Q. Given below are two statements : Statement I : In a vernier callipers, one vernier scale division is always smaller than one main scale division. Statement II : The vernier constant is given by one main scale division multiplied by the number of vernier scale divisions. In the light of the above statements, choose the correct answer from the options given below.
A) Statement I is true but Statement II is false
B) Statement I is false but Statement II is true
C) Both Statement I and Statement II are false
D) Both Statement I and Statement II are true
Explanation
[Solution by Dr. Abubacker] Vernier constant $=\frac{1\ \mathrm{MSD}}{\text{number of VSDs}}$, a division and not a product, so Statement II is false. A vernier division can also be larger than a main scale division (e.g. 10 VSD = 11 MSD), so 'always smaller' in Statement I is false. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.