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ECE GATE sample paper

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Printed Date: 13Feb2025 at 12:06am


Topic: ECE GATE sample paper
Posted By: Arpita
Subject: ECE GATE sample paper
Date Posted: 04Jan2007 at 6:10pm


1

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

2 The minimum number of 2-to -1 multiplexers required to realize a 4-to 1 multiplexer is
Options
A) 1 B) 2
C) 3 D) 4


Correct Answer B

3 Choose the correct one front among the alternatives A, B, C, D after matching an item from Group 1 with the most appropriate item, in Group 2.
 
Group 1 Group 2
P: Shift register 1:Frequency division
Q: Counter 2: Addressingin memory chips
R: Decoder 3: Serial to parallel data conversion

 
Options
A) P-3, Q- 2, R-1 B) P-3, Q-1, R-2
C) P-2, Q-1, R-3 D) P-1, Q- 2, R-2


Correct Answer B

4 A random variable X with uniform density in the interval 0 to 1 is quantized as follows:
If  0 £ X £ 0.3,  xq = 0
If  0.3 £ X £ 1,  xq = 0.7
where xq is the quantized value of X.
The root-mean square value of the quantization noise is
Options
A) 0.573 B) 0.198
C) 2.205  D) 0.266


Correct Answer A

5 In a full-wave rectifier using two ideal diodes, Vdc and Vm are the dc and peak values of the voltage respectively across a resistive load. If PIV is the peak inverse voltage of the diode, then the appropriate relationships for this rectifier are
Options
A)

Vdc =

Vm 
p 
 , PIV = 2Vm

B) Vdc = 2
Vm 
p 
 , PIV = 2Vm
C) Vdc = 2
Vm 
p 
 , PIV = Vm
D) Vdc =
Vm 
p 
 , PIV = Vm


Correct Answer B

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 It is desired to multiply the numbers 0AH by 0BH and store the result in the accumulator. The numbers are available in registers B and C respectively. A Part of
the 8085 program for this purpose is given below:
MVI A, 00H
Loop;- - - - - - - - -
--------------------
-------------------
HLT END
The sequence of instruction to the complete the program would be
Options
A) JNZ LOOP, ADD B, DCR C B) ADD S, JNZ LOOP, DCR C
C) DCR C, JNZ LOOP, ADD B D) ADD B, DCR C, JNZ LOOP


Correct Answer D

8

A solution of the following differential equation is given by

 

d2y
dx2
 -
dy
dx
 + 6y = 0 

Options
A)

y = e2x + e-3x

B)

y = e2x + e3x

C)

y = e-2x + e3x

D)

y = e-2x + e-3x



Correct Answer B

9 Consider the following statements S1 and S2.
S1: The threshold voltage (VT) of a MOS capacitor decreases with increase in gate oxide thickness 
S2: The threshold voltage (VT) of a MOS capacitor decreases with increase in substrate doping concentration
Which one of the following is correct?
Options
A) S1 is FALSE and S2 is TRUE
B) Both S1 and S2 are TRUE
C) Both S1 and S2 are FALSE
D) S1 is TRUE and S2 is FALSE


Correct Answer A

10 Consider an abrupt p-junction. Let Vbi be the built-in potential of this junction and VR be the applied reverse bias. If the junction capacitance (Cj) is 1 pF for
Vbi + VR = 1V, then for Vbi + VR - 4V, Cj will be
Options
A) 4 pF B) 2 pF
C) 0.25 pF D) 0.5 pF


Correct Answer D



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