GATE ECE 2016 Set 1 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

The functionality implemented by the circuit below is GATE ECE 2016 Set 1 Digital Circuits - Combinational Circuits Question 21 English

2-to-1 multiplexer

4-to-1 multiplexer

7-to-1 multiplexer

6-to-1 multiplexer

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

The electric field of a uniform plane wave travelling along the negative $$z$$ direction is given by the following equation: $$$\overrightarrow E {}_w^i = \left( {{{\widehat a}_{_x}} + j{{\widehat a}_{_y}}} \right){E_0}{e^{jkz}}$$$

This wave is incident upon a receiving antenna placed at the origin and whose radiated electric field towards the incident wave is given by the following equation:

$$${\overrightarrow E _{_a}} = \left( {{{\widehat a}_{_x}} + 2{{\widehat a}_{_y}}} \right){E_1}{1 \over r}{e^{ - jkr}}$$$

The polarization of the incident wave, the polarization of the antenna and losses due to the polarization mismatch are, respectively,

Linear, Circular (clockwise), $$−5dB$$

Circular (clockwise), Linear, $$−5dB$$

Circular (clockwise), Linear, $$−3dB$$

Circular (anti clockwise), Linear, $$−3dB$$

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

The propagation constant of a lossy transmission line is (2 + j5) $${m^{ - 1}}$$ and its characteristic impedance is (50 + j0) $$\Omega $$ at $$\omega = \,{10^6}\,rad\,{S^{ - 1}}$$. The values of the line constants L, C, R, G are, respectively,

$$\matrix{ {L = \,200\,\mu H/\,m,\,C = 0.1\,\,\mu F/\,m,\,} \cr {R = 50\,\,\Omega /m,\,G = 0.02\,S/m,} \cr } $$

$${\matrix{ {L = \,250\,\mu H/\,m,\,C = 0.1\,\,\mu F/\,m,\,} \cr {R = 100\,\,\Omega /m,\,G = 0.04\,S/m,} \cr } }$$

$${\matrix{ {L = \,200\,\mu H/\,m,\,C = 0.2\,\,\mu F/\,m,\,} \cr {R = 100\,\,\Omega /m,\,G = 0.02\,S/m,} \cr } }$$

$${\matrix{ {L = \,250\,\mu H/\,m,\,C = 0.2\,\,\mu F/\,m,\,} \cr {R = 50\,\,\Omega /m,\,G = 0.04\,S/m,} \cr } }$$

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

An antenna pointing in a certain direction has a noise temperature of $$50K$$. The ambient temperature is $$290K$$. The antenna is connected to a pre-amplifier that has a noise figure of 2 dB and an available gain of 40 dB over an effective bandwidth of $$12$$ $$MHz$$. The effective input noise temperature $${T_e}$$ for the amplifier and the noise power $${P_{ao}}$$ at the output of the preamplifier, respectively, are

$${T_e} = 169.36K$$ and $${P_{ao}} = 3.73 \times {10^{ - 10}}\,\,\,W$$

$${T_e} = 170.8K$$ and $${P_{ao}} = 4.56 \times {10^{ - 10}}\,\,\,W$$

$${T_e} = 182.5K$$ and $${P_{ao}} = 3.85 \times {10^{ - 10}}\,\,\,W$$

$${T_e} = 160.62K$$ and $${P_{ao}} = 4.6 \times {10^{ - 10}}\,\,\,W$$

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