In a vernier callipers if each centimetre of the main scale is divided into q equal parts and p vernier scale divisions coincide with `(p-1)` main scale divisions, then what will be the be the least count?

Options

A. `((n-1)/(n))x`
B. `(nx)/((n-1))`
C. `(x)/(n) `
D. `(x)/((n-1))`

Answer

C

Explanation

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.