Question

BEN
If (B + 1) divisions on vernier scale of vernier
callipers coincide with B divisions on main scale.
The value of one main scale division is a then
least count of the vernier callipers, is​

Answer 1

Answer:

The Given Information implies that,

(B+1) VSD = B MSD

But, 1 MSD = a

So,

1 VSD = (B/B+1)a

And,

Least count = 1 MSD - 1 VSD

= a-(B/B+1)a

= a(1-B/B+1) = a/B+1 units.