Option 1 states that the specific heat capacity of A is more than that of B. Specific heat capacity is the amount of heat required to raise the temperature of a substance by a certain amount. If A has a higher specific heat capacity, it means it requires more heat to increase its temperature. However, the question states that the same amount of heat is given to both A and B, so this option is incorrect.

Option 2 states that the specific heat capacity of A is less than that of B. This means that A requires less heat to increase its temperature compared to B. Since the temperature of A increases more than that of B when the same amount of heat is added, this option is correct. A requires less heat to increase its temperature, so it experiences a greater increase in temperature compared to B.

Option 3 states that both A and B have the same specific heat capacity, but A has a greater thermal conductivity. Thermal conductivity is the property of a material to conduct heat. The question does not provide any information about the thermal conductivity of A and B, so this option is not relevant.

Option 4 states that both A and B have the same specific heat capacity, but B has greater thermal conductivity. Similar to option 3, the question does not provide