"Normal" is an interesting word - I don't know if anything having to do with back pain is normal. That being said - get an MRI if the pain continues. X-rays only show bone (which wold rule out a break). With a fall like that you need an MRI which shows both bone and soft tissue so you can see if there are any problems with the discs.
a guy that goes to my physical therapist had a fall similar to yours. he also landed on his right side. he had an mri and found he had a herniated disc and sacroilitis (inflammation in your sacroiliac joints). he says advil really helps his pain.
