GATE ECE kind:question PYQs & Answers — Page 52

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Questions 511–520 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 52 of 72

A voice signal

is in the frequency range 5 kHz to 15 kHz. The signal is amplitude-modulated to generate an AM signal

, where

kHz. The AM signal

is to be digitized and archived. This is done by first sampling

at 1.2 times the Nyquist frequency, and then quantizing each sample using a 256-level quantizer. Finally, each quantized sample is binary coded using

bits, where

is the minimum number of bits required for the encoding. The rate, in Megabits per second (rounded off to 2 decimal places), of the resulting stream of coded bits is ______ Mbps.

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A random variable

takes values

and

with probabilities 0.2 and 0.8, respectively. It is transmitted across a channel which adds noise

, so that the random variable at the channel output is

. The noise

is independent of

, and is uniformly distributed over the interval

. The receiver makes a decision

where the threshold

is chosen so as to minimize the probability of error

. The minimum probability of error, rounded off to 1 decimal place, is ______.

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A Germanium sample of dimensions

is illuminated with a 20 mW, 600 nm laser light source as shown in the figure. The illuminated sample surface has a 100 nm of loss-less Silicon dioxide layer that reflects one-fourth of the incident light. From the remaining light, one-third of the power is reflected from the Silicon dioxide-Germanium interface, one-third is absorbed in the Germanium layer, and one-third is transmitted through the other side of the sample. If the absorption coefficient of Germanium at 600 nm is

and the bandgap is 0.66 eV, the thickness of the Germanium layer, rounded off to 3 decimal places, is ______

Diagram for Electronics and Communication Engineering question 48

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In an ideal

junction with an ideality factor of 1 at

, the magnitude of the reverse-bias voltage required to reach 75% of its reverse saturation current, rounded off to 2 decimal places, is ______ mV. [

]

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Consider a long-channel MOSFET with a channel length 1

m and width 10

m. The device parameters are acceptor concentration

, electron mobility

, oxide capacitance/area

, threshold voltage

. The drain saturation current (

) for a gate voltage of 5 V is ______ mA (rounded off to two decimal places). [

]

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A rectangular waveguide of width

and height

has cut-off frequencies for

and

modes in the ratio 1:2. The aspect ratio

, rounded off to two decimal places, is ______.

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In the circuit shown,

is a 10 V square wave of period,

with

and

. The capacitor is initially uncharged at

, and the diode is assumed to be ideal. The voltage across the capacitor (

) at 3 ms is equal to ____ volts (rounded off to one decimal place).

Diagram for Electronics and Communication Engineering question 52

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A CMOS inverter, designed to have a mid-point voltage

equal to half of

, as shown in the figure, has the following parameters:

for nMOS

for pMOS

The ratio of

is equal to ____ (rounded off to 3 decimal places).

Diagram for Electronics and Communication Engineering question 53

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In the circuit shown, the threshold voltages of the pMOS (

) and nMOS (

) transistors are both equal to 1 V. All the transistors have the same output resistance

of 6 M

. The other parameters are listed below:

and

are the carrier mobilities, and

is the oxide capacitance per unit area. Ignoring the effect of channel length modulation and body bias, the gain of the circuit is ____ (rounded off to 1 decimal place).

Diagram for Electronics and Communication Engineering question 54

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In the circuit shown,

and

. The other relevant parameters are mentioned in the figure.

Diagram for Electronics and Communication Engineering question 55

Ignoring the effect of channel length modulation and the body effect, the value of

is ____ mA (rounded off to 1 decimal place).

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GATE ECE kind:question PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55