The work done by a force is calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- \( \theta \) is the angle between the force and the direction of motion.
In this scenario, the person is pushing against the wall with a force of 500 newtons, but the wall does not move, which means the distance moved is 0 meters.
Since the distance is 0, the work done is:
\[ \text{Work} = 500 , \text{N} \times 0 , \text{m} = 0 , \text{joules} \]
Thus, the correct answer is 0 joules.