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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

A screw gauge with a pitch of 0.5mm and a circular scale with 50...

A screw gauge with a pitch of 0.5mm\text{0.5}mm and a circular scale with 5050 divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th{45}^{th} division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5mm\text{0.5}mm and the 25th{25}^{th} division coincides with the main scale line?

Options

  1. A0.700.70 mm
  2. B0.500.50 mm
  3. C0.750.75 mm
  4. D0.800.80 mm

Correct answer

D. 0.800.80 mm

Step-by-step solution

LC=0.550=0.01mmLC = \dfrac{0.5}{50} = 0.01mm

Zero error =0.50−0.45=−0.05= 0.50 - 0.45 = - 0.05

Thickness =(0.5+25×0.01)+0.05= \left(0.5 + 25 \times 0.01\right) + 0.05

=0.50+0.25+0.05= 0.50 + 0.25 + 0.05

=0.80mm= 0.80mm
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