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What is the correct formula for average wavelength to describe surface roughness? (Where, Ra is the arithmetic mean deviation from the mean line of profile)

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What is the correct formula for average wavelength to describe surface roughness? (Where, Ra is the arithmetic mean deviation from the mean line of profile)

(a) 2π x Ra / Mean slope

(b) 2π x Ra x Mean slope

(c) 2π / Ra x Mean slope

(d) 2π / Ra / Mean slope

The question was asked in an international level competition.

My doubt is from Terminology as per Indian Standards in division Measurement of Surface Finish of Engineering Metrology

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The correct answer is (a) 2π x Ra / Mean slope

Easy explanation: Rt is the maximum height of peak to valley within the assessment length. Rt measurement is valuable for providing guidance for planning metal-cutting operations and analysing finish. Average wavelength = 2π x Ra / Mean slope.

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