Answer: B
M80.051A is appropriate because it is used to code for the initial encounter to the current pathological fracture of the right leg due to age-related osteoporosis. This is the diagnosis in the patient.
Option A is not correct because M80.052A is used to code for osteoporosis induce pathological fracture in the left leg, but here, the fracture is in the right leg.
Option C is not correct because M80.041A is used to code for osteoporosis induced pathological fracture in the right hand. Here, a fracture is in the leg.
Option D is not correct because M80.042A is used for osteoporosis induced pathological fracture in the left hand. Here, a fracture is in the leg.