The side of a cube is measured by vernier callipers ( 10 divisions of a vernier scale coincide with

Question

The side of a cube is measured by vernier callipers ( 10 divisions of a vernier scale coincide with 9 divisions of main scale, where 1 division of main scale is 1 mm ). The main scale reads 10 mm and first division of vernier scale coincides with the main scale. Mass of the cube is 2.736 g . Find the density of the cube in appropriate significant figures.\

Professor PC Thomas Classes · Answer

For vernier callipers, Least count $=1$ M.S.D. -1 V.S.D.\ $=1 \mathrm{~mm}-\frac{9}{10} \mathrm{~mm}=\frac{1}{10} \mathrm{~mm}=0.1 \mathrm{~mm}$\ Side of cube $=10 \mathrm{~mm}+1 	imes 0.1 \mathrm{~mm}$\ $=10.1 \mathrm{~mm}=1.01 \mathrm{~cm}$\ Density $=\frac{	ext { Mass }}{	ext { Volume }}=\frac{2.736}{(1.01)^{3}}=2.66 \mathrm{~g} \mathrm{~cm}^{-3}$.\