GATE ECE 2007 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2007

MCQ (Single Correct Answer)

-0.6

The Boolean expression Y= $$\overline A \,\overline B \,\overline C \,D + \overline A BC\overline D + A\overline {B\,} \overline C \,D + AB\overline C \,\overline D $$

Y = $$\overline A \,\overline B \,\overline C \,D + \overline A B\overline C + A\overline C D$$

Y = $$\overline A \,\overline B \,\overline C \,D + BC\overline D + A\overline B \overline C \,D$$

Y=$$ \overline A \,BC\,\overline D + \overline B \,\overline C D + A\overline B \overline C \,D$$

Y= $$\overline A \,BC\,\overline D + \overline B \,\overline C D + AB\overline C \,\overline D $$

GATE ECE 2007

MCQ (Single Correct Answer)

-0.3

The Boolean function Y=AB+CD is to be realized using only 2-input NAND gates. The minimum number of gates required is

GATE ECE 2007

MCQ (Single Correct Answer)

-0.3

A plane wave of wavelength $$\lambda $$ is traveling in a direction making an angle $${{{30}^ \circ }}$$ with positive $$x$$-axis and $${{{90}^ \circ }}$$ with positiv $$y$$-axis. The $$\overrightarrow E $$ field of the plane wave can be represented as ($${E_0}$$ is a constant)

$$\vec E = \widehat y\,\,{E_0}{\mkern 1mu} {e^{j\left( {\omega t - {{\sqrt 3 {\kern 1pt} \pi } \over \lambda }x - {\pi \over \lambda }z} \right)}}$$

$$\vec E = \widehat y\,\,{E_0}{\mkern 1mu} {e^{j\left( {\omega t - {\pi \over \lambda }x - {{\sqrt 3 {\kern 1pt} \pi } \over \lambda }z} \right)}}$$

$$\vec E = \widehat y\,\,{E_0}{\mkern 1mu} {e^{j\left( {\omega t + {{\sqrt 3 {\kern 1pt} \pi } \over \lambda }x + {\pi \over \lambda }z} \right)}}$$

$$\vec E = \widehat y\,\,{\mkern 1mu} {E_0}{\mkern 1mu} {e^{j\left( {\omega t - {\pi \over \lambda }x + {{\sqrt 3 {\kern 1pt} \pi } \over \lambda }z} \right)}}$$

GATE ECE 2007

MCQ (Single Correct Answer)

-0.6

A load of 50 $$\Omega $$ is connected in shunt in a 2-wire transmission line of $$Z_0$$ = 50 $$\Omega $$ as shown in the Fig. The 2-port scattering parameter matrix (S-matrix) of the shunt element is GATE ECE 2007 Electromagnetics - Transmission Lines Question 18 English

GATE ECE 2007 Electromagnetics - Transmission Lines Question 18 English

$$\left[ {\matrix{ { - {1 \over 2}} & {{1 \over 2}} \cr {{1 \over 2}} & { - {1 \over 2}} \cr } } \right]$$

$$\left[ {\matrix{ 0 & 1 \cr 1 & 0 \cr } } \right]$$

$$\left[ {\matrix{ { - {1 \over 3}} & {{2 \over 3}} \cr {{2 \over 3}} & { - {1 \over 3}} \cr } } \right]$$

$$\left[ {\matrix{ {{1 \over 4}} & { - {3 \over 4}} \cr { - {3 \over 4}} & { - {1 \over 4}} \cr } } \right]$$

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