Which of the following types of orders would necessitate a protective order?

The requirement for a protective order is most closely associated with situations that involve privacy concerns or that impose an undue burden on a party. In this context, an order that "unnecessarily invades privacy or is burdensome" clearly falls under the need for a protective order. Protective orders are designed to safeguard parties from discovery requests or court orders that could compromise their privacy rights or place an unreasonable demand on their time, resources, or emotional well-being.

When an order negatively affects a party's privacy or adds an undue burden, it triggers the need for a protective order. The law recognizes that it is essential to balance the need for information against the potential harm or stress that might arise from intrusive or excessively demanding orders. Therefore, the correct answer highlights the circumstances that warrant the protective measures that a court can issue under procedural rules.