Civil Engineering - UPSC Civil Service Exam Questions - Discussion

Discussion Forum : UPSC Civil Service Exam Questions - Section 9 (Q.No. 17)
17.
Consider the following statements :
A : An isotropic material is always homogeneous.
R : An isotropic material is one in which all the properties are the same in all the directions
at every point.
Of these statements :
Both A and R are true and R is the correct explanation of A
Both A and R are true but R is not a correct explanation of A
A is true but R is false
A is false but R is true
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
2 comments Page 1 of 1.

Karan said:   5 years ago
Both statements are false.

No, Isotropic materials can be homogeneous, but they are not always this way.

An isotropic property means that the property behaves the same in all directions. Earth's gravity field is (mostly) isotropic. Its pull weakens, in the same way, the further away you get from it, no matter what direction you move away from it. It's not homogeneous, because it varies with the distance from its centre.

If you consider an ideal vacuum chamber, it would be both homogeneous and isotropic. It's homogeneous because it is uniformly devoid of any gas or matter. It's isotropic because its gas density is uniform in all directions.

Homogeneity implies isotropy, but not everything that is isotropic is homogeneous.

Isotropic Material - same physical property in all directions at a point.

Niteesh said:   5 years ago
Option D because brass is isotropic but not homogeneous.

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