Work is defined as the product of force and the distance over which the force is applied, specifically when that distance is in the direction of the force. The formula for work (W) is given by:
\[ W = F \times d \times \cos(\theta) \]
where:
- \( W \) is the work done,
- \( F \) is the force applied,
- \( d \) is the distance moved in the direction of the force, and
- \( \theta \) is the angle between the force and the direction of movement.
In this case, even though the person applies a force of 500 newtons against the wall, the wall does not move, meaning the distance \( d \) is 0 meters. Since work is done only when there is movement in the direction of the force, the work done is:
\[ W = 500 , \text{N} \times 0 , \text{m} \times \cos(0^\circ) = 0 , \text{j joules} \]
Therefore, the correct answer is 0 joules.