# One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n – 1)th

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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 is mm is :

$$A) { 10na\over (n-1)}$$

$$B) { (n-1)\over (10n)}a$$

$$C) { 10a\over (n-1)}$$

$$D) { 10a\over n}$$

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The correct answer is option D) $$10a\over n$$