Questions by Milicevic3306

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}{...

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

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...

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$

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 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 ...

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$

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balanc...

The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|}\hline \textbf{Category} & \textbf{Amount (Rs.)} \\\hlin...

$\text{A}$ and $\text{B}$ are friends. They decide to meet between $\text{1 PM}$ and $\text{2 PM}$ on a given day. There is a condition that whoever arrives first will no...

One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedie...

Raju has $14$ currency notes in his pocket consisting of only $\text{Rs. 20}$ notes and $\text{Rs. 10}$ notes. The total money value of the notes is $\text{Rs. 230}$. The...

Choose the most appropriate word from the options given below to complete the following sentence:$\text{Given the seriousness of the situation that he had to face, his __...

Which one of the following options is the closest in meaning to the word given below?$\text{Latitude}$EligibilityFreedomCoercionMeticulousness

One of the parts $\text{(A, B, C, D)}$ in the sentence given below contains an $\text{ERROR}$. Which one of the following is $\text{INCORRECT}$?$\text{I requested that he...

If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=$$2.23$$4.33$$11.37$$27.64$

Choose the most appropriate alternative from the options given below to complete the following sentence:$\text{If the tired soldier wanted to lie down, he___ the mattress...

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

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 transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if $\text{a=1, b=2}$$\text{a=3, b=2}$$\text{a=-3, b=-1}$$\text...

The deflection profile $y(x)$ of a cantilever beam due to application of a point force $F$ (in Newton), as a function of distance $x$ from its base, is given by $y(x)=0.0...

The deflection profile $y(x)$ of a cantilever beam due to application of a point force $F$ (in Newton), as a function of distance $x$ from its base, is given by $y(x)=0.0...

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...

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 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...

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...