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Which of the following is measuring head sensitivity with the variation of diameter (D) of measuring orifice?

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Which of the following is measuring head sensitivity with the variation of diameter (D) of measuring orifice?

(a) πD

(b) πDL

(c) πDL^2

(d) πD^2L

The question was posed to me in semester exam.

This intriguing question comes from Pneumatic Comparators topic in chapter Comparators of Engineering Metrology

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The correct answer is (a) πD

The explanation is: Measuring head sensitivity is represented by ‘dM/dL’. ‘M’ is the diameter of measuring orifice which is equal to πDL. By differentiating ‘M’w.r.t ‘L’ we get πD. Hence ‘dM/dL’ = πD.

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