Thermal capacity of a body depends on

Give the $SI$ unit of heat capacity. Write the dimensional formula of heat capacity.

At temperatures close to $0\ K$, the heat capacity $C$ of a certain solid is related to its temperature $T$ by the equation $C = aT^3$, where $a$ is a constant characteristic of the solid. Heat is supplied to the solid at a steady rate. Which graph best represents the variation of its temperature $T$ with time $t$?

Why is water used as a coolant?

Which of the substances $A, B$,or $C$ has the highest specific heat? The temperature-time graph is shown.

$A$ current-carrying wire heats a metal rod. The wire provides a constant power $(P)$ to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature $(T)$ in the metal rod changes with time $(t)$ as:
$T(t) = T_0(1 + \beta t^{1/4})$
where $\beta$ is a constant with appropriate dimensions,while $T_0$ is a constant with the dimension of temperature. The heat capacity of the metal is: