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The main scale of a Vernier Calliper has n division by centimetre. n division of vernier scale coincide with n -1 division of main scale. The least count of the Vernier Calliper is?
Most Upvoted Answer
The main scale of a Vernier Calliper has n division by centimetre. n d...
N VSD=(n-1)MSD
1VSD=(n-1)/n MSD
L.C=1MSD-1VSD
=1/n MSD
=1/n×(1/n)
L.C=1/n^2

Hope this will help you
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The main scale of a Vernier Calliper has n division by centimetre. n d...
Explanation of Least Count of Vernier Caliper:
The least count of a Vernier Caliper is the smallest measurement that can be read accurately on the instrument. It is calculated by dividing the smallest division on the main scale by the total number of divisions on the Vernier scale that coincide with one less division on the main scale.

Formula for Least Count:
The formula for calculating the least count of a Vernier Caliper is:
Least Count = (Smallest division on main scale) / (Total number of divisions on Vernier scale - 1)

Explanation of Formula:
- The main scale of the Vernier Caliper has n divisions per centimeter.
- The Vernier scale has n-1 divisions that coincide with n-1 divisions on the main scale.
- Therefore, the total number of divisions on the Vernier scale that coincide with one less division on the main scale is n-1.
- The smallest division on the main scale is 1/n cm.
- Plugging these values into the formula, we get the least count of the Vernier Caliper.

Example:
If the main scale has 10 divisions per centimeter, then n = 10.
Total number of divisions on Vernier scale = 10 - 1 = 9.
Smallest division on main scale = 1/10 cm = 0.1 cm.
Least Count = 0.1 cm / 9 = 0.0111 cm.

Conclusion:
In conclusion, the least count of a Vernier Caliper is calculated based on the number of divisions on the main scale and the Vernier scale. It is essential to understand this concept to make accurate measurements using the instrument.
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The main scale of a Vernier Calliper has n division by centimetre. n division of vernier scale coincide with n -1 division of main scale. The least count of the Vernier Calliper is?
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