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The power delivered to a single phase inductive load is measured with a dynamometer type wattmeter using a potential transformer $(PT)$ of turns ratio $200:1$ and the cur...
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The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV...
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In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in ...
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The hot junction of a bare thermocouple, initially at room temperature $(30^\circ{C})$, is suddenly dipped in molten metal at $t=0$ $s$. The cold junction is kept at room...
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A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is...
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The magnetic flux density of an electromagnetic flowmeter is $100\;mWb/m^2$. The electrodes are wall-mounted inside the pipe having a diameter of $0.25\;m$. A voltage of ...
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The junction semiconductor temperature sensor shown in the figure is used to measure the temperature of hot air. The output voltage $V_\circ$ is $2.1\;V$. The current out...
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Quantum efficiency of a photodiode (ratio between the number of liberated electrons and the number of incident photons) is $0.75$ at $830\;nm$. Given Planck’s constant $h...
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In a sinusoidal amplitude modulation scheme (with carrier) the modulated signal is given by $A_m(t)=100\cos(\omega_ct) +50\cos(\omega_mt)\cos(\omega_ct)$, where $\omega_c...
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An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maxim...
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The event would have been successful if you____________able to come.$are$$had\;been$$have\;been$$would\;have\;been$
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There was no doubt that their work was $\underline{thorough}$.Which of the words below is closest in meaning to the underlined word above?prettycompletesloppyhaphazard
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Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,\;3,\;red,\;and\;blue$.Proposition:...
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What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ?$1$$-1$$-2$Cannot be determined
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Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
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Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people i...
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A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than ...
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$P,\;Q,\;R,\;S,\;T\;and\;U$ are seated around a circular table, $R$ is seated two places to the right of $Q,P$ is seated three places to the left of $R,S$ is seated oppos...
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Budhan covers a distance of $\text{19 km}$ in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for h...
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The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The eleva...
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A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal plac...
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Identify the instrument that does not exist:Dynamometer-type ammeter Dynamometer-type wattmeterMoving-iron voltmeterMoving-iron wattmeter
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The most suitable pressure gauge to measure pressure in the range of $10^{-4}$ to $10^{-3}$ $\text{torr}$ is BellowsBarometerStrain gaugePirani gauge
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The standard for long distance analog signal transmission in process control industry is $\text{4-20 mV}$$\text{0-20 mA}$$\text{4-20 mA}$$\text{0-5 V}$
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The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the correspo...
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The probability that a communication system will have high fidelity is $0.81$. The probability that the system will have both high fidelity and high selectivity is $0.18$...
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The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.
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The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. T...
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The current response of a series $\text R-L$ circuit to a unit step voltage is given in the table. The value of $L$ is __________$H$.
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For the circuit, shown in the figure, the total real power delivered by the source to the loads is _____________$\text{kW}$.
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If $\text{v}$ is a non-zero vector of dimensions $3\times1$, then the matrix $A=VV^T$ has a rank = ____________.
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The figure shows a shape $\text ABC$ and its mirror image $\text A_1B_1C_1$ across the horizontal axis $\text (X-axis)$. The coordinate transformation matrix that maps $\...
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Let $z=x+jy$ where $j=\sqrt{-1}$. Then $\overline{\cos z}$ =$\cos z$$cos\overline{z}$$\sin z$$\sin\overline{z}$
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The eigenvalues of the matrix $A=\begin{bmatrix}1 &-1 &5\\0 &5 &6\\0 &-6 &5\end{bmatrix}$ are$-1,\;5,\;6$$1,\;-5\pm j6$$1,\;5\pm j6$$1,\;5,\;5$
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For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $...
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A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in ...
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The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ networks are given as $$\begin{bmatrix}A &B\\C &D\end{bmatrix}...
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A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at $\text{Node-1}$ is $-1\;\text{V}$, then the voltage at $\text{Node-2}$...
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A periodic signal $\text{x(t)}$ is shown in the figure. The fundamental frequency of the signal $\text{x(t)}$ in $\text Hz$ is ____________.
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A system is described by the following differential equation:$\frac {dy(t)}{dt}+2y(t)=\frac {dx(t)}{dt}+x(t),\;x(0)=y(0)=0$where $\text{x(t)}$ and $\text{y(t)}$ are the i...