a2/ A mercury thermometer having a time constant of 0.1 min is placed in a temperature bath at 100 OF and allowed to come to equilibrium with the bath. At time t = 0, the temperature of the bath begins to vary sinusoidally about its average temperature of 100 OF with an amplitude of 2 OF. If the frequency of oscillation is 10/n cycles/min, derive the ultimate response equation of the thermometer reading as a function of time. What is phase lag?

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