Two different metal bodies $A$ and $B$ of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is :

A hammer of mass $1kg$ having speed of $50 \,m/s$, hit a iron nail of mass $200\, gm.$ If specific heat of iron is $0.105\, cal/gm°C$ and half the energy is converted into heat, the raise in temperature of nail is…….. $^oC$

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 :

$T ( t )= T _0\left(1+\beta t ^{1 / 4}\right)$

where $\beta$ is a constant with appropriate dimension while $T _0$ is a constant with dimension of temperature.

The heat capacity of the metal is :

The specific heat capacity of a substance is temperature dependent and is given by the formula $C=k T$, where $k$ is a constant of suitable dimensions in $SI$ units, and $T$ is the absolute temperature. If the heat required to raise the temperature of $1 \ kg$ of the substance from $-73^{\circ} C$ to $27^{\circ} C$ is $n k$, the value of $n$ is. . . . . .[Given: $0 K =-273^{\circ} C$.]

The height of a waterfall is $84$ metre. Assuming that the entire kinetic energy of falling water is converted into heat, the rise in temperature of the water will be  $(g = 9.8\,m/{s^2},\;J = 4.2\,joule/cal)$