Final answer:
The nurse is expected to check for pain relief at around 0900, which is 30 minutes after the administration of intravenous morphine, to observe its peak effect.
Step-by-step explanation:
The nurse administered intravenous morphine to the patient at 0830. The onset of action for intravenous morphine is usually rapid, within 5 to 10 minutes, and its peak effect typically occurs within 20 minutes to an hour after administration. Therefore, the nurse would likely assess the patient's pain relief at around 0900, which is 30 minutes after the administration to evaluate the peak effect of the medication and to ensure effective pain management.