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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

Two full turns of the circular scale of a screw gauge cover a...

Two full turns of the circular scale of a screw gauge cover a distance of 11 mm on its main scale. The total number of divisions on the circular scale is 5050. Further, it is found that the screw gauge has a zero error of −0.03mm- 0.03mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 33 mm and the number of circular scale divisions, in line with the main scale, as 3535. The diameter of the wire is

Options

  1. A3.38mm\text{3.38}mm
  2. B3.32mm\text{3.32}mm
  3. C3.73mm\text{3.73}mm
  4. D3.67mm\text{3.67}mm

Correct answer

A. 3.38mm\text{3.38}mm

Step-by-step solution

Least count of the screw gauge,

& & & & & & =0.5mm50=0.01mm= \dfrac{0.5 mm}{50} = \text{0.01}mm

Main scale reading =3mm= 3mm

Vernier scale reading=35= 35

∴∴ Observed reading =3+0.35=3.35 mm= 3 + \text{0.35} = \text{3.35 mm}
Zero error=-0.03mm= \text{-0.03}mm

∴∴ Actual diameter of the wire=3.35−(−0.03)=3.38mm= \text{3.35} - \left(- \text{0.03}\right) = \text{3.38}mm
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