A : Amorphous solids are isotropic.
R : Amorphous solids are not rigid.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false then mark (3)
D. If both Assertion and Reason are false statements, then mark (4)

Answer

To analyze the statements given in the question, we will evaluate both the assertion (A) and the reason (R) to determine their validity and relationship.

### Step-by-Step Solution:

1. **Understanding Amorphous Solids**:
- Amorphous solids are characterized by a lack of long-range order in the arrangement of their particles. Unlike crystalline solids, which have a well-defined geometric structure, the particles in amorphous solids are arranged randomly.

**Hint**: Recall the difference between crystalline and amorphous solids in terms of particle arrangement.

2. **Isotropic Nature of Amorphous Solids**:
- The assertion (A) states that "Amorphous solids are isotropic." This is true because isotropic materials have the same physical properties in all directions. Since the particles in amorphous solids are randomly distributed, the properties such as refractive index, thermal conductivity, etc., do not vary with direction.

**Hint**: Think about how the random arrangement of particles affects the measurement of physical properties.

3. **Rigidity of Amorphous Solids**:
- The reason (R) states that "Amorphous solids are not rigid." This is also true. Amorphous solids like glass can deform under stress and do not have a fixed shape. They can break or bend more easily compared to crystalline solids, which are typically more rigid due to their structured arrangement.

**Hint**: Consider how the lack of long-range order impacts the mechanical properties of a solid.

4. **Evaluating the Relationship**:
- The assertion (A) is true, and the reason (R) is also true. However, the reason does not explain the assertion. The isotropic nature of amorphous solids is due to their random particle arrangement, while their lack of rigidity is a separate characteristic that does not directly relate to their isotropic properties.

**Hint**: Analyze whether the reason provided supports or explains the assertion made.

5. **Conclusion**:
- Since both statements are true but the reason does not support the assertion, the correct answer would be that A is true and R is true, but R is not the correct explanation for A.

**Final Answer**: A is true, R is true, but R is not the correct explanation for A.