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ECE GATE sample paper

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Printed Date: 14Feb2025 at 8:00pm


Topic: ECE GATE sample paper
Posted By: Arpita
Subject: ECE GATE sample paper
Date Posted: 04Jan2007 at 6:17pm


1 Consider a lossless antenna with a directive gain of +6dB. If 1 mW of power is fed to it the total power radiated by the antenna will be
Options
A) 4 mW B) 1 mW
C)
7 mW                                                      
D) 1/4 mW


Correct Answer A

2 The bandgap of Silicon at room temperature is
Options
A) 1.3 eV B) 0.7 eV
C) 1.1 eV D) 1.4 eV


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 In a PCM system, if the code word length is increased from 6 to 8 bits, the signal to quantization noise ratio improves by the factor
Options
A) 8/6  B) 12
 
C) 16  D) 8


Correct Answer C

5

Match the following and choose the correct combination:

 

Group 1 Group 2
E. Newton-Raphson method 
F. Runge-kutta method 
G. Simpson,s Rule 
H. Gauss elimination
1. Solving nonlinear equations
2. Solving linear simultaneous equations
3. Solving ordinary differential equations
4. Numerical integration
5. Interpolation
6. Calculation of Eigenvalues

Options
A) E-6, F-1, G-5, H-3 B) E-1, F-6, G-4, H-3
C) E-1, F-3, G-4, H-2 D) E-5, F-3, G-4, H-1


Correct Answer C

6 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

7

Match the following and choose the correct combination.

 

Group 1 Group 2
E - continuous and aperiodic signal      
F - continuous and periodic signal 
G - Discrete and aperiodic signal 
H - Discrete and periodic signal
1 - Fourier representation is continuous and aperiodic
2 - Fourier representation is discrete and aperiodic
3 - Fourier representation is continu-ous and periodic
4 - Fourier representation is discrete and periodic

Options
A) E - 3, F - 2, G - 4, H -1 B) E -1, F - 3, G - 2, H - 4
C) E -1, F - 2, G - 3, H - 4 D) E - 2, F - 1, G - 4, H - 3


Correct Answer C

8 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

9 For the polynomial P(s) = s5  + s4 + 2s3 + 2s2 + 3s + 15, the number of roots which lie in the right half of the s-plane is
Options
A) 4 B) 2
C) 3 D) 1


Correct Answer B

10 An AM signal is detected using an envelope detector The carrier frequency and modulating signal frequency are 1 MHz and 2 kHz respectively. An appropriate value for the time constant of the envelope detector is
Options
A) 500 msec B) 20 msec
C) 0.2 msec D) 1 msec


Correct Answer B



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