STATEMENT -1 : Amorphous solids are isotropic
STATEMENT -2 : Amorphous solids lack a regular three-dimensional arrangement of atoms.

Options

A. If both the statement are TRUE and STATEMENT -2 is the correct explanation of STATEMENT -1
B. If both the statement are TRUE and STATEMENT -2 is NOT the correct explanation of STATEMENT -1
C. If STATEMENT -1 is the correcct and TRUE and STATEMENT -2 is FALSE
D. If STATEMENT -1 is the correcct and FALSE and STATEMENT -2 is TRUE

Answer

To analyze the two statements regarding amorphous solids, we can break down the solution into clear steps:

### Step 1: Understand Statement 1
- **Statement 1**: "Amorphous solids are isotropic."
- **Definition of Isotropic**: Isotropic materials have physical properties that are the same in all directions. This means that if you measure a property (like density, refractive index, etc.) at different orientations, the values will be consistent.

### Step 2: Understand Statement 2
- **Statement 2**: "Amorphous solids lack a regular three-dimensional arrangement of atoms."
- **Characteristics of Amorphous Solids**: Amorphous solids do not have a long-range order in their atomic structure. Instead, they have a short-range order, meaning that while there may be some local organization, there is no repeating pattern that extends throughout the material.

### Step 3: Analyze the Relationship Between the Statements
- The lack of a regular three-dimensional arrangement of atoms in amorphous solids leads to their isotropic nature. Since the atomic arrangement is not uniform, the physical properties measured in different directions do not vary, confirming that amorphous solids are isotropic.

### Step 4: Conclusion
- Both statements are true:
- Statement 1 is true: Amorphous solids are indeed isotropic.
- Statement 2 is true and explains Statement 1: The lack of a regular three-dimensional arrangement of atoms in amorphous solids accounts for their isotropic properties.

### Final Answer
- Both statements are true, and Statement 2 is the correct explanation of Statement 1. Therefore, the correct option is A.

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