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physics ncert solutions class 11th Physics Class 11th Mechanical Properties of Solids

9.17 Anvils made of single crystals of diamond, with the shape as shown in Fig. 9.14, are used to investigate behavior of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?

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Vishal Baghel | Contributor-Level 10

5 months ago

Diameter of the cone at the narrow end, d = 0.5 mm = 0.5 $\times 10^{- 3}$ m

Radius, r = d/2 = 0.25 $\times 10^{- 3}$ m

Area, A = $π \times r^{2}$ = 1.96 $\times 10^{- 7}$ $m^{2}$

Compressional force, F = 50000 N

Pressure at the tip of the anvil, p = F/A = 50000/1.96 $\times 10^{- 7}$ Pa = 2.54 $\times 10^{11}$ Pa

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