These questions consists of two statements each printed as Assertion and Reason. While answering these question you are required to choose any one of the following five reponses
(a) If both Assertion and Reason arecorrect and Reason is the correct explanation of Asserrtion.
(b) If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
(c ) If Assertion is true but Reason is false.
(d) If Assertion is false but Reason is true.
Assertion . Work done by constant force is equal to magnitude of force multiplied by displacement.
Reason. Work done is scalar quantity. If may be positive, negative or zero.

Explanation

To solve the given problem, we need to analyze both the Assertion and the Reason statements provided.

### Step 1: Analyze the Assertion
The assertion states: "Work done by constant force is equal to magnitude of force multiplied by displacement."

- The formula for work done (W) by a constant force (F) acting on an object that moves a displacement (s) is given by:
\[ W = F \cdot s \cdot \cos(\theta) \]
where \(\theta\) is the angle between the force and the direction of displacement.

- If the force is applied in the same direction as the displacement, then \(\theta = 0\) and \(\cos(0) = 1\). Thus, the work done is:
\[ W = F \cdot s \]
- However, if the force is not in the same direction as the displacement, the work done is not simply the product of force and displacement. Therefore, the assertion is **not universally true**.

### Conclusion for Step 1:
The assertion is **false** because it does not account for the angle between the force and the displacement.

### Step 2: Analyze the Reason
The reason states: "Work done is a scalar quantity. It may be positive, negative, or zero."

- Work done is indeed a scalar quantity. It can be positive when the force and displacement are in the same direction, zero when the force is perpendicular to the displacement, and negative when the force is in the opposite direction to the displacement.

### Conclusion for Step 2:
The reason is **true** as it accurately describes the nature of work done.

### Final Conclusion:
Since the assertion is false and the reason is true, the correct response is:
**(d) If Assertion is false but Reason is true.**

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