1
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
In the circuit shown below, Q1 has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If VCC is +5 V, X and Y are digital signals with 0 V as logic 0 and VCC as logic 1, then the Boolean expression for Z is GATE ECE 2013 Digital Circuits - Logic Families Question 11 English
A
XY
B
$$\overline XY$$
C
$$X\overline Y$$
D
$$\overline{XY}$$
2
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
The divergence of the vector field $$\overrightarrow A\;=\;x{\widehat a}_x\;+\;y{\widehat a}_y\;+\;z{\widehat a}_z$$ is
A
$$0$$
B
1/3
C
1
D
3
3
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
The return loss of a device is found to be 20 dB. The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively.
A
1.22 and 0.1
B
0.81 and 0.1
C
- 1.22 and 0.1
D
2.44 and 0.2
4
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
A monochromatic plane wave of wavelength $$\lambda = 600$$ is propagating in the direction as shown in the figure below. $${\overrightarrow E _i},\,{\overrightarrow E _r}$$ and $${\overrightarrow E _t}$$ denote incident, reflected, and transmitted electric field vectors associated with the wave. GATE ECE 2013 Electromagnetics - Uniform Plane Waves Question 24 English

The angle of incidence $${\theta _i}$$ and the expression for $${\overrightarrow E _i}$$ are

A
$${60^ \circ }\,\,\,and\,\,{{{E_0}} \over {\sqrt 2 }}\left( {{{\widehat a}_x} - {{\widehat a}_z}} \right){e^{ - j{{\pi \times {{10}^4}\left( {x + z} \right)} \over {3\sqrt 2 }}}}\,\,V/m$$
B
$${45^ \circ }\,\,\,and\,\,{{{E_0}} \over {\sqrt 2 }}\left( {{{\widehat a}_x} - {{\widehat a}_z}} \right){e^{ - j{{\pi \times {{10}^4}z} \over 3}}}\,\,V/m$$
C
$${45^ \circ }\,\,\,and\,\,{{{E_0}} \over {\sqrt 2 }}\left( {{{\widehat a}_x} - {{\widehat a}_z}} \right){e^{ - j{{\pi \times {{10}^4}\left( {x + z} \right)} \over {3\sqrt 2 }}}}\,\,V/m$$
D
$${60^ \circ }\,\,\,and\,\,{{{E_0}} \over {\sqrt 2 }}\left( {{{\widehat a}_x} - {{\widehat a}_z}} \right){e^{ - j{{\pi \times {{10}^4}z} \over 3}}}\,\,V/m$$
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