A specially designed Vernier calliper has the main scale least count of 1   mm . On the Vernier scale, there are 10 equal divisions and they match with 11 main scale divisions. Then, the least count of the Vernier calliper is

Step-by-step solution

Here, 10 divisions of vernier scall = 11 main scale divisions So, 1 vernier scale division = 11 10 main scale divisions Now, we use formula for least count, Least count = 1 main scale division -1 vernier scale division. ⇒ L C = 1 M S D − 1 V S D = 1 − 11 10 M S D = − 1 10 M S D = − 1 10 × 1 m m = − 01 m m So, magnitude of least count is 0 . 1   mm .