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QJEEAdv03Ph9b0d: JEE Advanced 2003 Physics - Class 11 JEEAdv03Ph9b0d Solution: If n th divisions of the main scale coincide with (n+1) th…

If nth divisions of the main scale coincide with (n+1)th divisions of vernier scale. Given one main scale division is equal to 'a' units. Find the least count of the vernier.

Step-by-Step Verified Solution

We know that (n + 1) divisions on the vernier scale = n division on the main scale

Therefore,

1 division on the vernier scale = (nn+1) divisions on the main scale = (nn+1)a units

Therefore, the least count (LC) of the vernier caliper is

1(MSD)−1(VSD)=a−(nn+1)a=an+1

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