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Q1. If a material has a high shear modulus, what does it indicate about the material? (2023)
Solution:
A high shear modulus indicates that the material resists shear deformation.
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Q2. What is the Poisson's ratio for a material that experiences a lateral strain of 0.02 when subjected to a longitudinal strain of 0.01? (2023)
Solution:
Poisson's ratio (ν) = Lateral strain / Longitudinal strain = 0.02 / 0.01 = 2.
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Q3. What happens to the shear modulus if the shear stress is doubled while keeping the shear strain constant? (2019)
Solution:
Shear modulus (G) is defined as shear stress divided by shear strain. If shear strain is constant, doubling shear stress does not change G.
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Q4. A wire of length L and diameter d is stretched by a force F. What is the expression for the elongation of the wire? (2020)
Solution:
Elongation (ΔL) = (F * L) / (A * Y), where A is the cross-sectional area and Y is Young's modulus.
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Q5. What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.002 m³ for a volume of 1 m³? (2022)
Solution:
Bulk modulus (K) = -ΔP / (ΔV/V) = -50 MPa / (-0.002 m³ / 1 m³) = 25000 MPa = 25 GPa.
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Q6. Which of the following is true about brittle materials? (2023)
Solution:
Brittle materials fracture without significant plastic deformation.
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Q7. If the length of a wire is doubled while keeping the diameter constant, what happens to its resistance? (2019)
Solution:
Resistance (R) is directly proportional to length (L). If length is doubled, resistance also doubles.
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Q8. What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.01 m³ for a volume of 1 m³? (2022)
Solution:
Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / (0.01 m³ / 1 m³) = 100000 kPa.
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Q9. Which of the following materials has the highest tensile strength? (2020)
Solution:
Steel has the highest tensile strength among the given materials.
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Q10. What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)
Solution:
Bulk modulus (K) = -ΔP / (ΔV/V) = 50 MPa / (0.02 m³ / 1 m³) = 2500 MPa.
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