When the force applied and the displacement of the body are inclined at 90º with each other, then work done isA infinite B maximum C unity D zero

1. Break Down the Problem

To determine the work done when the force and displacement are at an angle of 90º, we need to analyze how to calculate work done using the formula $W = F \cdot d \cdot \cos(\theta)$, where:

• $W$ is the work done,
• $F$ is the force applied,
• $d$ is the displacement,
• $\theta$ is the angle between the force and displacement.

2. Relevant Concepts

The cosine of the angle between two vectors plays a crucial role in calculating work done:

• When $\theta = 90^\circ$, $\cos(90^\circ) = 0$.

3. Analysis and Detail

Using the work done formula: $W = F \cdot d \cdot \cos(90^\circ)$ Substituting in the value for cosine: $W = F \cdot d \cdot 0 = 0$ This indicates that when the force and displacement are perpendicular, no work is done.

4. Verify and Summarize

The calculation shows that regardless of the magnitude of the force or displacement, the fact that they are at a 90º angle means $W = 0$. Thus, the work done in this scenario is confirmed to be zero.

Final Answer

D: zero