Assertion: It is difficult to move a heavy box by sliding whereas it becomes easier to move the same box when rollers are placed under it.
Reason: `F_("rolling")ltF_("sliding")ltF_("limitting static")`
(Rolling friction lt Sliding friction lt limmiting static friction.

Options

A. If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
B. If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
C. If Assertion is Trie but the Reason is False.
D. If both Assertion `&` Reason are false

Explanation

To solve the given question, we need to analyze the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that it is difficult to move a heavy box by sliding, but it becomes easier when rollers are placed under it. This implies that the frictional force opposing the motion is less when using rollers compared to sliding directly on the surface.

### Step 2: Understand the Reason
The reason given is that rolling friction is less than sliding friction, which in turn is less than limiting static friction. This can be expressed as:
\[ F_{\text{rolling}} < F_{\text{sliding}} < F_{\text{limiting static}} \]

### Step 3: Analyze Friction Types
1. **Limiting Static Friction**: This is the maximum frictional force that must be overcome to start moving an object at rest. It is generally the highest among the three types of friction.
2. **Sliding Friction**: This is the frictional force acting on an object that is sliding over a surface. It is less than limiting static friction but greater than rolling friction.
3. **Rolling Friction**: This is the frictional force that opposes the motion of a rolling object. It is the least among the three types of friction.

### Step 4: Conclusion
Since rolling friction is the least, it is easier to move a heavy box when rollers are placed under it compared to sliding it directly on a surface. Therefore, both the assertion and the reason are true, and the reason correctly explains the assertion.

### Final Answer
Both the assertion and reason are true, and the reason is the correct explanation for the assertion.