The length of an object is measured using a vernier system whose main scale is 30 cm long with 600 divisions. If 19 divisions of the main scale coincide with 20 divisions of the vernier scale, then its least count is

Question

The length of an object is measured using a vernier system whose main scale is 30 cm long with 600 divisions. If 19 divisions of the main scale coincide with 20 divisions of the vernier scale, then its least count is, 0.25 c m, 0.025 c m, 0.35 c m, 0.025 m m

MARKS App · Accepted Answer

∵ Least count = MSD - VSD ∵ MSD = 30 100 600 = 5 × 10 - 4 m and VSD = 19 20 × MSD = 19 20 × 5 × 10 - 4 = 4 .75 × 10 - 4 ∴ Least count = 5 - 4 .75 × 10 - 4 = 0 .025 mm

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