Vernier caliper least count according to physics with formula

Theory :  Principle of vernier calipers – N divisions on the vernier scale is equal to (N-1) divisions on the main scale.

N V.S.D = (N-1) M.S.D

1 V.S.D =  M.S.D

Least count (L.C) of vernier calipers : Minimum length or thickness measurable with the vernier calipers is called its least count.

Least count (L.C) = 1 M.S.D – 1 V.S.D

L.C = 1 M.S.D –  M.S.D

L.C = 1 M.S.D [ 1-]

L.C =   = 

Where S is the value of  one Main scale division and N is the number of equal divisions on the vernier scale.

The least count of the vernier can be measured by using the formula stated below. 

Least count (L.C) = 1 M.S.D - 1 V.S.D
Example; 
vernier scale is constructed by taking 49 main scale divisions dividing them into 50 divisions

ie. 49mm divided into 50 parts

therfore

1 vsd=49/50 mm=0.98mm

1 MSD=1mm

Substituting in formula

L.C = 1 M.S.D - 1 V.S.D

L.C=1-0.98=0.02mm


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