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Page 1
SESSION - 4
Page 2
SESSION - 4
2013 Question Booklet Code
IN-D
1/20
IN : INSTRUMENTATION ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not IN,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate
bubble under each digit of your registration number and (ii) write your registration number, your
name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number IN
D
Page 3
SESSION - 4
2013 Question Booklet Code
IN-D
1/20
IN : INSTRUMENTATION ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not IN,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate
bubble under each digit of your registration number and (ii) write your registration number, your
name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number IN
D
2013 INSTRUMENTATION ENGG. - IN
IN-D 2/20
Q.1 to Q.25 carry one mark each.
Q.1 In the feedback network shown below, if the feedback factor k is increased, then the
A
0
k
v
in
v
out
v
1
+
+
+
+
+
v
f
= kv
out
– –
–
–
–
(A) input impedance increases and output impedance decreases
(B) input impedance increases and output impedance also increases
(C) input impedance decreases and output impedance also decreases
(D) input impedance decreases and output impedance increases
Q.2
The Bode plot of a transfer function ) (s G is shown in the figure below.
Gain (dB)
The gain (20 log ( ) ) G s is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively. The phase is
negative for all ?. Then ) (s G is
(A)
s
8 . 39
(B)
2
8 . 39
s
(C)
s
32
(D)
2
32
s
Page 4
SESSION - 4
2013 Question Booklet Code
IN-D
1/20
IN : INSTRUMENTATION ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not IN,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate
bubble under each digit of your registration number and (ii) write your registration number, your
name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number IN
D
2013 INSTRUMENTATION ENGG. - IN
IN-D 2/20
Q.1 to Q.25 carry one mark each.
Q.1 In the feedback network shown below, if the feedback factor k is increased, then the
A
0
k
v
in
v
out
v
1
+
+
+
+
+
v
f
= kv
out
– –
–
–
–
(A) input impedance increases and output impedance decreases
(B) input impedance increases and output impedance also increases
(C) input impedance decreases and output impedance also decreases
(D) input impedance decreases and output impedance increases
Q.2
The Bode plot of a transfer function ) (s G is shown in the figure below.
Gain (dB)
The gain (20 log ( ) ) G s is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively. The phase is
negative for all ?. Then ) (s G is
(A)
s
8 . 39
(B)
2
8 . 39
s
(C)
s
32
(D)
2
32
s
2013 INSTRUMENTATION ENGG. - IN
IN-D 3/20
Q.3
In the circuit shown below what is the output voltage ) (
out
V in Volts if a silicon transistor Q and an
ideal op-amp are used?
(A) 15 (B) 0.7 (C) 0.7 (D) 15
Q.4 An accelerometer has input range of 0 to 10g, natural frequency 30 Hz and mass 0.001 kg. The
range of the secondary displacement transducer in mm required to cover the input range is
(A) 0 to 2.76 (B) 0 to 9.81 (C) 0 to 11.20 (D) 0 to 52.10
Q.5 Consider a delta connection of resistors and its equivalent star connection as shown. If all elements
of the delta connection are scaled by a factor k, k> 0, the elements of the corresponding star
equivalent will be scaled by a factor of
R
B
R
C
R
b
R
a
R
c
R
A
(A) k
2
(B) k (C) 1/k (D) k
Q.6 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 ( - t u the output is
(A) ) (
2
2
t u
t
(B) ) 1 (
2
) 1 (
- - t u
t t
(C) ) 1 (
2
2
) 1 (
- - t u
t
(D) ) 1 (
2
1
2
- - t u
t
Q.7 A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the
first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches
irrespective of the state of the other switch. The logic of switching of the bulb resembles
(A) an AND gate (B) an OR gate (C) an XOR gate (D) a NAND gate
Q.8 The differential pressure transmitter of a flow meter using a venturi tube reads 2.5 × 10
5
Pa for a
flow rate of 0.5 m
3
/s. The approximate flow rate in m
3
/s for a differential pressure 0.9 × 10
5
Pa is
(A) 0.30 (B) 0.18 (C) 0.83 (D) 0.60
Page 5
SESSION - 4
2013 Question Booklet Code
IN-D
1/20
IN : INSTRUMENTATION ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not IN,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate
bubble under each digit of your registration number and (ii) write your registration number, your
name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number IN
D
2013 INSTRUMENTATION ENGG. - IN
IN-D 2/20
Q.1 to Q.25 carry one mark each.
Q.1 In the feedback network shown below, if the feedback factor k is increased, then the
A
0
k
v
in
v
out
v
1
+
+
+
+
+
v
f
= kv
out
– –
–
–
–
(A) input impedance increases and output impedance decreases
(B) input impedance increases and output impedance also increases
(C) input impedance decreases and output impedance also decreases
(D) input impedance decreases and output impedance increases
Q.2
The Bode plot of a transfer function ) (s G is shown in the figure below.
Gain (dB)
The gain (20 log ( ) ) G s is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively. The phase is
negative for all ?. Then ) (s G is
(A)
s
8 . 39
(B)
2
8 . 39
s
(C)
s
32
(D)
2
32
s
2013 INSTRUMENTATION ENGG. - IN
IN-D 3/20
Q.3
In the circuit shown below what is the output voltage ) (
out
V in Volts if a silicon transistor Q and an
ideal op-amp are used?
(A) 15 (B) 0.7 (C) 0.7 (D) 15
Q.4 An accelerometer has input range of 0 to 10g, natural frequency 30 Hz and mass 0.001 kg. The
range of the secondary displacement transducer in mm required to cover the input range is
(A) 0 to 2.76 (B) 0 to 9.81 (C) 0 to 11.20 (D) 0 to 52.10
Q.5 Consider a delta connection of resistors and its equivalent star connection as shown. If all elements
of the delta connection are scaled by a factor k, k> 0, the elements of the corresponding star
equivalent will be scaled by a factor of
R
B
R
C
R
b
R
a
R
c
R
A
(A) k
2
(B) k (C) 1/k (D) k
Q.6 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 ( - t u the output is
(A) ) (
2
2
t u
t
(B) ) 1 (
2
) 1 (
- - t u
t t
(C) ) 1 (
2
2
) 1 (
- - t u
t
(D) ) 1 (
2
1
2
- - t u
t
Q.7 A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the
first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches
irrespective of the state of the other switch. The logic of switching of the bulb resembles
(A) an AND gate (B) an OR gate (C) an XOR gate (D) a NAND gate
Q.8 The differential pressure transmitter of a flow meter using a venturi tube reads 2.5 × 10
5
Pa for a
flow rate of 0.5 m
3
/s. The approximate flow rate in m
3
/s for a differential pressure 0.9 × 10
5
Pa is
(A) 0.30 (B) 0.18 (C) 0.83 (D) 0.60
2013 INSTRUMENTATION ENGG. - IN
IN-D 4/20
Q.9 A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the
sampling theorem, the sampling frequency in kHz which is not valid is
(A) 5 (B) 12 (C) 15 (D) 20
Q.10
A continuous random variable X has a probability density function , ) (
x
e x f
- = 8 < < x 0 . Then
} 1 { > X P is
(A) 0.368 (B) 0.5 (C) 0.632 (D) 1.0
Q.11 Match the following biomedical instrumentation techniques with their applications
P : Otoscopy U : Respiratory volume measurement
Q : Ultrasound Technique V : Ear diagnostics
R : Spirometry W : Echo-cardiography
S : Thermodilution Technique X : Heart volume measurement
(A) P-U, Q-V, R-X, S-W (B) P-V, Q-U, R-X, S-W
(C) P-V, Q-W, R-U, S-X (D) P-V, Q-W, R-X, S-U
Q.12 The type of the partial differential equation
2
2
f f
t x
? ?
=
? ?
is
(A) Parabolic (B) Elliptic (C) Hyperbolic (D) Nonlinear
Q.13
The discrete-time transfer function
1
1
1 2
1 0.5
z
z
- - - - is
(A) non-minimum phase and unstable.
(B) minimum phase and unstable.
(C) minimum phase and stable.
(D) non-minimum phase and stable.
Q.14
The transfer function
) (
) (
1
2
s V
s V
of the circuit shown below is
(A)
1
1 5 . 0
+
+
s
s
(B)
2
6 3
+
+
s
s
(C)
1
2
+
+
s
s
(D)
2
1
+
+
s
s
Read More
FAQs on Instrumentation (IN) 2013 GATE Paper (Set D) without solution
| 1. What is the importance of instrumentation in the field of engineering? |  |
Ans. Instrumentation plays a crucial role in engineering as it involves the measurement and control of various physical parameters. It helps in monitoring and optimizing the performance of industrial processes and systems. Additionally, it ensures safety and reliability by detecting faults and abnormalities in equipment and processes.
| 2. What are the key components of an instrumentation system? | |
Ans. An instrumentation system typically consists of three main components: sensors or transducers, signal conditioning circuitry, and data acquisition or control systems. Sensors or transducers convert physical parameters such as temperature, pressure, or flow into electrical signals. Signal conditioning circuitry amplifies, filters, and modifies these signals to make them suitable for processing. The data acquisition or control system collects, processes, and displays the data or controls the system based on the measurements.
| 3. How is instrumentation used in the field of process control? | |
Ans. Instrumentation plays a vital role in process control by continuously monitoring and regulating various parameters such as temperature, pressure, level, and flow. It ensures that the process operates within the desired range and meets the required specifications. Instruments such as temperature controllers, flow meters, and pressure transmitters are used to measure these parameters and provide feedback to the control system, which then adjusts the process variables accordingly.
| 4. What is the significance of calibration in instrumentation? | |
Ans. Calibration is a critical process in instrumentation that involves comparing the measurement values of an instrument or sensor with a known reference standard. It ensures the accuracy and reliability of the instrument by detecting any deviations or errors. Regular calibration helps in maintaining the measurement accuracy and traceability of instruments, ensuring that they provide trustworthy and consistent results. It is essential for quality control, compliance with standards, and meeting regulatory requirements.
| 5. How does instrumentation contribute to the field of research and development? | |
Ans. Instrumentation plays a significant role in research and development by providing accurate and reliable measurements for experimental studies and prototype testing. It enables researchers to collect data, analyze trends, and make informed decisions based on scientific evidence. Instruments such as data loggers, spectrometers, and oscilloscopes are used to measure various parameters and capture valuable data. This data is then used to optimize designs, improve performance, and develop new products or technologies.
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