A body is placed on an inclined plane and has to be pushed down. The angle made by the normal reaction with the vertical will be:-

Options

A. Equal to angle of repose
B. Equal to the angle of friciton
C. Less than the angle of repose
D. More than the angle of friction

Explanation

To solve the problem of finding the angle made by the normal reaction with the vertical when a body is placed on an inclined plane and has to be pushed down, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Situation**:
- A body is on an inclined plane and is not sliding down. This means that the angle of inclination (θ) is less than the angle of repose (the maximum angle at which the body can remain at rest without sliding).

2. **Identifying Forces**:
- The forces acting on the body are:
- The gravitational force (mg) acting vertically downward.
- The normal force (N) acting perpendicular to the surface of the inclined plane.

3. **Analyzing the Angles**:
- The angle of inclination (θ) is the angle between the inclined plane and the horizontal.
- The normal force acts perpendicular to the surface of the inclined plane. Therefore, if we draw a vertical line from the ground, the angle between this vertical line and the normal force will also be θ.

4. **Finding the Angle with the Vertical**:
- Since the normal force is perpendicular to the inclined plane, and the angle of inclination is θ, the angle made by the normal reaction with the vertical is equal to the angle of inclination (θ).

5. **Conclusion**:
- Therefore, the angle made by the normal reaction with the vertical is θ.

### Final Answer:
The angle made by the normal reaction with the vertical is θ (the angle of inclination).

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