Electronics and Communication Engineering
GATE ECE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 151–160 of 239. Imported answers require independent review unless marked reviewed.
Question 51
Open questionECNAT2 marksNeeds review
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 ______.Log in to check the answer
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Open questionECNAT2 marksNeeds review
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).

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Open questionECNAT2 marksNeeds review
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 pMOSThe ratio of
to
is equal to ____ (rounded off to 3 decimal places).

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Open questionECNAT2 marksNeeds review
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).

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Open questionECNAT2 marksNeeds review
In the circuit shown,
and
. The other relevant parameters are mentioned in the figure.

Ignoring the effect of channel length modulation and the body effect, the value of
is ____ mA (rounded off to 1 decimal place).Log in to check the answer
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Open questionECNAT1 markNeeds review
Consider the following amplitude modulated signal:
The ratio (accurate to three decimal places) of the power of the message signal to the power of the carrier signal is __________.Log in to check the answer
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Consider a binary channel code in which each codeword has a fixed length of 5 bits. The Hamming distance between any pair of distinct codewords in this code is at least 2. The maximum number of codewords such a code can contain is __________.
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A binary source generates symbols
which are transmitted over a noisy channel. The probability of transmitting
is 0.5. Input to the threshold detector is
. The probability density function
of the noise
is shown below. 
If the detection threshold is zero, then the probability of error (correct to two decimal places) is __________.
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A p-n step junction diode with a contact potential of 0.65 V has a depletion width of 1 μm at equilibrium. The forward voltage (in volts, correct to two decimal places) at which this width reduces to 0.6 μm is ______.
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A traffic signal cycles from GREEN to YELLOW, YELLOW to RED and RED to GREEN. In each cycle, GREEN is turned on for 70 seconds, YELLOW is turned on for 5 seconds and the RED is turned on for 75 seconds. This traffic light has to be implemented using a finite state machine (FSM). The only input to this FSM is a clock of 5 second period. The minimum number of flip-flops required to implement this FSM is ______.
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