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One main scale division of a vernier cal...

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

A

`((n -1)/( 10 n)) a `

B

`(10 na )/((n -1))`

C

`(10 a )/( n )`

D

`(10 a )/(( n -1))`

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