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Priya
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Joined: 04Jan2007
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Quote Priya Replybullet Topic: Instrumentation Engg GATE sample paper
    Posted: 05Jan2007 at 3:22pm


1 An oscilloscope screen displays a line inclined at 45°. Its Y-input is a sine wave of frequency f then the X-input should be
Options
A) sine wave of frequency f and 0° phase shift with the Y-input B) sine wave of frequency f and 45° phase shift with the Y-input
C) sine wave of frequency f and 90° phase shift with the Y-input D) saw-tooth wave of frequency f



2 If the Fourier transform of x[n] is X(ejw) then the Fourier transform of (-l)n x[n] is
Options
A) (-j)w X(ejw) B) (-l)w X(ejw)
C) X(e(j(w -p))
D)
d
dw 
(X(ejw))


Correct Answer C

3 One method of measuring the radius of an arc (r) is to allow a roller of radius (r) to oscillate to and fro on the arc and measure the average time per oscillation, T seconds . The roller will then have a linear acceleration of 2g/3 where g is acceleration due to gravity in such an experiment, the value of radius of arc can be found from the expression:
Options
A) (T2g/6p2)+r B) (T2g/6p2)-r
C) (T2g/6p2 D) (6r2/T2g)


Correct Answer A

4 The following terms used in the context of an instrument are numbered as shown :
(1) accuracy, (2) sensitivity, (3) precision and (4) resolution
Match these with their possible definitions listed below
P. Repeatability of readings on successive observations
Q. Smallest perceptible change in the output
R. Deviation of the output from the true value
S. Minimum value of the input from the true value
T. Ratio of the change in the instrument reading to the change in the measured variable. 
Options
A) 1-P, 2-Q, 3-R, 4-S  B) 1-S, 2-Q, 3-P, 4-T
C) 1-R, 2-T, 3-P, 4-Q D) 1-T, 2-Q, 3-P, 4-R


Correct Answer C

5 Which one of the following is derived unit (NOT a basic unit) in SI system?
Options
A)

Candela

B)

coulomb

C) Kelvin D) mol.


Correct Answer C

6 An amplifier of gain 10, with a gain-bandwidth product of 1 MHz and slew rate of 0.1 V/ms is fed with a10 KHz symmetrical square wave of ± 1 V amplitude.  Its output will be
Options
A) ± 10 V amplitude square wave B) ± 2.5 V amplitude square wave
C) ± 10 Vamplitude triangular wave D) ± 2.5 V amlitude triangular wave


Correct Answer C

7 V1 and V2 are the input voltages of an instrumentation amplifier. The output of the instrumentation amplifier is found to be 100(V1 – V2) + 10-4 (V1 + V2). The gain and the common mode rejection ratio (CMRR) of the instrumentation amplifier respectively are
Options
A) (50, 60 dB)
B) (50, 120 dB)
C) (100, 60dB)
D) (100, 120 dB) 


Correct Answer C

8

The sequence x[n] whose z-transform is X[z] = e(1/Z) is

Options
A)
1
n!
u[n]
B)
1
-n!
u[-n]
C) (-1)n  
1
n!
u[n]
D)
1
-(n+1)!
u[-n-1]



9 The time taken by an ionized atom, of mass m kg and charge e Coulombs, pulsed into a field-free region with V volts, to reach a detector L meters away is 
Options
A)
1
L
Ö
m
2eV
B)

L

Ö
m
2eV

C) m
Ö
L
2eV
D)
2
L
Ö
m
2eV


Correct Answer B

10 The clock frequency of a timer-counter is 10MHz.  The timer-counter is used in the period mode and the input to the timer-counter is a square wave of frequency 2 kHz. The display of the timer-counter will show a value
Options
A) 200 B) 2000
C) 5000 D) 50000


Correct Answer C

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