How to find the least count vernier callipers and how to find the value of 1main scale division

Dear student ,
Least count is the minimum measurement that can be made by a measuring device.
Least count of a vernier caliper = minimum measurement on main scale / total number of divisions on vernier scale. Let's derive this:
Least count (L.C) of vernier calipers is the minimum length or thickness measurable with the
Least count (L.C) =1 M.S.D -1 V.S.D
L.C = 1 M.S.D - N-1N*M.S.DSince the V.S.D is N-1N times the main scale division
L.C=1 M.S.D1-N-1NL.C=1 M.S.DN=SN
Where S is the value of 1 Main scale division and N is the number of equal divisions on the vernier scale.
Smaller is the magnitude of least count of a measuring instrument. more precise the measuring .

Now for the reading of main scale first let us discuss the main scale  .  there are two scale in the vernier calipers 
from these two the main scale is one which doesn't move and whose measurement is known to the observer . Like mainly an mm scale is used as main scale , so its measurements we know how to take . where the vernier's zero mark coincides with the main scale , this measurement on main scale is called main scale division .

Regards

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