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One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n – 1)th division of the main scale. The least count of the callipers in mm is :

(1) \(\frac{10\,na}{(n-1)}\)

(2) \(\frac{10a}{(n-1)}\)

(3) \((\frac{n-1}{10n})a\)

(4) \(\frac{10a}n\)

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