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Quote soma Replybullet Topic: GATE – Sample Questions - ECE2
    Posted: 03Apr2007 at 5:25am
No. Question
1

Choose the correct one from among the alternatives A, B, C, D after matching an item from Group 1 with the most appropriate item in Group 2.

 

Group1 Group 2
1: FM
2: DM
3: PSK
4: PCM		 P: Slope overload
Q: m -law
R: Envelope detector
S: Capture effect
T: Hilbert transform
U: Matched filter

Options
A) 1-T,  2-P,   3-U,   4-S B) 1-S,   2-U,   3-P,   4-T
C) 1-S,   2-P,   3-U,   4-Q D) 1-U,   2-R,   3-S,   4-Q
Your Answer    (Not Answered)
Correct Answer C

2

A causal LTI system is described by the difference equation

2y[n] = ay[n-2] - 2x[n] + bx[n-1]

The system is stable only if
Options
A) | a | = 2, | b | < 2
 B) | a | > 2, | b | >2
C) | a |  < 2, any value of b
 D) | b | < 2, any value of a
Your Answer    (Not Answered)
Correct Answer C

3 The drain of an n-channel MOSFET is shorted to the gate so that VGS = VDS. The threshold voltage (VT) of MOSFET is 1 V. If the drain current (ID) is 1 mA for VGS = 2V, then for VGS = 3V, ID is
Options
A) 2 mA B) 3 mA
C) 9 mA D) 4 mA
Your Answer    (Not Answered)
Correct Answer D

4 The first and the last critical frequency of an RC-driving point impedance function must respectively be
Options
A) a zero and a pole B) a zero and a zero
C) a pole and a pole D) a pole and a zero
Your Answer    (Not Answered)
Correct Answer D

5 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
Your Answer    (Not Answered)
Correct Answer A

6 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
Your Answer    (Not Answered)
Correct Answer B

7 Choose the function f(t); -¥ < t < ¥, for which a Fourier series cannot be defined.
Options
A) 3 sin (25 t) B) 4 cos (20 t + 3) + 2 sin (710 t)
C) exp(-|t| )sin(25t) D) 1
Your Answer    (Not Answered)
Correct Answer C

8 In what range should Re(s) remain so that the Laplace transform of the function e(a+2)t+5 exits?
Options
A) Re (s) > a + 2 B) Re (s) > a + 7
C) Re (s) < 2 D) Re (s) > a + 5
Your Answer    (Not Answered)
Correct Answer A

9 The state variable equations of a system are:
1.  x1 = - 3x1 - x2 + u
2.  x1 = 2x1
     y  = x1 + u
 The system is 
Options
A) controllable but not observable B) observable but not controllable
C) neither controllable nor observable D) controllable and observable
Your Answer    (Not Answered)
Correct Answer D

10 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
Your Answer    (Not Answered)
Correct Answer B

11 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
Your Answer    (Not Answered)
Correct Answer D

12 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
Your Answer    (Not Answered)
Correct Answer C

13 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)
Your Answer    (Not Answered)
Correct Answer B

14 The Fourier transform of a conjugate symmetric function is always
Options
A) imaginary  B) conjugate anti-symmetric 
C) real D) conjugate symmetric
Your Answer    (Not Answered)
Correct Answer C

15

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
Your Answer    (Not Answered)
Correct Answer C

16 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
Your Answer    (Not Answered)
Correct Answer B

17 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
Your Answer    (Not Answered)
Correct Answer D

18

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
Your Answer    (Not Answered)
Correct Answer A

19 The cascade amplifier is a multistage configuration of
Options
A) CC-CB B) CE-CB
C) CB-CC D) CE-CC
Your Answer    (Not Answered)
Correct Answer B

20 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
Your Answer    (Not Answered)
Correct Answer A



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