Question

The main scale of a vernier callipers has n divisions/cm. nd ivisions of the vernier scale coincide with n-1 divisions of main scale.the least count of the vernier callipers is: a) 1/(n+1) (n-1) cm b) 1/n cm c) 1/n^2 cm d) 1/n(n+1) cm

Answer 1

Answer:

A vernier callipers has its main scale graduated in mm and 10 divisions on its vernier scale are equal in length to 9 mm. When the two jaws are in contact. the zero of vernier scale is ahead of zero of main scale and 3rd division of vernier scale coincides with a main scale division. The least count is 10−xcm.

Answer 2

Answer:

Given, N Vernier Scale Divisions(VSD)=(N−1)Main Scale Divisions(MSD)

1 VSD=(

N

N−1

)MSD

L.C= Least count =1MSD−1VSD

L.C=(1−

N

N−1

)MSD

=

N

1

MSD=

N

0.1

cm=

10N

1

cm