Anvils made of single crystals of diamond, with the shape as shown in Fig. 9.14, are used to investigate behaviour 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? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-9 Mechanical properties of Solids



Q.17:- Anvils made of single crystals of diamond, with the shape as shown in Fig. 9.14, are used to investigate behaviour 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?



 

Answer:-

Diameter of the cones at the narrow ends, d = 0.50 mm = 0.5 × 10–3 m
Radius, r = d/2  =  0.25 × 10-3 m
Compressional force, F = 50000 N
Pressure at the tip of the anvil:
P = Force / Area  =  50000 / π(0.25 × 10-3)2
= 2.55  × 1011 Pa
Therefore, the pressure at the tip of the anvil is 2.55 × 1011 Pa.