# Bulk Modulus MCQ – Strength of Materials

1. Bulk modulus is defined as the ratio of

1. Direct stress to direct strain
2. Direct stress to shear strain
3. Direct stress to lateral strain
4. Direct stress to volumetric strain

2. What would be the value of Bulk modulus for a material which has Young’s modulus = 1.2 × 105 N/mm2 and modulus of Rigidity = 4.8 × 104 N/mm2?

1. 4 × 104 N/mm2
2. 2 × 104 N/mm2
3. 6 × 104 N/mm2
4. 8 × 104 N/mm2

3. The Bulk modulus (K) of a material having Young’s Modulus (E) = 200 GPa and Modulus of Rigidity (G) = 80 GPa is

1. 133.3 GPa
2. 233.3 GPa
3. 160 GPa
4. 250 GPa

4. If for a given material, E = 2G (E is modulus of elasticity, G is the shear modulus), then the bulk modulus K will be

1. E/2
2. E/3
3. E
4. E/4

5. If the bulk modulus of Brass is 110 GPa and its Poisson’s ratio is 0.30, then the elastic modulus (in GPa) of this material is

1. 33
2. 367
3. 222
4. 132

6. 1 N/mm2 is equal to

1. 1 Pa
2. 1 MPa
3. 1 GPa
4. 1 KPa

7. When a round bar material with diameter of 37.5 mm, length of 2.4 m, Young’s modulus of 110 GN/m2 and shear modulus of 42 GN/m2 is stretched for 2.5 mm, its Bulk modulus will be nearly

1. 96 GN/m2
2. 104 GN/m2
3. 76 GN/m2
4. 84 GN/m2

8. If E, G, K and μ represent the elastic modulus, shear modulus, bulk modulus and Poisson’s ratio respectively of a linear elastic, isotropic and homogeneous material, and if you need to express the stress-strain relationships completely for this material, at least

1. All the four must be known
2. E, G and μ must be known
3. E, K and μ must be known
4. Any two of the four must be known

9. A glass rod having an elastic modulus of 90 GPa and Poisson’s ratio of 0.2 will have its bulk modulus (in GPa)

1. 108
2. 50
3. 270
4. 100

10. Which of the following expression gives the correct relationship between Young’s modulus (E), Bulk modulus (K) and Poisson’s ratio (μ)?

1. E = 3K(1 – 2μ)
2. K = 3E (1 – 2μ)
3. K = 3E(1 – μ)
4. E = 3K (1 – μ)