Q33 / 92 · NTA Abhyas (JEE Main) 2020 · Physics · Units and Dimensions

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of -0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions, in line with the main scale, as 35. The diameter of the wire is

  • Correct answer
    A
    3.38 mm
  • B
    3.32 mm
  • C
    3.73 mm
  • D
    3.67 mm

Solution

Least count of the screw gauge,

                   =0.5 mm50=0.01 mm

Main scale reading =3 mm

Vernier scale reading=35

∴   Observed reading =3+0.35=3.35 mm
Zero error=-0.03 mm

∴   Actual diameter of the wire=3.35--0.03=3.38 mm

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

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