At which temperature is the specific heat of water minimum (in $^\circ C$)?

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

Why is water used in a rubber bag for fomentation on the body?

$A$ lead bullet of mass $10 \ g$ travelling at $300 \ m/s$ strikes against a block of wood and comes to rest. Assuming $50\%$ of heat is absorbed by the bullet, the increase in its temperature is (Specific heat of lead $= 150 \ J/kg \cdot ^{\circ}C$) (in $^{\circ}C$)

The thermal capacity of $100 \,g$ of aluminum (specific heat $= 0.2 \,cal / g ^{\circ} C$) is ............ $cal / ^{\circ} C$.

$A$ 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: