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GATE IN 2021 Question Paper (06-Feb-2021) (Shift 1)

Medium 65 Questions 180 min 100 marks

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Question No: 26Difficulty: mediumMarks: 1nat
A 300 V, 5 A, LPF wattmeter has a full scale of 300 W. The wattmeter can be used for loads supplied by 300 V ac mains with a maximum power factor of ___________ (rounded off to one decimal place).
Question No: 27Difficulty: mediumMarks: 1nat
A 10-bit ADC has a full-scale of 10.230 V, when the digital output is (11 1111 1111)₂. The quantization error of the ADC in millivolt is _________.
Question No: 28Difficulty: mediumMarks: 1nat
A strain gage having nominal resistance of 1000 Ω has a gage factor of 2.5. If the strain applied to the gage is 100 μm/m, its resistance in ohm will change to ____________ (rounded off to two decimal places).
Question No: 29Difficulty: mediumMarks: 1nat
Given: Density of mercury is 13,600 kg/m³ and acceleration due to gravity is 9.81 m/s². Atmospheric pressure is 101 kPa. In a mercury U-tube manometer, the difference between the heights of the liquid in the U-tube is 1 cm. The differential pressure being measured in pascal is ______ (rounded off to the nearest integer).
Question No: 30Difficulty: mediumMarks: 1nat
A piezoresistive pressure sensor has a sensitivity of 1 (mV/V)/kPa. The sensor is excited with a dc supply of 10 V and the output is read using a 3 1⁄2 digit 200 mV full-scale digital multimeter. The resolution of the measurement set-up, in pascal is ___.

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