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A temperature-measuring instrument is modeled as a first-order system with a time constant of 5s. The sensor of the instrument is placed inside an oil bath whose temperature has a sinusoidal
variation with an amplitude of 10 0C and a period of 20s around an average temperature of 200 0C.
The sinusoidal component at the output of the instrument will have amplitude.
  • a)
    0 0C
  • b)
    5.37 0C
  • c)
    8.57 0C
  • d)
    10 0C
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A temperature-measuring instrument is modeled as a first-order system...
Output will trace the input, but there would be a real lag. Therefore, the amplitude will remain the same.
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A temperature-measuring instrument is modeled as a first-order system with a time constant of 5s. The sensor of the instrument is placed inside an oil bath whose temperature has a sinusoidalvariation with an amplitude of 10 0C and a period of 20s around an average temperature of 200 0C.The sinusoidal component at the output of the instrument will have amplitude.a)0 0Cb)5.37 0Cc)8.57 0Cd)10 0CCorrect answer is option 'D'. Can you explain this answer?
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A temperature-measuring instrument is modeled as a first-order system with a time constant of 5s. The sensor of the instrument is placed inside an oil bath whose temperature has a sinusoidalvariation with an amplitude of 10 0C and a period of 20s around an average temperature of 200 0C.The sinusoidal component at the output of the instrument will have amplitude.a)0 0Cb)5.37 0Cc)8.57 0Cd)10 0CCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A temperature-measuring instrument is modeled as a first-order system with a time constant of 5s. The sensor of the instrument is placed inside an oil bath whose temperature has a sinusoidalvariation with an amplitude of 10 0C and a period of 20s around an average temperature of 200 0C.The sinusoidal component at the output of the instrument will have amplitude.a)0 0Cb)5.37 0Cc)8.57 0Cd)10 0CCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A temperature-measuring instrument is modeled as a first-order system with a time constant of 5s. The sensor of the instrument is placed inside an oil bath whose temperature has a sinusoidalvariation with an amplitude of 10 0C and a period of 20s around an average temperature of 200 0C.The sinusoidal component at the output of the instrument will have amplitude.a)0 0Cb)5.37 0Cc)8.57 0Cd)10 0CCorrect answer is option 'D'. Can you explain this answer?.
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