The Vernier constant of Vernier callipers is 0 . 1mm and it has...

Vernier constant is the least count of the vernier $V . C = 0 . 1mm = 0 . 01cm$

zero error $= - 0 . 05cm$

$∴$correction$= 0 . 05cm$

$M . S . R . = 1 . 7cm$

$V . S . R . = 5V . C . = 5 \times 0 . 01 = 0 . 05cm$

The diameter of the sphere will be,

diameter$= MSR + VSR +$correction

$1 . 7 + 0 . 05 + 0 . 05 = 1 . 8cm$

$= 180 \times {10}^{- 2}cm$