Question

Find the least count of a vernier caliper whose 50 vernier scale divisions match with 49 main scale divisions?

Given: least count of main scale is 1 mm.

• A. 0.1 mm
• B. 0.02 mm
• C. 0.05 mm
• D. 0.001 mm

Answer 1

The correct option is B

0.02 mm

Since 50 vernier scale divisions match with 49 main scale divisions, vernier scale division is:
$1VSD=\frac{49\times 1mm}{50}$

Using the formula for least count,
$LC=1MSD-1VSD$
$LC=1mm-\frac{49}{50}mm$
$LC=0.02mm$