GATE IN topic:process-control PYQs & Answers — Page 49 — Exam Papers

Questions 481–490 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 49 of 65

A 3 × 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is ______.

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In the circuit shown below, maximum power is transferred to the load resistance

, when

______ Ω.

Diagram for Instrumentation Engineering question 17

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Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, and all source voltages are scaled up by a factor 10, the power dissipated in the circuit scales up by a factor of ______ .

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In the circuit shown below, initially the switch S₁ is open, the capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After S₁ is closed, the charge on C2 in steady state is ______ coulomb.

Diagram for Instrumentation Engineering question 19

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An 8-bit weighted resistor digital-to-analog converter (DAC) has the smallest resistance of 500

. The largest resistance has a value ______ k

.

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The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is ______.

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The figure below shows the

full-adder block of a binary adder circuit. Cᵢ is the input carry and Cᵢ₊₁ is the output carry of the circuit. Assume that each logic gate has a delay of 2 nanosecond, with no additional time delay due to the interconnecting wires. If the inputs Aᵢ, Bᵢ are available and stable throughout the carry propagation, the maximum time taken for an input Cᵢ to produce a steady-state output Cᵢ₊₁ is ______ nanosecond.

Diagram for Instrumentation Engineering question 22

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The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.2 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current measurements are independent, the standard deviation of the calculated resistance value is ______

.

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A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m³. If the pressure difference measured by the tube is 200 N/m², the velocity of the fluid, assuming the pitot-tube coefficient to be 1.0, is ______ m/s.

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A signal

modulates a carrier

using the double-sideband-with-carrier (DSBWC) scheme to yield a modulated signal

. The modulation index is ______. (Answer should be rounded off to one decimal place)

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