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ECE GATE sample paper

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Printed Date: 15Feb2025 at 4:01am


Topic: ECE GATE sample paper
Posted By: Arpita
Subject: ECE GATE sample paper
Date Posted: 04Jan2007 at 6:08pm


1 The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the TE10 mode is
Options
A) equal to its group velocity B) less than the velocity of light in free space
C) equal to the velocity of light in free space D) greater than the velocity of light in free space


Correct Answer D

2 A device with input x(t) and output y(t) is characterized by:   y(t) = x2(t).
An FM signal with frequency deviation of 90 kHz and modulating signal bandwidth of 5 kHz is applied to this device. The bandwidth of the output signal is
 
Options
A) 370 kHz   B) 190 kHz 
C) 380kHz  D) 95kHz


Correct Answer C

3 For a signal x(t) the fourier transform is X(f). Then the inverse Fourier transform of X(3f + 2) is given by
Options
A)
1
2
x(
t
2
)e(j3p t) 
B)
1
3
x(
t
3
)e-j4pt/3
C) 3x(3t)e-j4p t  D) x(3t+2)


Correct Answer B

4 The Fourier transform of a conjugate symmetric function is always
Options
A) imaginary  B) conjugate anti-symmetric 
C) real D) conjugate symmetric


Correct Answer C

5

A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an, ideal low-pass filter with cut-off frequency 800 Hz.
The output signal has the frequency

Options
A) zero Hz B) 0.75 kHz
C) 0.5 kHz D) 0.25 kHz


Correct Answer C

6 An ideal op-amp is an ideal
Options
A) voltage controlled current source  B) voltage controlled voltage source
C) current controlled current source  D) current controlled voltage source


Correct Answer B

7 A Boolean function f of two variables x and y is defined as follows:
f(0,0) = f(0,1) = f(1, 1) = 1;   f(1,0) = 0
Assuming complements of x and y are not available, a minimum cost solution for realizing fusing only 2-input NOR gates and 2-input OR gates (each having unit cost) would have a total cost of
Options
A) 1 unit B) 4 unit
C) 3 unit D) 2 unit


Correct Answer D

8

The impulse response h[n] of a linear time-invariant system is given by
h[n] = u[n + 3] + u[n - 2] - 2u[n-7]
where u[n] is the unit step sequence. The above system is

Options
A) stable but not causal                   B) stable and causal
C) causal but unstable            D) unstable and not causal


Correct Answer A

9 The cascade amplifier is a multistage configuration of
Options
A) CC-CB B) CE-CB
C) CB-CC D) CE-CC


Correct Answer B

10 A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver through a cable that has 40 dB loss. If the effective one-sided noise spectral density at the receiver is 10-20 Watt/Hz, then the signal-to-noise ratio at the receiver is
Options
A) 50 dB B) 30 dB
C) 40 dB D) 60dB


Correct Answer A



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