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JEE Advanced Physics Mechanical Properties of Solids 2020 JEE Advanced 2020 (Paper 2)

JEE Advanced Physics Question (2020) — Solution

Question

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 ________.

Options

  1. A. A
  2. B. B
  3. C. C
  4. D. D

Answer

A. A

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

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