Maximum work will be done if the angle between force applied and displacement produced is

Options

A. zero
B. `45^(@)`
C. `90^(@)`
D. `180^(@)`

Explanation

To determine the angle at which maximum work is done when a force is applied to an object, we can use the formula for work done:

### Step-by-Step Solution:

1. **Understand the Work Done Formula**:
The work done (W) by a force (F) when it moves an object through a displacement (s) is given by the equation:
\[ W = F \cdot s = |F| |s| \cos \theta \]
where \( \theta \) is the angle between the force vector and the displacement vector.

2. **Identify the Condition for Maximum Work**:
To maximize the work done, we need to maximize the term \( \cos \theta \). The cosine function reaches its maximum value of 1 when \( \theta = 0^\circ \).

3. **Conclusion**:
Therefore, the maximum work will be done when the angle \( \theta \) between the force applied and the displacement produced is:
\[ \theta = 0^\circ \]

### Final Answer:
The maximum work will be done if the angle between the force applied and displacement produced is **0 degrees**.

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