If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0 . 5 mm the Vernier constant of travelling microscope is:

Step-by-step solution

The number of divisions on the vernier scale = 50 Main scale division ( MSD ) = 0 . 5 mm As, 50 divisions on the vernier scale coincide with 49 divisions on the main scale, VSD = 49 50 MSD The minimum inaccuracy in the measurement of distance by a vernier scale, = Least count of the vernier scale = 1 MSD – 1 VSD = 1 MSD - 4 9 5 0 MSD = 1 5 0 MSD = 1 50 × 0 . 5 mm = 0 . 01 mm .