Assertion: If a body moves on a straight line, magnitude of its displacement and distance covered by it will be same.
Reason: Along the straight line body can move only in one direction.

Options

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

Answer

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

### Step 1: Understand the Assertion
The assertion states that if a body moves on a straight line, the magnitude of its displacement and the distance covered by it will be the same.

**Explanation:**
- Displacement is defined as the shortest distance from the initial position to the final position in a specific direction. It is a vector quantity.
- Distance is the total length of the path traveled by the body, irrespective of direction. It is a scalar quantity.

### Step 2: Analyze the Example
Let's consider a body moving along a straight line:
- Initial position (x_initial) = 0 meters
- Final position (x_final) = -2 meters

**Calculating Displacement:**
- Displacement = x_final - x_initial = -2 - 0 = -2 meters (magnitude = 2 meters)

**Calculating Distance:**
- If the body moves from 0 to 2 meters and then back to -2 meters, the distance covered is:
- From 0 to 2 meters = 2 meters
- From 2 meters to -2 meters = 4 meters
- Total distance = 2 + 4 = 6 meters

### Step 3: Compare Magnitude of Displacement and Distance
From the example:
- Magnitude of Displacement = 2 meters
- Distance Covered = 6 meters

This shows that the assertion is false because the magnitude of displacement (2 meters) is not equal to the distance covered (6 meters).

### Step 4: Understand the Reason
The reason states that along a straight line, a body can move only in one direction.

**Explanation:**
- This statement is misleading. A body can move in both directions along a straight line (e.g., positive and negative directions).
- In our example, the body moved from 0 to 2 meters (one direction) and then back to -2 meters (the opposite direction).

### Step 5: Conclusion
Both the assertion and the reason are false:
- The assertion is false because the magnitude of displacement and distance covered are not always the same.
- The reason is false because a body can move in both directions along a straight line.

### Final Answer:
Both the assertion and the reason are false.

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