No problem if it was one second as you claim. However, you should join
the imam and recite the Fatiha in few seconds, as this is possible.

I went to the masjid and intentionally waited about 1second so that the imam goes to ruku.when he went to ruku,I joined.I did this delay because I know that I cannot recite fatiha in 1second.Should I repeat the prayer?

Prayer |