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Recent questions tagged gate2015-ec-2

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46
GATE ECE 2015 Set 2 | Question: 36
A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$ Which one of the product of sums given below is equal to the function $F(X, Y, Z)?$ ...
A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $$F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$$Which one of the product of sums given bel...
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47
GATE ECE 2015 Set 2 | Question: 37
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a mod-$2$ counter mod-$4$ counter mod-$5$ counter mod-$6$ counter
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a mod-$2$ counter mod-$4$ counter mod-$5$ counter mod-...
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49
GATE ECE 2015 Set 2 | Question: 39
The diode in the circuit given below has $V_{ON} = 0.7\:V$ but is ideal otherwise. The current $(\text{in}\: mA)$ in the $4\: k\Omega$ resistor is _______.
The diode in the circuit given below has $V_{ON} = 0.7\:V$ but is ideal otherwise. The current $(\text{in}\: mA)$ in the $4\: k\Omega$ resistor is _______.
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GATE ECE 2015 Set 2 | Question: 40
Assuming that the opamp in the circuit shown below is ideal, the output voltage ܸ$V_{o}$ (in volts) is________.
Assuming that the opamp in the circuit shown below is ideal, the output voltage ܸ$V_{o}$ (in volts) is________.
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GATE ECE 2015 Set 2 | Question: 42
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with $\beta \gg 1$. The open circuit small signal voltage gain is approximately _______.
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with $\beta \gg 1$. The open circuit small signal voltage gain ...
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GATE ECE 2015 Set 2 | Question: 46
The state variable representation of a system is given as $\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$ $y=\begin{bmatrix} 0 &1 \end{bmatrix} x$ The response $y(t)$ is $\sin(t)$ $1-e^{t}$ $1-\cos(t)$ $0$
The state variable representation of a system is given as$\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$$y=\begin{bm...
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GATE ECE 2015 Set 2 | Question: 48
The transfer function of a mass-spring-damper system is given by $G(S) = \dfrac{1}{Ms^{2}+Bs+K}$ ... The unit step response of the system approaches a steady state value of ________.
The transfer function of a mass-spring-damper system is given by $$G(S) = \dfrac{1}{Ms^{2}+Bs+K}$$The frequency response data for the system are given in the following ta...
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GATE ECE 2015 Set 2 | Question: 51
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, which one of the following pulses will give the minimum probability of bit error?
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, wh...
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GATE ECE 2015 Set 2 | Question: 52
Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to $pq+(1-p)(1-q)$ $pq$ $p(1-q)$ $1-pq$
Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to$pq+(1-p)(1-q)$$pq$$p(1-q)$...
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GATE ECE 2015 Set 2 | Question: 55
The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression ... The type of the polarization is Right Hand Circular Left Hand Elliptical Right Hand Elliptical Linear
The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression $$\text{E}(z,t) = \textbf{a}_{x} 5 \cos(2\pi \times ...
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