Instrumentation (IN) 2008 GATE Paper without solution GATE Notes | EduRev

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GATE : Instrumentation (IN) 2008 GATE Paper without solution GATE Notes | EduRev

 Page 1


      ?IN ?Gate 2008
1
Q. No. 1 – 20 Carry One Mark Each
1.
2
x 1
dy
Given y x 2x 10, the value of is equal to
dx
?
? ? ?
(A) 0 (B) 4 (C) 12 (D)13
2.
x 0
sinx
lim is
x
?
(A) Indeterminate (B) 0 (C) 1 (D) ?
3. The power supplied by the dc voltage source in the circuit shown below is
(A) 0W (B) 1.0W (C) 2.5W (D)3.0W
4. The current I supplied by the dc voltage source in the circuit shown below is
(A) 0A (B) 0.5A (C) 1A (D)2A
5. For signal conditioning of a piezoelectric type transducer we require
(A) a charge amplifier (B) a differential amplifier
(C) an instrumentation amplifier (D) a transconductance amplifier
6. A linear variable differential transformer (LVDT) is
(A) a displacement transducer
(B) an impedance matching transformer
(C) a differential temperature sensor
(D) an auto transformer
1 ? ?
?
1A
1V
I
3 ?
6 ?
1 ?
3V
?
?
Page 2


      ?IN ?Gate 2008
1
Q. No. 1 – 20 Carry One Mark Each
1.
2
x 1
dy
Given y x 2x 10, the value of is equal to
dx
?
? ? ?
(A) 0 (B) 4 (C) 12 (D)13
2.
x 0
sinx
lim is
x
?
(A) Indeterminate (B) 0 (C) 1 (D) ?
3. The power supplied by the dc voltage source in the circuit shown below is
(A) 0W (B) 1.0W (C) 2.5W (D)3.0W
4. The current I supplied by the dc voltage source in the circuit shown below is
(A) 0A (B) 0.5A (C) 1A (D)2A
5. For signal conditioning of a piezoelectric type transducer we require
(A) a charge amplifier (B) a differential amplifier
(C) an instrumentation amplifier (D) a transconductance amplifier
6. A linear variable differential transformer (LVDT) is
(A) a displacement transducer
(B) an impedance matching transformer
(C) a differential temperature sensor
(D) an auto transformer
1 ? ?
?
1A
1V
I
3 ?
6 ?
1 ?
3V
?
?
      ?IN ?Gate 2008
2
7. The temperature being sensed by a negative temperature coefficient (NTC) type
thermistor is linearly increasing. Its resistance will
(A) linearly increase with temperature
(B) exponentially increase with temperature
(C) linearly decrease with temperature
(D) exponentially decrease with temperature
8. For a single stage BJT common base amplifier
(A) current gain as well as voltage gain can be greater than unity
(B) current gain can be greater than unity but voltage gain is always less than
unity
(C) voltage gain can be greater than unity but current gain is always less than 
unity
(D) current gain as well as voltage gain is always less than unity
9. In the circuit shown below, the ideality factor ?of the diode is unity and the
voltage drop across it is 0.7V. The dynamic resistance of the diode at room
temperature is approximately
(A) 15 ? (B) 25 ? (C) 50 ? (D) 700 ?
10. An ideal op-amp has the characteristics of an ideal
(A) voltage controlled voltage source (B) voltage controlled current source 
(C) current controlled voltage source (D) current controlled current source
11. The inverters in the ring oscillator circuit shown below are identical. If the output
waveform has a frequency of 10 MHz, the propagation delay pf each inverter is
(A) 5 ns (B) 10 ns (C) 20 ns (D)50 ns
12. A 2K×8 bit RAM is interfaced to an 8-bit microprocessor. If the address of the first
memory location in the RAM is 0800H, the address of the last memory location
will be
(A) 1000H (B) 0FFFH (C) 2848H (D)47FFH
1k ?
?
?
1.7V
output
Page 3


      ?IN ?Gate 2008
1
Q. No. 1 – 20 Carry One Mark Each
1.
2
x 1
dy
Given y x 2x 10, the value of is equal to
dx
?
? ? ?
(A) 0 (B) 4 (C) 12 (D)13
2.
x 0
sinx
lim is
x
?
(A) Indeterminate (B) 0 (C) 1 (D) ?
3. The power supplied by the dc voltage source in the circuit shown below is
(A) 0W (B) 1.0W (C) 2.5W (D)3.0W
4. The current I supplied by the dc voltage source in the circuit shown below is
(A) 0A (B) 0.5A (C) 1A (D)2A
5. For signal conditioning of a piezoelectric type transducer we require
(A) a charge amplifier (B) a differential amplifier
(C) an instrumentation amplifier (D) a transconductance amplifier
6. A linear variable differential transformer (LVDT) is
(A) a displacement transducer
(B) an impedance matching transformer
(C) a differential temperature sensor
(D) an auto transformer
1 ? ?
?
1A
1V
I
3 ?
6 ?
1 ?
3V
?
?
      ?IN ?Gate 2008
2
7. The temperature being sensed by a negative temperature coefficient (NTC) type
thermistor is linearly increasing. Its resistance will
(A) linearly increase with temperature
(B) exponentially increase with temperature
(C) linearly decrease with temperature
(D) exponentially decrease with temperature
8. For a single stage BJT common base amplifier
(A) current gain as well as voltage gain can be greater than unity
(B) current gain can be greater than unity but voltage gain is always less than
unity
(C) voltage gain can be greater than unity but current gain is always less than 
unity
(D) current gain as well as voltage gain is always less than unity
9. In the circuit shown below, the ideality factor ?of the diode is unity and the
voltage drop across it is 0.7V. The dynamic resistance of the diode at room
temperature is approximately
(A) 15 ? (B) 25 ? (C) 50 ? (D) 700 ?
10. An ideal op-amp has the characteristics of an ideal
(A) voltage controlled voltage source (B) voltage controlled current source 
(C) current controlled voltage source (D) current controlled current source
11. The inverters in the ring oscillator circuit shown below are identical. If the output
waveform has a frequency of 10 MHz, the propagation delay pf each inverter is
(A) 5 ns (B) 10 ns (C) 20 ns (D)50 ns
12. A 2K×8 bit RAM is interfaced to an 8-bit microprocessor. If the address of the first
memory location in the RAM is 0800H, the address of the last memory location
will be
(A) 1000H (B) 0FFFH (C) 2848H (D)47FFH
1k ?
?
?
1.7V
output
      ?IN ?Gate 2008
3
13. The fundamental period of the discrete-time signal 
5
f n
6
x n e
? ? ?
? ?
? ?
? ? ?
? ?
 is
(A)
6
5 ?
(B)
12
5
(C) 6 (D)12
14. Which one of the following discrete-time systems is time invariant?
(A) y n nx n ? ? ? ? ?
? ? ? ?
(B) y n x 3n ? ? ? ? ?
? ? ? ?
(C) y n x n ? ? ? ? ? ?
? ? ? ?
(D) y n x n 3 ? ? ? ? ? ?
? ? ? ?
15. If a current of ? ? ? ? 6 2 sin 100 t 6 2 cos 300 t A
4
? ? ?
? ? ? ? ?
? ?
? ?
is passed through a true 
RMS ammeter, the meter reading will be
(A) 6 2A (B) 126A (C) 12A (D) 216A
16. If the ac bridge circuit shown below is
balanced, the element Z can be a
(A) Pure capacitor
(B) Pure inductor
(C) R-L series combination
(D) R-L parallel combination
17. The Bode asymptotic plot of a transfer function is given below. In the frequency
range shown, the transfer function has
(A) 3 poles ands 1 zero (B) 1 pole and 2 zeros
(C) 2 poles and 1 zero (D) 2 poles and 2 zeros
18. For radioisotope imaging, an Anger camera is fitted with a parallel hole
collimator. If the thickness of the collimator is increased, the camera
(A) resolution and sensitivity will increase
(B) resolution and sensitivity will decrease
(C) resolution will increase and sensitivity will decrease
(D) resolution will decrease and sensitivity will increase
log ?
dB
20dB /decade ?
20dB /decade ?
0dB /decade
1
?
2
?
:
Z
D
Detector
Page 4


      ?IN ?Gate 2008
1
Q. No. 1 – 20 Carry One Mark Each
1.
2
x 1
dy
Given y x 2x 10, the value of is equal to
dx
?
? ? ?
(A) 0 (B) 4 (C) 12 (D)13
2.
x 0
sinx
lim is
x
?
(A) Indeterminate (B) 0 (C) 1 (D) ?
3. The power supplied by the dc voltage source in the circuit shown below is
(A) 0W (B) 1.0W (C) 2.5W (D)3.0W
4. The current I supplied by the dc voltage source in the circuit shown below is
(A) 0A (B) 0.5A (C) 1A (D)2A
5. For signal conditioning of a piezoelectric type transducer we require
(A) a charge amplifier (B) a differential amplifier
(C) an instrumentation amplifier (D) a transconductance amplifier
6. A linear variable differential transformer (LVDT) is
(A) a displacement transducer
(B) an impedance matching transformer
(C) a differential temperature sensor
(D) an auto transformer
1 ? ?
?
1A
1V
I
3 ?
6 ?
1 ?
3V
?
?
      ?IN ?Gate 2008
2
7. The temperature being sensed by a negative temperature coefficient (NTC) type
thermistor is linearly increasing. Its resistance will
(A) linearly increase with temperature
(B) exponentially increase with temperature
(C) linearly decrease with temperature
(D) exponentially decrease with temperature
8. For a single stage BJT common base amplifier
(A) current gain as well as voltage gain can be greater than unity
(B) current gain can be greater than unity but voltage gain is always less than
unity
(C) voltage gain can be greater than unity but current gain is always less than 
unity
(D) current gain as well as voltage gain is always less than unity
9. In the circuit shown below, the ideality factor ?of the diode is unity and the
voltage drop across it is 0.7V. The dynamic resistance of the diode at room
temperature is approximately
(A) 15 ? (B) 25 ? (C) 50 ? (D) 700 ?
10. An ideal op-amp has the characteristics of an ideal
(A) voltage controlled voltage source (B) voltage controlled current source 
(C) current controlled voltage source (D) current controlled current source
11. The inverters in the ring oscillator circuit shown below are identical. If the output
waveform has a frequency of 10 MHz, the propagation delay pf each inverter is
(A) 5 ns (B) 10 ns (C) 20 ns (D)50 ns
12. A 2K×8 bit RAM is interfaced to an 8-bit microprocessor. If the address of the first
memory location in the RAM is 0800H, the address of the last memory location
will be
(A) 1000H (B) 0FFFH (C) 2848H (D)47FFH
1k ?
?
?
1.7V
output
      ?IN ?Gate 2008
3
13. The fundamental period of the discrete-time signal 
5
f n
6
x n e
? ? ?
? ?
? ?
? ? ?
? ?
 is
(A)
6
5 ?
(B)
12
5
(C) 6 (D)12
14. Which one of the following discrete-time systems is time invariant?
(A) y n nx n ? ? ? ? ?
? ? ? ?
(B) y n x 3n ? ? ? ? ?
? ? ? ?
(C) y n x n ? ? ? ? ? ?
? ? ? ?
(D) y n x n 3 ? ? ? ? ? ?
? ? ? ?
15. If a current of ? ? ? ? 6 2 sin 100 t 6 2 cos 300 t A
4
? ? ?
? ? ? ? ?
? ?
? ?
is passed through a true 
RMS ammeter, the meter reading will be
(A) 6 2A (B) 126A (C) 12A (D) 216A
16. If the ac bridge circuit shown below is
balanced, the element Z can be a
(A) Pure capacitor
(B) Pure inductor
(C) R-L series combination
(D) R-L parallel combination
17. The Bode asymptotic plot of a transfer function is given below. In the frequency
range shown, the transfer function has
(A) 3 poles ands 1 zero (B) 1 pole and 2 zeros
(C) 2 poles and 1 zero (D) 2 poles and 2 zeros
18. For radioisotope imaging, an Anger camera is fitted with a parallel hole
collimator. If the thickness of the collimator is increased, the camera
(A) resolution and sensitivity will increase
(B) resolution and sensitivity will decrease
(C) resolution will increase and sensitivity will decrease
(D) resolution will decrease and sensitivity will increase
log ?
dB
20dB /decade ?
20dB /decade ?
0dB /decade
1
?
2
?
:
Z
D
Detector
      ?IN ?Gate 2008
4
19. In the standard 12-lead ECG recording system, the minimum number of
electrodes required to be attached to a human subject for recording any one of
the unipolar chest lead signals is
(A) 1 (B) 2 (C) 4 (D)5
20. A laser light with a wavelength of 633nm is passed through 1cm length of tissue
and 2cm length of glass. The refractive indices of tissue ad glass are 1.33 ad 1.5
respectively. The velocities of laser light in the tissue and in the glass are in the
ratio of
(A) 1.33:0.75 (B) 1.33:3.0 (C) 1.33:15 (D)1.5:1.33
Q. No. 21 – 75 Carry Two Marks Each
21. The expression 
lnx
e for x 0
?
? is equal to
(A) -x (B) x (C) x
-1
(D)-x
-1
22. Consider the differential equation
2
dy
1 y
dx
? ? . Which one of the following can be 
a particular solution of this differential equation?
(A) ? ? y tan x 3 ? ? (B) y tanx 3 ? ? (C) ? ? x tan y 3 ? ? (D) x tany 3 ? ?
23. Consider the function y=x
2
-6x+9. The maximum value of y obtained when x
varies over the interval 2 to 5 is
(A) 1 (B) 3 (C) 4 (D)9
24. It is known that two roots of the nonlinear equation 
3 2
x 6x 11x 6 0 ? ? ? ? are 1
and 3. The third root will be
(A) j (B) - j (C) 2 (D)4
25. Consider a Gaussian distributed random variable with zero mean and standard
deviation ?. The value of its cumulative distribution function at the origin will be
(A) 0 (B) 0.5 (C) 1 (D)10 ?
26. A random variable is uniformly distributed over the interval 2 to 10. Its variance
will be
(A)
16
3
(B) 6 (C)
256
9
(D)36
27. The Fourier transform of ? ? ? ? ? ?
at
x t e u t ,where u t
?
? ? is the unit step function
(A) Exists for any real value of a
(B) Does not exist for any real value of a
(C) Exists if the real value of a is strictly negative
(D) Exists if the real value of a is strictly positive
Page 5


      ?IN ?Gate 2008
1
Q. No. 1 – 20 Carry One Mark Each
1.
2
x 1
dy
Given y x 2x 10, the value of is equal to
dx
?
? ? ?
(A) 0 (B) 4 (C) 12 (D)13
2.
x 0
sinx
lim is
x
?
(A) Indeterminate (B) 0 (C) 1 (D) ?
3. The power supplied by the dc voltage source in the circuit shown below is
(A) 0W (B) 1.0W (C) 2.5W (D)3.0W
4. The current I supplied by the dc voltage source in the circuit shown below is
(A) 0A (B) 0.5A (C) 1A (D)2A
5. For signal conditioning of a piezoelectric type transducer we require
(A) a charge amplifier (B) a differential amplifier
(C) an instrumentation amplifier (D) a transconductance amplifier
6. A linear variable differential transformer (LVDT) is
(A) a displacement transducer
(B) an impedance matching transformer
(C) a differential temperature sensor
(D) an auto transformer
1 ? ?
?
1A
1V
I
3 ?
6 ?
1 ?
3V
?
?
      ?IN ?Gate 2008
2
7. The temperature being sensed by a negative temperature coefficient (NTC) type
thermistor is linearly increasing. Its resistance will
(A) linearly increase with temperature
(B) exponentially increase with temperature
(C) linearly decrease with temperature
(D) exponentially decrease with temperature
8. For a single stage BJT common base amplifier
(A) current gain as well as voltage gain can be greater than unity
(B) current gain can be greater than unity but voltage gain is always less than
unity
(C) voltage gain can be greater than unity but current gain is always less than 
unity
(D) current gain as well as voltage gain is always less than unity
9. In the circuit shown below, the ideality factor ?of the diode is unity and the
voltage drop across it is 0.7V. The dynamic resistance of the diode at room
temperature is approximately
(A) 15 ? (B) 25 ? (C) 50 ? (D) 700 ?
10. An ideal op-amp has the characteristics of an ideal
(A) voltage controlled voltage source (B) voltage controlled current source 
(C) current controlled voltage source (D) current controlled current source
11. The inverters in the ring oscillator circuit shown below are identical. If the output
waveform has a frequency of 10 MHz, the propagation delay pf each inverter is
(A) 5 ns (B) 10 ns (C) 20 ns (D)50 ns
12. A 2K×8 bit RAM is interfaced to an 8-bit microprocessor. If the address of the first
memory location in the RAM is 0800H, the address of the last memory location
will be
(A) 1000H (B) 0FFFH (C) 2848H (D)47FFH
1k ?
?
?
1.7V
output
      ?IN ?Gate 2008
3
13. The fundamental period of the discrete-time signal 
5
f n
6
x n e
? ? ?
? ?
? ?
? ? ?
? ?
 is
(A)
6
5 ?
(B)
12
5
(C) 6 (D)12
14. Which one of the following discrete-time systems is time invariant?
(A) y n nx n ? ? ? ? ?
? ? ? ?
(B) y n x 3n ? ? ? ? ?
? ? ? ?
(C) y n x n ? ? ? ? ? ?
? ? ? ?
(D) y n x n 3 ? ? ? ? ? ?
? ? ? ?
15. If a current of ? ? ? ? 6 2 sin 100 t 6 2 cos 300 t A
4
? ? ?
? ? ? ? ?
? ?
? ?
is passed through a true 
RMS ammeter, the meter reading will be
(A) 6 2A (B) 126A (C) 12A (D) 216A
16. If the ac bridge circuit shown below is
balanced, the element Z can be a
(A) Pure capacitor
(B) Pure inductor
(C) R-L series combination
(D) R-L parallel combination
17. The Bode asymptotic plot of a transfer function is given below. In the frequency
range shown, the transfer function has
(A) 3 poles ands 1 zero (B) 1 pole and 2 zeros
(C) 2 poles and 1 zero (D) 2 poles and 2 zeros
18. For radioisotope imaging, an Anger camera is fitted with a parallel hole
collimator. If the thickness of the collimator is increased, the camera
(A) resolution and sensitivity will increase
(B) resolution and sensitivity will decrease
(C) resolution will increase and sensitivity will decrease
(D) resolution will decrease and sensitivity will increase
log ?
dB
20dB /decade ?
20dB /decade ?
0dB /decade
1
?
2
?
:
Z
D
Detector
      ?IN ?Gate 2008
4
19. In the standard 12-lead ECG recording system, the minimum number of
electrodes required to be attached to a human subject for recording any one of
the unipolar chest lead signals is
(A) 1 (B) 2 (C) 4 (D)5
20. A laser light with a wavelength of 633nm is passed through 1cm length of tissue
and 2cm length of glass. The refractive indices of tissue ad glass are 1.33 ad 1.5
respectively. The velocities of laser light in the tissue and in the glass are in the
ratio of
(A) 1.33:0.75 (B) 1.33:3.0 (C) 1.33:15 (D)1.5:1.33
Q. No. 21 – 75 Carry Two Marks Each
21. The expression 
lnx
e for x 0
?
? is equal to
(A) -x (B) x (C) x
-1
(D)-x
-1
22. Consider the differential equation
2
dy
1 y
dx
? ? . Which one of the following can be 
a particular solution of this differential equation?
(A) ? ? y tan x 3 ? ? (B) y tanx 3 ? ? (C) ? ? x tan y 3 ? ? (D) x tany 3 ? ?
23. Consider the function y=x
2
-6x+9. The maximum value of y obtained when x
varies over the interval 2 to 5 is
(A) 1 (B) 3 (C) 4 (D)9
24. It is known that two roots of the nonlinear equation 
3 2
x 6x 11x 6 0 ? ? ? ? are 1
and 3. The third root will be
(A) j (B) - j (C) 2 (D)4
25. Consider a Gaussian distributed random variable with zero mean and standard
deviation ?. The value of its cumulative distribution function at the origin will be
(A) 0 (B) 0.5 (C) 1 (D)10 ?
26. A random variable is uniformly distributed over the interval 2 to 10. Its variance
will be
(A)
16
3
(B) 6 (C)
256
9
(D)36
27. The Fourier transform of ? ? ? ? ? ?
at
x t e u t ,where u t
?
? ? is the unit step function
(A) Exists for any real value of a
(B) Does not exist for any real value of a
(C) Exists if the real value of a is strictly negative
(D) Exists if the real value of a is strictly positive
      ?IN ?Gate 2008
5
28. In the circuit shown below the maximum power that can be transferred to the
load 
L
Z is
(A) 250W (B) 500W (C) 1000W (D)2000W
29. A complete variable Z x j0.1 ? ? has its real part x varying in the range
to ?? ? ? . Which one of the following is the locus (shown in thick lines) of 1/Z in
the complex plane?
(A) (B)
(C) (D)
30. For the circuit shown below the input resistance 
2
1
11
1
I 0
V
R is
I
?
?
(A) 3 ? ? (B) 2 ? (C) 3 ? (D) 13 ?
L
Z
10 ?
10mH
? ? ? ? i t 10 2 sin 1000t A
Real axis
Image axis
-j10 ^
Real axis
Image axis
-j10 ^
Real axis
Image axis
-j10
Real axis
Image axis
-j10
? ?
1
V
?
?
2
V
?
?
3
V
?
?
2 ?
1
I
2
I
2
3I
3
2V
2 ? 1 ?
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