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Question: N division on the main scale of a verniercalipers coincide with (N + 1) divisions of the vernier sca...

N division on the main scale of a verniercalipers coincide with (N + 1) divisions of the vernier scale. If each division of main scale is x unit, then least count of the instrument is –

A

(a) xN\frac { \mathrm { x } } { \mathrm { N } }

A

(b) x

A

(c) xN+1\frac { \mathrm { x } } { \mathrm { N } + 1 }

A

(d) (NN+1)x\left( \frac { \mathrm { N } } { \mathrm { N } + 1 } \right) \mathrm { x }

Explanation

Solution

(c)

Sol. LC = 1MSDN+1\frac { 1 \mathrm { MSD } } { \mathrm { N } + 1 } = xN+1\frac { \mathrm { x } } { \mathrm { N } + 1 }