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Q#1 Dynamic Behaviour of First and Second Order Systems GATE CH 2023 MCQ +1 mark -0.33 marks

A liquid surge tank has \(F_{in}\) and \(F_{out}\)as the inlet and outlet flow rates respectively, as shown in the figure below. Fout is proportional to the square root of the liquid level h. The cross-sectional area of the tank is 20 cm². Density of the liquid is constant everywhere in the system. At steady state, \(F_{in} = F_{out} = 10cm^3s^{-1}\) and h = 16 cm. The variation of h with \(F_{in}\)is approximated as a first order transfer function. Which one of the following is the CORRECT value of the time constant (in seconds) of this system? In

                                          .

20

32

64

128

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