Question

If the number of divisons on the vernier scale ofa standard vernier calliper is N, then N is always equal to (N- 1) main scale divisions. Would the vernier calliper be rendered useless if N is equal to fewer number of main scale divisions, for example N = ( N-3) M.S.D.? Why? How would the least count calculations be modified?

Answer 1

(i) What is least count?
Should the value of least count be large or small/
Will the accuracy of the venier calipers be increased by decreasing the value of the least count?
The least count, L.C.=`(1 M.S.D.)/(N)=1 M.S.D-1`
V.S.D.
Given the principle pf vernier os N V.S.D.=(N-1) M.S.D.
This implies that, 1 V.S.D. =`((N-1)/(N))` M.S.D.
On substituting(2) in(1) , find the value of L.C.
Consider, if N V.S.D. = (N-3) M.S.D.
`rArr 1 V. S.D. =`((N-1)/(N))` M.S.D
Substituting (3) in (1), find the value of L.C. In which case is the L.C. is teh least?