Final answer:
Heat will flow from Object B (hotter) to Object A (colder) until both objects reach thermal equilibrium, with a final temperature between 1 T and 2 T.
Step-by-step explanation:
When two objects with different temperatures are in contact, in this case Object A with a temperature of 1 T and Object B with a temperature of 2 T, the heat will flow from the hotter object (Object B) to the colder one (Object A) until thermal equilibrium is reached. At thermal equilibrium, both objects will have the same temperature, which will be somewhere between 1 T and 2 T, assuming no heat is lost to the surroundings. This process is consistent with the zeroth law of thermodynamics, which implies that if two systems are each in thermal equilibrium with a third system, they are in thermal equilibrium with each other.