In a Vernier calipers, 10 vernier scale divisions equal 9 main-scale divisions and 1 MSD = 0.1 cm. With jaws closed, the vernier zero reads +0.1 cm. For an object, main-scale reading is 5.0 cm and the 8th vernier division coincides. Find the corrected diameter.
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Question

In a Vernier calipers, 10 vernier scale divisions equal 9 main-scale divisions and 1 MSD = 0.1 cm. With jaws closed, the vernier zero reads +0.1 cm. For an object, main-scale reading is 5.0 cm and the 8th vernier division coincides. Find the corrected diameter.

Options

G1 Physics · Accepted Answer

Step 1: One vernier division = (9/10) MSD = 0.09 cm. Step 2: Least count LC = 1 MSD − 1 VSD = 0.10 − 0.09 = 0.01 cm. Step 3: Observed reading = MSR + (coincident division) × LC = 5.00 + 8 × 0.01 = 5.08 cm. Step 4: The closed-jaw vernier zero is +0.10 cm, a positive zero error; zero correction = −0.10 cm. Step 5: Corrected reading = 5.08 − 0.10 = 4.98 cm. Final answer: 4.98 cm, Option C.