $R_L=5\;\Omega,$ the approximate power consumption in the load is $700\;\text{W}$$750\;\text{W}$$800\;\text{W}$$850\;\text{W}$

The double convex lens is used to couple a laser beam of diameter $5\;\text{mm}$ into an optical fiber with a numerical aperture of $0.5$. The minimum focal length of the...

An analog voltmeter uses external multiplier settings. With a multiplier setting of $20\;\text{k}\Omega$, it reads $400\;\text{V}$ and with a multiplier setting of $80\;\...

The open loop transfer function of a unity negative feedback control system is given by $G(s)=\frac{150}{s(s+9)(s+25)}$. The gain margin of the system is $10.8\;\text{dB}...

A dynamometer arm makes contact with the piezoelectric load cell as shown. The $g-$constant of the piezoelectric material is $50\times10^{-3}\;\text {Vm/N}$ and the surf...

Water $\text{(density:}\;1000\;\text{kgm}^{-3})$ stored in a cylindrical drum of diameter $1\;\text{m}$ is emptied through a horizontal pipe of diameter $0.05\;\text{m}$....

A U-tube manometer of tube diameter $D$ is filled with a liquid of zero viscosity. If the volume of the liquid filled is $V$, the natural frequency of oscillations in the...

The open loop transfer function of a unity gain negative feedback control system is given by $G(s)=\frac{s^2+4s+8}{s(s+2)(s+8)}.$ The angle $\theta$ , at which the root l...

With $\text{10 V}$ dc connected at port $\text{A}$ in the linear nonreciprocal two-port network shown below, the following were observed:$\text1\;\Omega$ connected at por...

The state variable description of an $\text{LTI}$ system is given by $$\begin{bmatrix}\dot{x_1}\\\dot{x_2\\\dot{x_3}}\end{bmatrix}=\begin{bmatrix}0 & a_1 & 0\\0 & 0 & a_2...

The state transition diagram for the logic circuit shown is

The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega.$ The value of $h(0)$ is $1/4$$1/2$$1$$2$

Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n\;u[n]$ and $g[n]$ is a causal sequence. If $y[0]=1$ and $y =1/2$, then $g $ equals$0$$1/2$$1$$...

The feedback system shown below oscillates at $2\;\text{rad/s}$ when$K=2$ and $a=0.75$$K=3$ and $a=0.75$$K=4$ and $a=0.5$$K=2$ and $a=0.5$

The circuit shown is alow pass filter with $\text{f}_{3\text{dB}}=\frac{1}{(R_1+R_2)C}\;\text{rad/s}$high pass filter with $\text{f}_{3\text{dB}}=\frac{1}{R_1C}\;\text{ra...

The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\int^{t}_{-\infty}x(\tau)\cos(3\tau)d\tau$. The system is time-invariant and stablestable and not time...

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is$1/3$$1/2$$2/3$$3/4$

Given that$A=\begin{bmatrix}-5 &-3\\2 &0\end{bmatrix}$ and $I=\begin{bmatrix}1 & 0\\0 &1\end{bmatrix}$, the value of $A^3$ is$15A+12I$$19A+30I$$17A+15I$$17A+21I$

The direction of vector $\text{A}$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\nabla....

The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1, 6]$ is $21$$25$$41$$46$

Consider the differential equation$\frac{d^2y(t)}{dt^2}+2\frac{dy(t)}{dt}+y(t)=\delta(t)$ with $y(t)|_{t=0^-}=-2$ and $\frac{dy}{dt}|_{t=0^-}=0$.The numerical value of $\...

If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$$2\;\text{V}$$3\;\text{V}$$6\;\text{V}$

Assuming both the voltage sources are in phase, the value of $\text{R}$ for which maximum power transferred from circuit $\text{A}$ to circuit $\text{B}$ is $0.8\;\Omega$...

The voltage gain $A_v$ of the circuit shown below is$|A_v|\approx 200$$|A_v|\approx 100$$|A_v|\approx 20$$|A_v|\approx 10$

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}...

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...

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...

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...

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$...

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...

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

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},\...

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...

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...

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...

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

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\;\...