Instrumentation Engineering
GATE IN topic:sensors-industrial-instrumentation PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 53. Imported answers require independent review unless marked reviewed.
Question 32
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A linear potentiometer (0 − 10 kΩ) is used to measure the water level as shown in the figure. The resistance between A and C varies linearly from 0 to 10 kΩ for a change in water level from 0 to 20 cm. The sensor is excited using a DC voltage source,
V with an internal resistance,
. If
V, the water level is _____ cm (rounded off to one decimal place). 
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Consider an ultrasonic measurement system shown in the figure. The ultrasonic transmitter (T) sends a continuous wave signal
volts towards an object whose vibration is modeled as
volts. Neglecting the phase shift due to any other effect, the received signal at the receiver (R) is
volts.Assuming the frequency sensitivity factor as 500 Hz/volt,
kHz,
kHz, the modulation index (
) and the frequency deviation in
, respectively, are 
Your answerChoose one option.
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Consider the capacitive sensor circuit and its output voltage shown in the figure. The circuit is switched ON at
. Assuming the opamp to be ideal, the frequency of the output voltage
is __________ kHz (rounded off to two decimal places). 
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A shielded cable with C_stray = 20 pF and R_wire = 10 Ω is used to connect the inductive sensors as shown in the figure. The RMS value of V_out is ____ V (rounded off to two decimal places).
Note: Assume all components are ideal, and sensors are not magnetically coupled.

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Inductance of a coil is measured as 10 mH, using an LCR meter, when no other objects are present near the coil. The LCR meter uses a sinusoidal excitation at 10 kHz. If a pure copper sheet is brought near the coil, the same LCR meter will read__________.
Your answerChoose one option.
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Which of the following flow meters offers the lowest resistance to the flow?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 14
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Pair the quantities (p) to (s) with the measuring devices (i) to (iv).
(i) Linear Variable Differential Transformer (LVDT)
(ii) Thermistor
(iii) Strain gauge
(iv) Diaphragm
(p) Torque
(q) Pressure
(r) Linear position
(s) Temperature
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 51
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A wire-wound ‘resistive potentiometer type’ angle sensor with 72 turns is used in an application. The first turn of the potentiometer is connected to ground while its last turn is connected to 3.6 V. The width of the wiper covers two turns ensuring make-before-break. The output (wiper) voltage when the wiper is on top of both the turns 35 and 36 is ______ V (rounded off to two decimal places).
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The two secondaries of a linear variable differential transformer (LVDT) showed a magnitude of 2 V (RMS) for zero displacement position of the core. It is noted that the phase of one of the secondaries has a deviation of one degree from the expected phase. Other than this deviation, the LVDT is ideal.
If the differential output sensitivity of the LVDT is 1 mV (RMS)/1
m, the output for zero displacement is __________
m (rounded off to one decimal place).Log in to check the answer
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A pneumatic nozzle-flapper system is conventionally used to convert ______
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