Show that the thermocouple reading T_(m) follows a second order dynamic behavior with respect to a change of surrounding fluid temperature. Is it an overdamped or underdamped response? Qualitatively plot the response of the thermocouple temperature as a function of time after a unit change in fluid temperature.

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Show that the thermocouple reading T_(m) follows a second order dynamic behavior with respect to a change of surrounding fluid temperature. Is it an overdamped or underdamped response?  Qualitatively plot the response of the thermocouple temperature as a function of time after a unit change in fluid temperature.

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