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JEE Main 2022 · 30 Jun · Shift 1, Physics question 32

If n main scale divisions coincide with (n+1)(n+1) vernier scale divisions. The least count of vernier callipers, when each centimetre on the main scale is divided into five equal parts, will be :

Choose one option
Answer and worked solution

Official answer: A

Divisions. 1 MSD =2=2 mm and nn MSD =(n+1)=(n+1) VSD, so 1 VSD =2nn+1=\frac{2n}{n+1} mm.

Least count 2−2nn+1=2n+12-\frac{2n}{n+1}=\frac2{n+1} mm.

(A)