It is known that a thermometer is a first-order process. The transfer function of a thermometer is given as: 𝑌(&

[answerhappygod]

It is known that a thermometer is a first-order process. The
transfer function of a thermometer is given as:
𝑌(𝑠)/𝑈(𝑠)=1/𝜏𝑠+1
where 𝑌(𝑠) and 𝑈(𝑠) are the output (indicated
temperature) and input (surrounding temperature)
respectively, τ=mC/hA is the time constant,
where
𝑚= mass of thermometer
𝐶= heat capacity of thermometer
ℎ= heat transfer coefficient
𝐴= surface area of thermometer
Which of the following can make the indicated thermometer to
respond faster for a change in input?
I. Decrease the surface area of thermometer
II. Increase the surface area of thermometer
III. Decrease the mass of thermometer
IV. Increase the mass of thermomete