$A$ $10\, kW$ drilling machine is used to drill a bore in a small aluminium block of mass $8.0\, kg$. How much is the rise in temperature of the block in $2.5$ minutes,assuming $50\, \%$ of power is used up in heating the machine itself or lost to the surroundings? (Specific heat of aluminium $= 0.91\, J\, g^{-1}\, K^{-1}$)

Water of mass $5 \ kg$ in a closed vessel is at a temperature of $20^{\circ} C$. If the temperature of the water when heated for a time of $10 \ minutes$ becomes $30^{\circ} C$, then the increase in the internal energy of the water is (Specific heat capacity of water $= 4200 \ J \ kg^{-1} \ K^{-1}$) (in $kJ$)

Explain the heat capacity of a substance and write its equation and unit.

Two spheres are made of the same material and have a diameter ratio of $1 : 2$. The ratio of their heat capacities is equal to ......

Three bodies $A, B$ and $C$ of masses $m, m$ and $\sqrt{3}m$ respectively are supplied heat at a constant rate. The change in temperature $\theta$ versus time $t$ graph for $A, B$ and $C$ are shown by $I, II$ and $III$ respectively. If their specific heat capacities are $S_A, S_B$ and $S_C$ respectively,then which of the following relations is correct? (Initial temperature of body is $0\,^{\circ}C$)

On which factor does the required amount of heat depend to increase the temperature of a substance?