Electronics and Communication Engineering
GATE ECE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 101–110 of 239. Imported answers require independent review unless marked reviewed.
Question 49
Open questionECNAT2 marksNeeds review
A sinusoidal message signal having root mean square value of 4 V and frequency of 1 kHz is fed to a phase modulator with phase deviation constant 2 rad/volt. If the carrier signal is
, the maximum instantaneous frequency of the phase modulated signal (rounded off to one decimal place) is ____ Hz.Log in to check the answer
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Consider a superheterodyne receiver tuned to 600 kHz. If the local oscillator feeds a 1000 kHz signal to the mixer, the image frequency (in integer) is _____ kHz.
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In a high school having equal number of boy students and girl students, 75% of the students study Science and the remaining 25% students study Commerce. Commerce students are two times more likely to be a boy than are Science students. The amount of information gained in knowing that a randomly selected girl student studies Commerce (rounded off to three decimal places) is ______ bits.
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A message signal having peak-to-peak value of 2 V, root mean square value of 1 V and bandwidth of 5 kHz is sampled and fed to a pulse code modulation (PCM) system that uses a uniform quantizer. The PCM output is transmitted over a channel that can support a maximum transmission rate of 50 kbps. Assuming that the quantization error is uniformly distributed, the maximum signal to quantization noise ratio that can be obtained by the PCM system (rounded off to two decimal places) is ______.
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Consider a polar non-return to zero (NRZ) waveform, using +2 V and −2 V for representing binary ‘1’ and ‘0’ respectively, is transmitted in the presence of additive zero-mean white Gaussian noise with variance 0.4 V
. If the a priori probability of transmission of a binary ‘1’ is 0.4, the optimum threshold voltage for a maximum a posteriori (MAP) receiver (rounded off to two decimal places) is _____ V.Log in to check the answer
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Open questionECNAT2 marksNeeds review
A standard air-filled rectangular waveguide with dimensions
cm,
cm, operates at 3.4 GHz. For the dominant mode of wave propagation, the phase velocity of the signal is
. The value (rounded off to two decimal places) of
, where
denotes the velocity of light, is _____.Log in to check the answer
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An antenna with a directive gain of 6 dB is radiating a total power of 16 kW. The amplitude of the electric field in free space at a distance of 8 km from the antenna in the direction of 6 dB gain (rounded off to three decimal places) is ______ V/m.
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In the given circuit, the two-port network has the impedance matrix
The value of
for which maximum power is transferred to the load is ______
. 
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Open questionECNAT1 markNeeds review
The current in the RL-circuit shown below is
A. The value of the inductor (rounded off to two decimal places) is ______ H. 
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Open questionECNAT1 markNeeds review
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output
(rounded off to two decimal places) is ______ V. 
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