Thermal Properties of Matter

A black coloured solid sphere of radius $R$ and mass $M$is inside a cavity with a vacuum inside. The walls of the cavity are maintained at temperature $T_{0}$. The initial temperature of the sphere is $3T_{0}$. If the…

The temperature $\theta\,$ at the junction of two insulating sheets, having thermal resistances $R_{1}$ and $R_{2}$ as well as top and bottom temperatures $\theta\,_{1}$ and $\theta\,_{2}$ (as shown in figure) is given…

A $2\mathrm{kg}$ steel rod of length $0.6m$ is clamped on a table vertically at its lower end and is free to rotate in the vertical plane. The upper end is pushed so that the rod falls under gravity. Ignoring the…

Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratio of lengths, radii and thermal conductivities of these rods are :…

Two materials having coefficients of thermal conductivity $3K$ and $K$ and thickness $d$ and $3\text{d}$ respectively, are joined to form a slab as shown in the figure. The temperatures of the outer surfaces are…

Three conductors of same length having thermal conductivity $\mathrm{k}_1, \mathrm{k}_2$ and $\mathrm{k}_3$ are connected as shown in figure. Area of cross sections of $1^{\text {st }}$ and $2^{\text {nd }}$ conductor…

In an experiment to verify Newton's law of cooling. a graph is plotted between. the temperature difference $\left(\Delta\,T\right)$ of the water and surroundings and time as shown in figure. The initial temperature of…

An ice cube of dimensions $60 \text{cm} \times 50 \text{cm} \times 20 \text{cm}$ is placed in an insulation box of wall thickness $1 \text{cm}$. The box keeping the ice cube at $0°C$ of temperature is brought to a room…

Two metallic wires of identical dimensions are connected is series. If $\sigma\,_{1}$ and $\sigma\,_{2}$ are the conductivities of the these wires respectively, the effective conductivity of the combination is :

If $K_{1}$and $K_{2}$ are the thermal conductivities $L_{1}$ and $L_{2}$ are the lengths and $A_{1}$ and $A_{2}$ are the cross sectional areas of steel and copper rods respectively such that…

Two thin metallic spherical shells of radii $r_{1}$ and $r_{2}\left(r_{1}<r_{2}\right)$ are placed with their centres coinciding. A material of thermal conductivity $K$ is filled in the space between the shells. The…

As per the given figure, two plates $A$ and $B$ of thermal conductivity $K$ and $2K$ are joined together to form a compound plate. The thickness of plates are $4.0\mathrm{cm}$ and $2.5\mathrm{cm}$ respectively and the…