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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

The correct Answer is:
C
One main scale division, 1 M.S.D = x cm
One vernier scale division, 1 V.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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