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Units and Measurement
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The main scale of a vernier calliper has n divisions/cm. n divisions of the vernier scale coincide with (n-1) divisions of main scale. The least count of the vernier calliper is,$n\ VSD=(n-1)\ MSD \Rightarrow 1\ VSD=\frac{n-1}{n}$ MSD. LC $=1\ MSD-1\ VSD=\frac{1}{n}$ MSD $=\frac{1}{n}\times\frac{1}{n}$ cm $=\frac{1}{n^2}$ cm.
