The figure below shows the variation of specific heat capacity $(C)$ of a solid as a function of temperature $(T)$. The temperature is increased continuously from $0$ to $500 \ K$ at a constant rate. Ignoring any volume change, the following statement$(s)$ is (are) correct to a reasonable approximation.$Image$
$(A)$ the rate at which heat is absorbed in the range $0-100 \ K$ varies linearly with temperature $T$.
$(B)$ heat absorbed in increasing the temperature from $0-100 \ K$ is less than the heat required for increasing the temperature from $400-500 \ K$.
$(C)$ there is no change in the rate of heat absorbtion in the range $400-500 \ K$.
$(D)$ the rate of heat absorption increases in the range $200-300 \ K$.