Anvils made of single crystals of diamond

CBSE Class 11 CBSE Class 11 Physics
,
1

Anvils made of single crystals of diamond, with the shape as shown in figure are used to investigate the behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.5 mm and the wide ends are subjected to a compressional force of 50000 N. What is the pressure at the tip of the anvil?

2

Given, compressional force, F = 50000N

Diameter, D = 0.5 mm = 5 x ${{10}^{-4}}$ m

Radius, r = D /2 = 2.5 x ${{10}^{-4}}$ m

Pressure at the tip of the anvil ยง = Force/Area

p= F/$\pi$ ${{r}^{2}}$ = 2.5 x ${{10}^{11}}$ Pa