Assertion : Two identical solid balls, one of ivory and the other of wet-clay are dropped from the same height on the floor. Both the balls will rise to same height after bouncing.
Reason : Ivory and wet-clay have same elasticity.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.

Explanation

To solve the problem, we need to analyze the assertion and the reason provided:

### Step 1: Understand the Assertion
The assertion states that two identical solid balls, one made of ivory and the other of wet clay, are dropped from the same height and will rise to the same height after bouncing.

### Step 2: Analyze the Reason
The reason given is that ivory and wet clay have the same elasticity. Elasticity is the ability of a material to return to its original shape after deformation. Generally, different materials have different elastic properties.

### Step 3: Compare the Elasticity of the Materials
Ivory is known to be a highly elastic material, meaning it can regain its shape and bounce back effectively after deformation. Wet clay, on the other hand, is not very elastic; it tends to deform and does not return to its original shape as effectively as ivory.

### Step 4: Conclusion about the Assertion
Since the elasticity of ivory is greater than that of wet clay, when both balls are dropped from the same height, the ivory ball will bounce back to a greater height compared to the wet clay ball. Therefore, the assertion that both balls will rise to the same height after bouncing is incorrect.

### Step 5: Conclusion about the Reason
The reason provided is also incorrect because it states that ivory and wet clay have the same elasticity, which is not true. They have different elastic properties.

### Final Conclusion
Both the assertion and the reason are false. Thus, the correct answer is that both statements are incorrect.

### Summary of the Solution
1. The assertion is incorrect because the ivory ball will bounce higher than the wet clay ball.
2. The reason is incorrect because ivory and wet clay do not have the same elasticity.