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NEETPhysicsMechanical Properties of Solids

Read the following statements regarding the elastic properties of materials: Statement I: Young's modulus is defined as the ratio of tensile or compressive stress to the longitudinal strain. Statement II: Bulk modulus is defined as the ratio of hydraulic stress to the corresponding volumetric strain. Statement III: Compressibility is defined as the fractional decrease in volume per unit increase in pressure. Statemen

Options

  1. AOnly one
  2. BOnly two
  3. COnly three
  4. DAll four

Correct answer

C. Only three

Step-by-step solution

Statement I is correct: Young's modulus is the ratio of longitudinal (tensile or compressive) stress to longitudinal strain. Statement II is correct: Bulk modulus is the ratio of hydraulic stress to volumetric strain. Statement III is correct: Compressibility is the reciprocal of bulk modulus, which mathematically represents the fractional decrease in volume per unit increase in pressure ( k = - 1 P V V ). Statement IV is incorrect: Poisson's ratio is defined as the ratio of lateral strain to longitudinal strain, n

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