The Vernicr scale of a travelling microscope has 50 divisions which coincides with 49 main scale divisions. If each main scale division is 0.5 ~mm , then the least count of the microscope is

Step-by-step solution

Given, reading of 1 main scale division aligned & =0.5 ~mm & i.e. 1 MSD =0.5 ~mm & According to given situation, & 50 vernier scale division =49 main scale division & 1 vernier scale division (VSD) & = 49 50 main scale division (MSD) & Least count =1 MSD -1 VSD & =1 MSD - 49 50 MSD = 1 50 MSD & = 1 50 0.5=0.01 ~mm & aligned