For the following statement :
(a) Glass is more elastic than rubber
(b) Rubber is more elastic than glass
(c) Steel is more elastic than rubber
(d) Rubber is more elastic than steel

Options

A. (a) and (b) are correct
B. (a) and (c) are correct
C. (b) and (c) are correct
D. (b) and (d) are correct

Answer

To solve the problem, we need to analyze the statements regarding the elasticity of glass, rubber, and steel based on the concept of Young's modulus. Here's a step-by-step breakdown:

### Step 1: Understand Elasticity and Young's Modulus
Elasticity in materials is quantified by Young's modulus (Y), which is defined as the ratio of stress (force per unit area) to strain (deformation per unit length). A higher Young's modulus indicates a stiffer material that deforms less under the same stress.

### Step 2: Analyze Statement (a)
**Statement (a): Glass is more elastic than rubber.**
- To compare the elasticity of glass and rubber, we need to compare their Young's moduli.
- Glass typically has a higher Young's modulus than rubber, meaning it is stiffer and deforms less under stress.
- Therefore, **Statement (a) is correct**.

### Step 3: Analyze Statement (b)
**Statement (b): Rubber is more elastic than glass.**
- This statement contradicts our analysis of Statement (a).
- Since we established that glass has a higher Young's modulus than rubber, **Statement (b) is incorrect**.

### Step 4: Analyze Statement (c)
**Statement (c): Steel is more elastic than rubber.**
- Steel generally has a much higher Young's modulus compared to rubber.
- This means that under the same stress, steel will deform less than rubber.
- Therefore, **Statement (c) is correct**.

### Step 5: Analyze Statement (d)
**Statement (d): Rubber is more elastic than steel.**
- This statement contradicts our analysis of Statement (c).
- Since steel has a higher Young's modulus than rubber, **Statement (d) is incorrect**.

### Conclusion
Based on the analysis:
- **Correct Statements**: (a) Glass is more elastic than rubber, (c) Steel is more elastic than rubber.
- **Incorrect Statements**: (b) Rubber is more elastic than glass, (d) Rubber is more elastic than steel.

Thus, the correct options are A and C.

### Final Answer
The correct statements are A and C.

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