GATE ME 2026 Set 1 — Question 33
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Metrology, CIM & Additive Mfg → Metrology & Inspection → Form & Surface Finish
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Question
A two-dimensional surface profile is obtained over a sampling length by using a contact type stylus profilometer as shown in the figure below. A line AA parallel to the general lay of the trace is considered. The true heights from AA to the peaks and valleys (in ) in the trace are also shown in the figure (not to scale).The ten-point height average in is
Correct answer
(A) 4.57
Solution
The ten-point height average () is calculated as the average distance between the five highest peaks and the five deepest valleys within the sampling length.
Top 5: 8.3, 6.9, 6.7, 6.3, 6.2
Sum of peaks () =
Deepest 5: 1.92, 1.97, 2.01, 2.81, 2.82
Sum of valleys () =
1.Identify the 5 highest peaks:
Peaks shown: 5.35, 6.7, 5.28, 8.3, 6.3, 6.9, 6.2, 5.54Top 5: 8.3, 6.9, 6.7, 6.3, 6.2
Sum of peaks () =
2.Identify the 5 deepest valleys (lowest values from AA):
Valleys shown: 2.81, 1.92, 3.71, 2.82, 4.2, 1.97, 2.01, 2.9, 4.26, 4.3Deepest 5: 1.92, 1.97, 2.01, 2.81, 2.82
Sum of valleys () =
3.Calculate :
Rounding to two decimal places, we get 4.57.Continue learning with Success Tracker
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