Instrumentation Engineering
GATE IN format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 241–250 of 270. Imported answers require independent review unless marked reviewed.
Question 55
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A multi-mode optical fiber with a large core diameter has a core refractive index n₁ = 1.5 and cladding refractive index n₂ = 1.4142. The maximum value of θₐ (in degrees) for which the incident light from air will be guided in the optical fiber is ±_____.

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If v is a non-zero vector of dimension
, then the matrix
has a rank = ________Log in to check the answer
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A series R-L-C circuit is excited with a 50 V, 50 Hz sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor (
) is ______ V.

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A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at Node-1 is
V, then the voltage at Node-2 is ______ V.

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A periodic signal
is shown in the figure. The fundamental frequency of the signal
in Hz is ______.

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The differential amplifier, shown in the figure, has a differential gain of
and common mode gain of
. If
V and
V, then
, in volt (up to one decimal place) is ______.

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The figure shows a phase locked loop. The output frequency is locked at
kHz. The value of
in kHz is ______.

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The angle between two vectors
and
in radian is __________.Log in to check the answer
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The current response of a series R-L circuit to a unit step voltage is given in the table. The value of L is __________ H.
in s | 0 | 0.25 | 0.5 | 0.75 | 1.0 | … | |
|---|---|---|---|---|---|---|---|
in A | 0 | 0.197 | 0.316 | 0.388 | 0.432 | … | 0.5 |
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For the circuit, shown in the figure, the total real power delivered by the source to the loads is __________ kW.

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