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If n^(th) division of main scale coincid...

If `n^(th)` division of main scale coincides with `(n + 1)^(th)` divisions of vernier scale. Given one main scale division is equal to 'a' units. Find the least count of the vernier.

Text Solution

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(n+1) division of Vernier scale =n division of scale
`:.` one Vernier division `=(n)/(n+1)`main scale division.
Least count =1M.S.D.-1V.D=(1)/(n+1)M.S.D=(a)/(n+1)1
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Knowledge Check

  • In a vernier callipers n divisions of its main scale match with (n+5) divisions on its vernier scale. Each division of the main scale is of x unit. Using the vernier principle, find the least count.

    A
    `x/(n+5)`
    B
    `(2x)/(n+5)`
    C
    `(5x)/(n+5)`
    D
    `(7x)/(n+5)`