Question

In a slide caliper, $(m+1)$ number of vernier divisions is equal to $m$ number of smallest main scale divisions. If $d$ units is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is:

• A. $\frac{d}{(m+1)}$ units
• B. $\frac{d}{m}$ units
• C. $\frac{md}{(m+1)}$ units
• D. $\frac{(m+1)d}{m}$ units

Answer 1

Answer: (A)

$\frac{d}{(m+1)}$ units

$(m+1)$ vernier division $=m$ main scale division
One division on vernier scale $=\left(\frac{m}{m+1}\right)$ division on main scale
Vernier constant $=(1-\frac{m}{m+1})d=\frac{d}{m+1}$