If the modulus of elasticity for a given material is twice its modulus of rigidity, then bulk modulus is equal to

In an experiment, the bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poissons ratio of the material is ___________

A

1/7

B

2/7

C

3/7

D

4/7

If E, G and K denote Young’s modulus of elasticity, Modulus of rigidity and Bulk modulus, respectively, for an elastic material then which one of the following can be possibly true?

A

G = 2K

B

G = E

C

K = E

D

G = K = E

If E, N, K and $$\frac{1}{{\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

A

$${\text{E}} = 3{\text{K}}\left( {1 - \frac{2}{{\text{m}}}} \right)$$

B

$${\text{E}} = 2{\text{N}}\left( {1 + \frac{1}{{\text{m}}}} \right)$$

C

$$\frac{3}{2}{\text{K}}\left( {1 - \frac{2}{{\text{m}}}} \right) = {\text{N}}\left( {1 + \frac{1}{{\text{m}}}} \right)$$

D

All the above

Determine the Poissons ratio and bulk modulus of a material, for which Youngs modulus is 1.2 and modulus of rigidity is 4.8.

A

7

B

8

C

9

D

10

The Youngs modulus of elasticity of a material is 2.5 times its modulus of rigidity. Then what will be its Poissons ratio?

A

0.25

B

0.33

C

0.50

D

0.60

The modulus of rigidity and the modulus of elasticity of a material are 80 GPa and 200 GPa. What will be the Poissons ratio of the material?

A

0.25

B

0.30

C

0.40

D

0.50

Youngs modulus of elasticity and Poissons ratio of a material are 1.25 x 102 MPa and 0.34 respectively. The modulus of rigidity of the material is __________

A

0.9469 MPa

B

0.8375 MPa

C

0.4664 MPa

D

0.4025 MPa

What is the relationship between Youngs modulus E, modulus of rigidity C, and bulk modulus K?

A

E = 9KC / (3K + C)

B

E = 9KC / (9K + C)

C

E = 3KC / (3K + C)

D

E = 3KC / (9K + C)

What is the relationship between the linear elastic properties Youngs modulus, bulk modulus and rigidity modulus?

A

1/E = 9/k + 3/G

B

9/E = 3/K + 1/G

C

3/E = 9/K + 1/G

D

9/E = 1/K + 3/G

Consider the following statements.
1. The SI unit of young's modulus of elasticity is N/M².
2. The reciprocal of the bulk modulus of the material of the body is called the compressibility of that material.
3. Compressibility of gases is very small.
Which of the statements given above are correct?

A

1, 2 and 3

B

1 and 3

C

1 and 2

D

None of these

If the modulus of elasticity for a given material is twice its modulus of rigidity, then bulk modulus is equal to

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