The smallest division on main scale of a vernier callipers is 1 mm and 10 vernier divisions coincide

Question

The smallest division on main scale of a vernier callipers is 1 mm and 10 vernier divisions coincide with 9 scale divisions. While measuring the length of a line, the zero mark of the vernier scale lies between 10.2 cm and 10.3 cm and the third division of vernier scale coincide with a main scale division. The length of the line is\

Professor PC Thomas Classes · Answer

(a) : Least count (L.C) $ \ \begin{aligned} & =\frac{	ext { Smallest division on main scale }}{	ext { Number of divisions on vernier scale }} \ & =\frac{1}{10} \mathrm{~mm}=0.1 \mathrm{~mm}=0.01 \mathrm{~cm} \end{aligned} $ \ Length of the line $=(10.2+3 	imes 0.01) \mathrm{cm}=10.23 \mathrm{~cm}$