What is work done when body will displaces perpendicular to the force ?

Options

A. zero
B. meximum
C. minimum
D. None of these

Answer

To solve the question "What is work done when a body displaces perpendicular to the force?", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Work Done**:
Work done (W) is defined as the dot product of the force (F) applied on an object and the displacement (S) of that object. Mathematically, it is expressed as:
\[ W = \vec{F} \cdot \vec{S} = |\vec{F}| |\vec{S}| \cos(\theta) \]
where \(\theta\) is the angle between the force and the displacement vectors.

2. **Identifying the Angle**:
In this case, the problem states that the displacement is perpendicular to the force. Therefore, the angle \(\theta\) between the force and the displacement is 90 degrees.

3. **Calculating the Cosine of the Angle**:
The cosine of 90 degrees is:
\[ \cos(90^\circ) = 0 \]

4. **Substituting into the Work Done Formula**:
Substituting the value of \(\cos(90^\circ)\) into the work done formula gives:
\[ W = |\vec{F}| |\vec{S}| \cdot 0 = 0 \]

5. **Conclusion**:
Therefore, when the displacement of a body is perpendicular to the force applied, the work done is:
\[ W = 0 \]

### Final Answer:
The work done when a body displaces perpendicular to the force is **0**.

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