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 The work done in bringing a body down from the top to the base along a frictionless inclined plane is the same as the work done in bringing it down from the vertical side.
Reason The gravitational force on the body along the inclined plane is the same as that along the vertical side.

Explanation

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

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the work done in bringing a body down from the top to the base along a frictionless inclined plane is the same as the work done in bringing it down from the vertical side.
- To analyze this, we need to consider the work done against gravity in both cases.

2. **Calculating Work Done on the Inclined Plane**:
- When a body is moved down a frictionless inclined plane from a height \( h \), the work done \( W_1 \) can be calculated as:
\[ W_1 = mgh \]
- Here, \( m \) is the mass of the body, \( g \) is the acceleration due to gravity, and \( h \) is the vertical height.

3. **Calculating Work Done on the Vertical Side**:
- When the same body is brought down vertically from the same height \( h \), the work done \( W_2 \) is also:
\[ W_2 = mgh \]

4. **Comparing Work Done**:
- Since both \( W_1 \) and \( W_2 \) equal \( mgh \), we conclude that:
\[ W_1 = W_2 \]
- Therefore, the assertion is **true**.

5. **Understanding the Reason**:
- The reason states that the gravitational force on the body along the inclined plane is the same as that along the vertical side.
- On the inclined plane, the component of gravitational force acting along the incline is \( mg \sin \theta \), where \( \theta \) is the angle of inclination.
- The gravitational force acting vertically downward is \( mg \).
- Since \( mg \sin \theta \) is not equal to \( mg \) (unless \( \theta = 0 \)), the reason is **false**.

6. **Conclusion**:
- The assertion is true, and the reason is false. Therefore, the correct option is:
**(c) If Assertion is true but Reason is false.**