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JEE Main 2023 (10 Apr, Shift 2) · Least Count, Vernier Callipers & Screw Gauge

Least Count, Vernier Callipers & Screw Gauge question from JEE Main 2023 (10 Apr, Shift 2)

Q28JEE Main 2023 · 10 APR · SHIFT 2Difficult

Least Count, Vernier Callipers & Screw Gauge

In an experiment with vernier callipers of least count 0.1 mm0.1\text{ mm}, when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6th division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between 3.2 cm3.2\text{ cm} and 3.3 cm3.3\text{ cm} marks, and 4th division of vernier scale coincides with the main scale division. The diameter of bob is measured as

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Answer: (a)

  1. Vernier zero right of main zero: zero error =+6×0.01=+0.06 cm= +6\times 0.01 = +0.06\text{ cm}
  2. Observed reading =3.2+4×0.01=3.24 cm= 3.2 + 4\times 0.01 = 3.24\text{ cm}
  3. Diameter =3.24−0.06=3.18 cm= 3.24 - 0.06 = 3.18\text{ cm}. So the answer is (a).
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