41.
A control system is unstable, if the open loop frequency response exhibits an amplitude ratio exceeding unity at the crossover frequency. This is __________ criterion.

43.
Which of the systems having following transfer functions is stable?

44.
For an input forcing function, X(t) = 2t2, the Laplace transform of this function is

47.
Working principle of mercury in glass thermometer is based on the __________ of mercury with increase in temperature.

48.
Find the ultimate gain and frequency for a proportional controller in the case of a process having the transfer function $${{\text{G}}_{\text{p}}}\left( {\text{s}} \right) = \frac{1}{{\left( {4{\text{s}} + 1} \right)\left( {2{\text{s}} + 1} \right)\left( {{\text{s}} + 1} \right)}}.$$

49.
Temperature measurement range of iron-constantan thermocouple is 0 to 870°C. It can be used to measure sub zero temperature, because at lower temperature

50.
A proportional controller with a gain of Kc is used to control a first order process. The offset will increase, if

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