JEE Main · 2019 · 09 Jan 2019 · Shift 2 · Units & Measurement

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The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the mean line.
The readings of the main scale and the circular scale for a thin sheet, are 5.5 mm and 48 respectively, the thickness of this sheet is
  1. (A)5.755 mm
  2. (B)5.950 mm
  3. (C)5.725 mm✓ Correct
  4. (D)5.740 mm

Answer: (C)

Solution

The least count is . With the gauge closed the circular-scale zero sits divisions below the reference line, a positive zero error of that must be subtracted. The raw reading of the sheet is , so the true thickness is .

JEE Main · 2019 · 09 Jan 2019 · Shift 2 · Single correct option

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