Solve this:
Q. A student is using a sextant having a Vernier scale. 18 divisions of the main scale of the sextant coincide with 20 divisions of the Vernier scale. If the smallest division on the main scale is 0.1o, then what is the least count of the instrument?
A. 0.01o
B. 0.05o
C. 0.1o
D. 0.5o
Dear Student,
Least Count (LC) = 1 main scale division (MSD) - 1 vernier scale division (VSD)
1 MSD = 0.1o (given)
20VSD = 18MSD
1VSD = (18/20)MSD
Least Count (LC) = 1 main scale division (MSD) - 1 vernier scale division (VSD)
1 MSD = 0.1o (given)
20VSD = 18MSD
1VSD = (18/20)MSD