Q74 / 90 · JEE Main 2021 (26 Aug Shift 1) · Physics

In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation the reading on the main scale is 5 mm and the 20th  division of the circular scale coincides with reference line. Calculate the true reading.

  • A
    5.20 mm
  • B
    5.00 mm
  • Correct answer
    C
    5.15 mm
  • D
    5.25 mm

Solution

L.C. of screw Gauge=0.550=0.01 mm
Zero error of screw Gauge =5×L.C.=5×0.01=0.05 mm
Reading of screw gauge = main scale reading + circular scale reading ×L.C.-Zero error =5+20×0.01-0.05=5.15 mm

Hence, the correct answer is option: 'C'.

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