Instrumentation Engineering
GATE IN purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 501–510 of 650. Imported answers require independent review unless marked reviewed.
Question 36
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In the circuit below, the light dependent resistor (LDR) receives light from the LED. The LDR has resistances of 5 kΩ and 500 Ω under dark and illuminated conditions, respectively. The LED

is OFF at time
. At time
s, the switch
is closed for 1 ms and then kept open thereafter. Assuming zero propagation delay in the devices, the LEDYour answerChoose one option.
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A differential capacitive sensor with a distance between the extreme plates 100 mm is shown in figure below. The difference voltage
, where
and
are the rms values, for a downward displacement of 10 mm of the intermediate plate from the central position, in volts, is

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A piezoelectric transducer with sensitivity of 30 mV/kPa is intended to be used in the range of 0 kPa to 100 kPa. The readout circuit has a peak noise amplitude of 0.3 mV and measured signals over the full pressure range are encoded with 10 bits. The smallest pressure that produces a non-zero output, in units of Pa, is approximately
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A 100 W light source emits uniformly in all directions. A photodetector having a circular active area whose diameter is 2 cm is placed 1 m away from the source, normal to the incident light. If the responsivity of the photodetector is 0.4 A/W, the photo-current generated in the detector, in units of mA, is
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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 40
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A resistance-meter has five measurement range-settings between 200 Ω and 2 MΩ in multiples of 10. The meter measures resistance of a device by measuring a full-range voltage of 2 V across the device by passing an appropriate constant current for each range-setting. If a device having a resistance value in the range 8 kΩ to 12 kΩ and a maximum power rating of 100 μW is to be measured safely with this meter, the choice for range-setting on the meter for best resolution in measurement, in kΩ, is
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A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1 kHz. If the average power output is 1 mW, the average power over a single pulse duration, in watts, is
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Four identical resistive strain gauges with gauge factor of 2.0 are used in a Wheatstone bridge as shown in the figure below. Only one of the strain gauges
changes its resistance due to strain. If the output voltage
is measured to be 1 mV, the magnitude of strain, in units of microstrain, is

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The frequency response of a digital filter
has the following characteristics
Passband:
for
and
Stopband:
for
,
where
is the normalized angular frequency in rad/sample. If the analog upper cut off frequency for the passband of the above digital filter is to be 1.2 kHz, then the sampling frequency should be ______ kHz.Log in to check the answer
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In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time
. If the capacitor has no charge for
, the voltage at node P at
is ______ V. (Answer should be rounded off to two decimal places)

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In the circuit shown below, the angular frequency
at which the current is in phase with the voltage is ______ rad/s.

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