Vernier Caliper

Question

In a vernier caliper, 1 cm on the main scale is divided into 20 equal parts. If 25 divisions on the vernier scale coincide with 24 divisions on the main scale, what is the least count?

RankGuru · Accepted Answer

1. **Main Scale Division ($1MSD$)**: $1 	ext{ cm}$ is divided into 20 parts.
   - $1MSD = 1/20 = 0.05$ cm.
2. **Vernier Scale Division ($1VSD$)**: $25VSD = 24MSD$.
   - $1VSD = (24/25)MSD$.
3. **Least Count Formula**: $LC = 1MSD - 1VSD$.
4. **Calculation**:
   - $LC = 1MSD - (24/25)MSD = (1/25)MSD$.
   - $LC = 0.05 / 25$.
5. **Result**: $LC = 0.002$ cm.

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