NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Mechanical Properties of Solids
NEET · Physics · Mechanical Properties of Solids
Read the following statements regarding the elastic properties of...
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.
Statement IV: Poisson's ratio is defined as the ratio of longitudinal strain to lateral strain.
How many of the given statements are correct?
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.
Statement IV: Poisson's ratio is defined as the ratio of longitudinal strain to lateral strain.
How many of the given statements are correct?
Options
- AOnly one
- BOnly two
- COnly three
- 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 ().
Statement IV is incorrect: Poisson's ratio is defined as the ratio of lateral strain to longitudinal strain, not the other way around.
Therefore, exactly three statements are correct.
Answer: Only three
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 ().
Statement IV is incorrect: Poisson's ratio is defined as the ratio of lateral strain to longitudinal strain, not the other way around.
Therefore, exactly three statements are correct.
Answer: Only three