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The main scale of a vernier callipers has n divisions/cm. n divisions of the vernier scale coincide with (n – 1) divisions of main scale. The least count of the vernier callipers is,

a
1n(n+1)cm
b
1(n+1)(n-1)cm
c
1n cm
d
1n2 cm

detailed solution

Correct option is D

VSD = (n – 1) MSD1VSD=(n-1)nMSD L.C. =1MSD-1VSD=1MSD-(n-1)nMSD=1nMSD=1n×1ncm=1n2cm

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