To determine the correct sequence of thermal stability for the given carbonates, we consider the position of the respective elements in the periodic table and their properties.
Thermal Stability of Carbonates: The thermal stability of alkaline earth metal carbonates (group 2 carbonates) increases as we move down the group in the periodic table. This trend is due to the following reasoning:
Based on the above understanding, the correct sequence of thermal stability of the carbonates is:
${MgCO_3 < CaCO_3 < SrCO_3 < BaCO_3}$
Therefore, the correct option is B: ${MgCO_3 < CaCO_3 < SrCO_3 < BaCO_3}$.