Final answer:
The medication applied is likely an external analgesic or counterirritant containing common ingredients like menthol, camphor, or capsaicin, which may cause tingling and burning sensations as part of their pain-relieving action.
Step-by-step explanation:
If your skin is tingling and even burning after your father rubbed a liquid on your back, the medication is likely an external analgesic or counterirritant. These types of treatments are designed to provide temporary relief from pain through a topical application that creates a heating or cooling sensation on the skin. Substances like menthol, camphor, and capsaicin are common ingredients in such topical pain relievers and may cause the sensations you're experiencing. While the tingling and burning can be normal for these types of treatments, if the sensation is too intense or causes a great deal of discomfort, you should wash the area with cool water and soap. If severe irritation or an allergic reaction occurs, it is important to seek medical advice promptly.