$A$ 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 $^{\circ}C$)

How much heat energy is gained when $5\, kg$ of water at $20^{\circ}C$ is brought to its boiling point? (Specific heat of water $= 4.2\, kJ\, kg^{-1} {^{\circ}C}^{-1}$)

$A$ substance is cooled at a constant power. Its temperature vs time graph is shown. The value of $S_{solid} : S_{liquid} : S_{gas}$ is:

$A$ $10\, kW$ 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 $= 0.91\, J\, g^{-1}\, K^{-1}$)

Heat energy at a constant rate is supplied to two substances $P$ and $Q$. If the variation of temperature $(T)$ of the substances with time $(t)$ is as shown in the figure,then select the correct statement.

The molar mass of a substance is $50 \, g/mol$. When $300 \, J$ of heat is supplied to a $25 \, g$ sample of this substance,its temperature increases from $30^{\circ}C$ to $50^{\circ}C$. The values of heat capacity and specific heat capacity are,respectively: