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GATE 2021 MN – Question 50

Mining Geology, Mine Development and Surveying · Mine Surveying · 2 marks · Numerical answer

A 1:1000 old mine plan measures 802 cm² by planimeter. An original 10 cm line has shrunk to 9.8 cm. Find true ground area in m², to the nearest integer.

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Correct answer: 83450 to 83550

Explanation

Correct the measured plan area by the square of the linear shrinkage factor:(10/9.8)². At 1:1000, 1 cm² represents 100 m². Ground area is 802×(10/9.8)²×100≈83506.87 m², rounding to 83507. A single linear correction is insufficient for area.

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