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 &nbs

Q: 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 &nbs

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

Question

A cubical solid aluminum bulk &#160; modulus = - V d P d V = 70 &#160; GPa  block has an edge length of  1 &#160; m on the surface of the earth. It is kept on the floor of a 5 &#160; km &nbs

Accepted Answer

B = P - d V V &#160; &#8658; d V V = - P B &#160; &#8658; 3 d &#8467; &#8467; = P B d &#8467; = - P B &#8467; 3 = 10 3 kg m 3 &#215; 10 &#160; m s 2 &#215; 5 &#215; 10 3 70 &#215; 10 9 &#215; 1 &#160; m 3 d &#8467; = 0 . 238 &#215; 10 - 3 &#8658; d &#8467; = 0 . 238 &#160; mm = 0 . 24

Mechanical Properties of Solids — Previous Year Questions & Solutions