NEET Physics: Mechanical Properties of Solids — Practice Set 13 (10 MCQs)

NEET Physics: Mechanical Properties of Solids — Practice Set 13

Q1. A glass slab of volume \( 0.02 \, \text{m}^3 \) is subjected to a hydraulic pressure of \( 5 \times 10^6 \, \text{N/m}^2 \). If the bulk modulus of glass is \( 3.7 \times 10^{10} \, \text{N/m}^2 \), what is the fractional change in volume?

A. \( 1.35 \times 10^{-4} \)
B. \( 2 \times 10^{-4} \)
C. \( 1 \times 10^{-4} \)
D. \( 1.5 \times 10^{-4} \)

Q2. What is the key difference between elastic and plastic deformation in a material?

A. Elastic deformation occurs only in solids
B. Plastic deformation occurs at lower stress
C. Elastic deformation involves higher energy
D. Elastic deformation is reversible, plastic is not

Q3. Why do materials like steel require a significantly larger force to produce small deformations compared to materials like rubber?

A. Due to lower shear modulus
B. Due to higher density
C. Due to larger Young’s modulus
D. Due to greater ductility

Q4. A water sample of volume \( 1.5 \, \text{litres} \) is compressed by a pressure of \( 3 \times 10^6 \, \text{N/m}^2 \). If the bulk modulus of water is \( 2.2 \times 10^9 \, \text{N/m}^2 \), what is the change in volume?

A. \( 2 \times 10^{-6} \, \text{m}^3 \)
B. \( 2.04 \times 10^{-6} \, \text{m}^3 \)
C. \( 2.5 \times 10^{-6} \, \text{m}^3 \)
D. \( 1.5 \times 10^{-6} \, \text{m}^3 \)

Q5. A copper wire of length \( 1.8 \, \text{m} \) and cross-sectional area \( 3 \times 10^{-6} \, \text{m}^2 \) is stretched by a force producing a strain of \( 3 \times 10^{-4} \). If the Young's modulus of copper is \( 1.1 \times 10^{11} \, \text{N/m}^2 \), what is the stress?

A. \( 3 \times 10^7 \, \text{N/m}^2 \)
B. \( 3.3 \times 10^7 \, \text{N/m}^2 \)
C. \( 3.5 \times 10^7 \, \text{N/m}^2 \)
D. \( 2.5 \times 10^7 \, \text{N/m}^2 \)

Q6. A steel wire of length \( 2.0 \, \text{m} \) and cross-sectional area \( 3 \times 10^{-6} \, \text{m}^2 \) is stretched by \( 0.4 \, \text{mm} \). If the Young's modulus of steel is \( 2 \times 10^{11} \, \text{N/m}^2 \), what is the force applied?

A. \( 100 \, \text{N} \)
B. \( 150 \, \text{N} \)
C. \( 120 \, \text{N} \)
D. \( 130 \, \text{N} \)

Q7. A glass slab of volume \( 0.03 \, \text{m}^3 \) is subjected to a hydraulic pressure of \( 5 \times 10^6 \, \text{N/m}^2 \). If the bulk modulus of glass is \( 3.7 \times 10^{10} \, \text{N/m}^2 \), what is the change in volume?

A. \( 4 \times 10^{-6} \, \text{m}^3 \)
B. \( 4.05 \times 10^{-6} \, \text{m}^3 \)
C. \( 4.5 \times 10^{-6} \, \text{m}^3 \)
D. \( 3.5 \times 10^{-6} \, \text{m}^3 \)

Q8. A steel wire of length \( 2.8 \, \text{m} \) and cross-sectional area \( 4 \times 10^{-6} \, \text{m}^2 \) is stretched by a force producing a strain of \( 1.5 \times 10^{-4} \). If the Young's modulus of steel is \( 2 \times 10^{11} \, \text{N/m}^2 \), what is the elongation?

A. \( 0.4 \, \text{mm} \)
B. \( 0.42 \, \text{mm} \)
C. \( 0.5 \, \text{mm} \)
D. \( 0.3 \, \text{mm} \)

Q9. A steel rod of length 1 m and cross-sectional area 1 × 10 -5 m 2 is subjected to a tensile force of 1000 N. If the Young's modulus of steel is 2 × 10 11 N/m 2 , what is the strain produced?

A. 5 × 10 -4
B. 1 × 10 -3
C. 2.5 × 10 -4
D. 7.5 × 10 -4

Q10. A water sample of volume 2 litres is compressed by a pressure of 2 × 10 6 N/m 2 . If the bulk modulus of water is 2.2 × 10 9 N/m 2 , what is the fractional change in volume?

A. 8 × 10 -4
B. 1 × 10 -3
C. 9.09 × 10 -4
D. 7 × 10 -4

Physics — Mechanical Properties of Solids

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A glass slab of volume \( 0.02 \, \text{m}^3 \) is subjected to a hydraulic pressure of \( 5 \times 10^6 \, \text{N/m}^2 \). If the bulk modulus of glass is \( 3.7 \times 10^{10} \, \text{N/m}^2 \), what is the fractional change in volume?

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