1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A finite state machine (FSM) is implemented using the D flip-flops A and B and logic gates, as shown in the figure below. The four possible states of the FSM are QA QB = 00, 01, 10, and 11. GATE ECE 2017 Set 1 Digital Circuits - Sequential Circuits Question 19 English

Assume that XIN is held at a logic level throughout the operation of the FSM. When the FSM is initialized to the state QA QB = 100 and clocked, after a few clock cycles, it starts cycling through

A
all of the four possible states if XIN = 1
B
three of the four possible states if XIN = 0
C
only two of the four possible states if XIN =1
D
only two of the possible states if XIN = 0
2
GATE ECE 2017 Set 1
Numerical
+1
-0
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $$V(l) = {e^{ - \gamma l\, + \,j\,\omega \,t}}$$ Volts, where $$l$$ is the distance along the length of the cable in metres, $$\gamma = (0.1\, + \,j40)\,\,{m^{ - 1}}$$ is the complex propagation constant, and $$\omega = \,2\,\pi \,\, \times \,\,{10^9}$$ rad/s is the angular frequency. The absolute value of the attenuation in the cable in dB/metre is ___________________.
Your input ____
3
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The expression for an electric field in free space is $$E = {E_0}\left( {\widehat x + \widehat y + j2\widehat z} \right){e^{ - j\left( {\omega t - kx + ky} \right)}},$$ where $$x,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} y,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} z\,\,\,\,\,\,\,$$ represent the spatial coordinates, $$t$$ represents time, and $$\omega ,\,\,k$$ are contants. This electric field
A
does not represent a plane wave.
B
represents a circular polarized plane wave propagating normal to the z-axis.
C
represents an elliptically polarized plane wave propagating along x-y plane.
D
represents a linearly polarized plane wave
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A half wavelength dipole is kept in the x-y plane and oriented along $${45^ \circ }$$ from the x-axis. Determine the direction of null in the radiation pattern for $$0 \le \phi \le \pi $$. Here the angle $$\theta \left( {0 \le \theta \le \pi } \right)$$ is measured from the z-axis, and the angle $$\phi \left( {0 \le \phi \le 2\pi } \right)$$ is measured from the x-axis in the x-y plane.
A
$$\theta = {90^ \circ },\,\,\,\phi = {45^ \circ }$$
B
$$\theta = {45^ \circ },\,\,\,\phi = {90^ \circ }$$
C
$$\theta = {90^ \circ },\,\,\,\phi = {135^ \circ }$$
D
$$\theta = {45^ \circ },\,\,\,\phi = {135^ \circ }$$
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