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In a vernier callipers, one main scale d...

In a vernier callipers, one main scale division is x cm and n divisions of the vernier scale coincide with (n-1) divisions of the main scale. The least count (in cm) of the callipers is :-

A

`(n-1)/(n)x`

B

`(nx)/((n-1))`

C

`(x)/(n)`

D

`(x)/((n-1))`

Text Solution

Verified by Experts

One main scale division , 1M.S.D.=xcm
One vernier scale division, `1V.S.D.=((n-1)x)/(n)`
Least count `=1 M.S.D.-1V.S.D.`
`=(nx-nx+x)/(n)=(x)/(n)cm`.
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