Final answer:
The two most popular instruments in Persian music are the santur and ney, with the santur being a hammered dulcimer and the ney being an end-blown flute.
Step-by-step explanation:
Among the various instruments that have been popular in Persian music, two stand out for their historical significance and widespread use. The santur, which is a hammered dulcimer, and the ney, which is a type of end-blown flute, are particularly notable. The santur consists of strings stretched over a trapezoidal sounding board and is played with mallets, producing a distinctive, ethereal sound. The ney, on the other hand, has a warm and soulful tone, making it suitable for expressive melodies. Both of these instruments hold a significant place in Persian classical and traditional music.