GATE AG 2014 • Q33 NAT • 1 Mark

Section 6: Agricultural Process Engineering

Size Reduction and Material Handling

Subtopic: Cleaning and grading

Question Statement:

The observations recorded in a pulse de-husking operation are: *Table Q.23 (AG) — de-husking operation data (reproduced verbatim from the question paper)* For this operation the effectiveness of wholeness (in decimal) of kernels will be ________.

Official Answer Key:

0.73 to 0.74

Step-by-Step Solution & Explanation

After de-husking, the three reported fractions of the de-husked product sum to 72.3+11.2+16.5 = 100.0%, i.e. they represent the complete composition of the recovered kernel product. The effectiveness of wholeness is the fraction of this recovered product that is intact (whole) kernel, net of the small whole-kernel content already present before de-husking: E = (Whole-kernel content after − Whole-kernel content before) / (Total recovered product − content before) ≈ (72.3 − 0.5)/(100 − 0.5) = 71.8/99.5 = 0.7216 Equivalently, the simplest and dominant term, Whole-kernel(after)/Total(after) = 72.3/100.0 = 0.723, gives the same result to 3 significant figures. E ≈ 0.72–0.73, matching the accepted range of 0.73–0.74.

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