Instrumentation Engineering
GATE IN format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 270. Imported answers require independent review unless marked reviewed.
Question 29
Open questionINNAT1 markNeeds review
Consider the readout circuit of a piezoelectric sensor shown in the figure. When the piezoelectric sensor generates a charge
, the resulting change in voltage
is −2 V. Then the corresponding change in the voltage
is ____ V (rounded off to nearest integer). Note: Assume all components are ideal. 
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The voltage applied and the current drawn by a circuit are
The average power absorbed by the circuit is ________ W (rounded off to nearest integer).Log in to check the answer
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The current
drawn by a circuit is given as
The root-mean-square value of
is ________ A (rounded off to one decimal place).Log in to check the answer
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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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The switch in the following figure has been closed for a long time (
). It is opened at
seconds. The value of
at
is ________ V/s (rounded off to nearest integer). 
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Consider a system given by the following first order differential equation:
where,
and
. Using a step size
for the improved Euler method, the value of
at
is ________ (rounded off to two decimal places).Log in to check the answer
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Indian Premier League has divided the sixteen cricket teams into two equal pools: Pool-A and Pool-B. Four teams of Pool-A have blue log jerseys while the rest four have red log jerseys. Five teams of Pool-B have blue log jerseys while the rest three have red log jerseys.
If one team from each pool reaches the final, the probability that one team has a blue log jersey and another has a red log jersey is ______ (rounded off to one decimal place).
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Open questionINNAT2 marksNeeds review
The readings recorded from a 20-psig pressure gauge are given in the Table. The regression line obtained for the data is
. The regression coefficient of determination,
______ (rounded off to three decimal places). | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
(psig) | 10.3 | 10.5 | 10.4 | 10.5 | 10.5 |
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In the figure shown,
,
, and INA is assumed to be ideal. The equivalent resistance between A and B is ____ k
(rounded off to nearest integer). 
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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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