1. If smallest division on the main scale of Verneir Calliperes 0.05cm and number of division
on the Vernier scale is 25. the LC of Vernier Callipers is ......
a) 0.0002 cm
b) 0.002 cm c) 0.001cm d) 0.01cm
Answers
Answer:
option b is correct
Explanation:
least count of vernier =
minimum no. of div on main scale÷
total no. of division on vernier scale
= 0.05/25 = 0.002 cm
Given: smallest division on the main scale of Vernier Callipers = 0.05cm
number of divisions on the Vernier scale = 25
main scale reading (MSR)= 24
To Find: Least count -LC =?
Solution:
The least count is the smallest accurate measured value measured on an instrument's scale.
Formula used: 25 divisions on Vernier scale reading coincide with 24 divisions of the main scale divisions (MSD).
24 MSD = 25 VSD
1 VSD = 24/25 MSD
LC = (1MSD - 1VSD) × smallest division on main scale of Vernier scale
LC = [1 - 24/25] × 0.05
LC = [25 -24/25] × 0.5
LC = 1/25 × 0.5
LC = 1/50
LC = 0.02 cm
If 0.05mm is the smallest division on the main scale of Vernier Callipers, then LC = 0.002cm