The main scale of a vernier calliper has n divisions/cm. n divisions of the vernier scale coincide with (n-1) divisions of main scale. The least count of the vernier callipers is

Step-by-step solution

As it is given that n divisions of vernier scale coincide with (n-1) divisions of main scale i.e. aligned & n ( VSD )=( n - l ) MSD & IVSD = ( n - l ) n MSD & aligned The least count is the difference between one main scale division (MSD) and one vernier scale division (VSD). aligned & Least Count ( LC )=1 MSD -1 lVSD & =1 MSD - ( n - l ) n MSD & = (1- ( n - l ) n ) MSD = 1 n MSD & Here, 1 MSD = 1 n cm & LC = l n l n cm = l n ^2 ~cm & aligned