Is Rishab Dev and Sri Ram are of same dynasty
Yes. In Jain tradition, Rishabhanatha (Rishab Dev) is said to belong to the Ikshvaku (Suryavanshi) dynasty. Rama (Sri Ram), who is associated with the Solar dynasty in Hindu lore, is also described in Jain sources as part of the Ikshvaku lineage. So, both are linked to the same Ikshvaku/Suryavansha dynasty.
Note: Jain and Hindu traditions sometimes use different names and emphasize different figures, but the shared idea here is the Ikshvaku lineage for both.