Q1. Hooke’s law states that within the elastic limit:

1. Stress is constant
2. Stress is proportional to strain
3. Strain is zero
4. Stress equals strain

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Answer: B. Stress is proportional to strain

Within the elastic limit, stress ∝ strain (σ = E·ε).

Q2. The constant of proportionality for axial loading in Hooke’s law is:

1. Modulus of rigidity
2. Young’s modulus (E)
3. Bulk modulus
4. Poisson’s ratio

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Answer: B. Young’s modulus (E)

For direct (axial) stress, σ = Eε where E is Young’s modulus.

Q3. The unit of Young’s modulus is:

1. Dimensionless
2. Pascal (N/m²)
3. Newton
4. m³

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Answer: B. Pascal (N/m²)

Young’s modulus has the same units as stress (since strain is dimensionless): N/m² or Pa.

Q4. Hooke’s law is valid up to the:

1. Fracture point
2. Proportional limit
3. Ultimate stress
4. Necking point

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Answer: B. Proportional limit

Stress is proportional to strain only up to the proportional limit.

Q5. Modulus of rigidity (G) relates:

1. Normal stress and normal strain
2. Shear stress and shear strain
3. Pressure and volumetric strain
4. Stress and temperature

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Answer: B. Shear stress and shear strain

G = shear stress / shear strain (τ/γ).

Q6. Bulk modulus (K) relates:

1. Shear stress and strain
2. Volumetric stress and volumetric strain
3. Axial stress and lateral strain
4. Bending stress and curvature

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Answer: B. Volumetric stress and volumetric strain

K = volumetric (hydrostatic) stress / volumetric strain.

Q7. The relation between E, G and Poisson’s ratio ν is:

1. E = 2G(1+ν)
2. E = G(1−ν)
3. E = 3G
4. E = G/2

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Answer: A. E = 2G(1+ν)

E = 2G(1 + ν).

Q8. The relation between E, K and ν is:

1. E = 3K(1−2ν)
2. E = 2K(1+ν)
3. E = K(1−ν)
4. E = 3K

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Answer: A. E = 3K(1−2ν)

E = 3K(1 − 2ν).