Q66 / 90 · JEE Main 2021 (25 Feb Shift 1) · Physics

The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while 72nd  division on circular scale coincides with the reference line. The radius of the wire is

  • A
    1.64 mm
  • Correct answer
    B
    0.82 mm
  • C
    0.90 mm
  • D
    1.80 mm

Solution

Least count =1 mm100=0.01 mm

zero error =+8×LC=+0.08 mm

True reading (Diameter)

=1 mm+72×LC- (Zero error)

=1 mm+72×0.01 mm-0.08 mm

=1.72 mm-0.08 mm

=1.64 mm

therefore, radius =1.642=0.82 mm.

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

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