One main scale division of a vernier caliper is equal to m units. If m ^ th division of main scale coincides with (n+1)^ th division of vernier scale, the least count of the vernier caliper is:

Step-by-step solution

Given 1 Main scale division = m n M S D=( n +1) VSD 1 VSD = n n +1 MSD Least count of vernier caliper =1 MSD -1 VSD L . C=m-m ( n n+1 )= (1- n n+1 ) m=m ( n+1-n n+1 )= ( 1 n+1 ) m L C= ( m n+1 )