Instrumentation Engineering
GATE IN topic:process-control PYQs
Build your understanding with focused practice from past exam papers.
Questions 441–450 of 650. Imported answers require independent review unless marked reviewed.
Question 41
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The address lines A9 … A2 of a 10 bit, 1.023 V full-scale digital to analog converter (DAC) is connected to the data lines D7 to D0 of an 8-bit microprocessor, with A1 and A0 of the DAC grounded. Now, D7 … D0 is changed from 1010 1010 to 1010 1011. The corresponding change in the output of the DAC (in mV, rounded off to one decimal place) is ____
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The real power drawn by a balanced load connected to a 400 V, 50 Hz, balanced, symmetrical 3-phase, 3-wire, RYB sequence mains is measured using the two-wattmeter method. Wattmeter W1 is connected in the R line and wattmeter W2 is connected in the B line. The line current is measured as
A. If the wattmeter W1 reads zero, the reading on W2 (in watts) is ____Log in to check the answer
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A 6½ digit timer-counter is set in the ‘time period’ mode of operation and the range is set as ‘ns’. For an input signal, the timer-counter displays 100000. With the same input signal, the timer-counter is changed to ‘frequency’ mode of operation and the range is set as ‘Hz’. The display will show the number ____
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The circuit shown uses ideal opamp powered from a supply
V. If the charge
generated by the piezoelectric sensor is of the form
μC, the peak detector output after 10 cycles of
(in volts, rounded off to one decimal place) is ____

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A metallic strain gauge of resistance
with a gauge factor of 2 is bonded to a structure made of a metal with modulus of elasticity of 200 GN/m
. The value of
is 1 kΩ when no stress is applied.
is a part of a quarter bridge with three identical fixed resistors of 1 kΩ each. The bridge is excited from a DC voltage of 4 V. The structure is subjected to a stress of 100 MN/m
. Magnitude of the output of the bridge (in mV, rounded off to two decimal places) is ____Log in to check the answer
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A laser beam of 10 mm beam diameter is focused onto an optical fibre using a thin biconvex lens as shown in the figure. The refractive index of the lens is 1.5. The refractive indices of the core and cladding of the fibre are 1.55 and 1.54 respectively. The minimum value of the focal length of the lens to attain the maximum coupling to the fibre (in mm, rounded off to one decimal place) is ____

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As shown in the figure, a slab of finite thickness
with refractive index
, has air (
) above and below it. Light of free space wavelength 600 nm is incident normally from air as shown. For a destructive interference to be observed at R, the minimum value of thickness of the slab
(in nm) is ____

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Consider the finite sequence
. The Inverse Discrete Fourier Transform (IDFT) of
is given as
. The value of
is ____Log in to check the answer
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A circuit consisting of capacitors, DC voltage source and an amplifier having a voltage gain
is shown in the figure. The effective capacitance across the nodes A and B (in μF, rounded off to one decimal place) is ____

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Consider the following state variable equations:
,
. The initial conditions are
and
. At
second, the value of
(rounded off to two decimal places) is ____Log in to check the answer
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