The centimeter scale on a vernier calliper is divided into eight equal parts . Ten vernier divisions are contained in one cm . Calculate vernier constant .

Q: The centimeter scale on a vernier calliper is divided into eight equal parts . Ten vernier divisions are contained in one cm . Calculate vernier constant .

(a) 0.1 cm

(b) 0.01 cm

(c) 0.025 cm

(d) 0.001 cm

Sol: 1 S.D = 1/8 cm .  Also , 10 V.D = 8 S.D

$\large 1 V.D = \frac{8}{10} S.D$

Vernier constant = 1 S.D – 1 V.D

$\large V.C = 1 S.D – \frac{8}{10} S.D $

$\large V.C  = \frac{1}{5} S.D = \frac{1}{5} \times \frac{1}{8} cm = \frac{1}{40} cm $

V.C = 0.025 cm