$A$ metal cube absorbs $2100.0 \ J$ of heat when its temperature is raised by $2^{\circ} C$. If the specific heat of the metal is $900 \ J \ kg^{-1} K^{-1}$, then the mass of the cube is (in $kg$)

$A$ small electric heater is used to heat $200 \,g$ of water. The time required to bring all this water from $40^{\circ} C$ to $100^{\circ} C$ is $200 \,s$. If the specific heat of the water is $4200 \,J \,kg^{-1} \,K^{-1}$, then the power supplied by the heater is: (in $\,W$)

What is the value of the specific heat of a solid by using the law of equipartition of energy?

The specific heat $C$ of a solid at low temperature shows temperature dependence according to the relation $C = D T^{3}$, where $D$ is a constant and $T$ is the temperature in Kelvin. $A$ piece of this solid of mass $m \ kg$ is taken and its temperature is raised from $20 \ K$ to $30 \ K$. The amount of heat required in the process in energy units is

If some heat is given to a metal of mass $100 \ g$,its temperature rises by $20^{\circ} C$. If the same heat is given to $20 \ g$ of water,the change in its temperature (in $^{\circ} C$) is (The ratio of specific heat capacities of metal and water is $1: 10$).

$A$ solid of $2 \,kg$ mass absorbs $50 \,kJ$ when its temperature is raised from $20^{\circ} C$ to $70^{\circ} C$. The specific heat capacity of this solid in units of $J / kg^{\circ} C$ is