JEE Advanced2020PhysicsMechanical Properties of SolidsActual
A cubical solid aluminum bulk modulus = - V d P d V = 70 GPa block has an edge length of 1 m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration due to gravity to be 10 3 kg m - 3 and 10 m s - 2 , respectively, the change in the edge length of the block in mm is ________.
Correct answer
0
Step-by-step solution
B = P - d V V   ⇒ d V V = - P B   ⇒ 3 d ℓ ℓ = P B d ℓ = - P B ℓ 3 = 10 3 kg m 3 × 10   m s 2 × 5 × 10 3 70 × 10 9 × 1   m 3 d ℓ = 0 . 238 × 10 - 3 ⇒ d ℓ = 0 . 238   mm = 0 . 24