Final answer:
Beaker 3 and Beaker 1 will reach the same final temperature when the same amount of heat is added because heat transfer is not dependent on the mass when specific heat capacity is constant.
Step-by-step explanation:
Comparing beaker 3 with a mass of 50g and beaker 1 with a mass of 25g, both with an initial temperature of 20 degrees Celsius and receiving the same amount of heat 'q', we can determine their temperature change based on heat transfer and specific heat capacity concepts. The correct statement is Option 3: Beaker 3 and Beaker 1 will have the same final temperature because they have the same initial temperature and heat 'q'. This conclusion can be drawn from the fact that provided the specific heat capacities of the substances in the beakers are the same, the amount of heat added ('q') will raise the temperature by the same amount regardless of the mass. Double the mass does not mean double the temperature increase; it simply means there's more substance to heat, which will result in the same temperature rise as a smaller mass when the same amount of heat is applied.