Instrumentation Engineering
GATE IN exam:gate PYQs
Build your understanding with focused practice from past exam papers.
Questions 151–160 of 650. Imported answers require independent review unless marked reviewed.
Question 21
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A linear transducer is calibrated for the ranges shown in the figure. The gain of the transducer is ______ mA/°C (rounded off to two decimal places).

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Consider a filter defined by the difference equation
where
and
represent the input and output, respectively. If the magnitude response of the filter at
is
, the value of
is ______ (rounded off to two decimal places).Log in to check the answer
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Consider the circuit shown in the figure.

The CMOS digital logic circuit has infinite input impedance. Assume the opamp is ideal. A 1.8 V Zener diode with a minimum Zener current of 2 mA is used. The corresponding maximum value of resistance
is ______ kΩ (rounded off to one decimal place).Log in to check the answer
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Figure shows an amplifier using an NMOS transistor. Assume that the transistor is in saturation with device parameters,
, threshold voltage
and
. Ignore the channel length modulation effect. The drain current of the transistor at the operating point is ______ μA (rounded off to nearest integer). 
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The number of complex multiplications required for computing a 16-point DFT using the decimation-in-time radix-2 FFT is ______ (in integer).
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A
matrix
with all real elements has eigenvalues
,
, and
. The value of
is ______ (rounded off to nearest integer).Log in to check the answer
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The Nyquist sampling frequency for
is ______ Hz (rounded off to nearest integer).Log in to check the answer
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The resistance of a 20 kΩ resistor is measured six consecutive times using an LCR meter. The first five readings are 19 kΩ, 18 kΩ, 23 kΩ, 21 kΩ and 17 kΩ. If the mean of the measurements and the true value are equal, the last reading is ________ kΩ (rounded off to nearest integer).
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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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