A metal rod $\mathrm{AB}$ of length $10 x$ has its one end $\mathrm{A}$ in ice at $0^{\circ} \mathrm{C}$ and the other end $\mathrm{B}$ in water at $100^{\circ} \mathrm{C}$. If a point $\mathrm{P}$ on the rod is maintained at $400^{\circ} \mathrm{C}$, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is $540 \ \mathrm{cal} / \mathrm{g}$ and latent heat of melting of ice is $80 \ \mathrm{cal} / \mathrm{g}$. If the point $\mathrm{P}$ is at a distance of $\lambda x$ from the ice end $\mathrm{A}$, find the value of $\lambda$.
[Neglect any heat loss to the surrounding.|
At temperatures close to $0\ K$ , the heat capacity $C$ of a certain solid is related to its temperature $T$ by the equation $C = aT^3$ , where a is a constant characteristic of the solid. Heat is supplied to the solid at a steady rate. Which graph best represents the variation of its temperature $T$ with time $t$ ?
Latent heat of $1\,gm $ of steam is $536 \,cal/gm,$ then its value in $joule/kg$ is
When the pressure on water is increased the boiling temperature of water as compared to $100°C$ will be
Values for latent heat in Column$-\,I$ and its values are given in Column$-\,II$. Match the followings :
Column $-\,I$ | Column $-\,II$ |
$(a)$ Latent heat of vaporization $L_V$ | $(i)$ $22.6\, \times \,{10^5}\,J\,/kg$ |
$(b)$ Latent heat of fusion $L_f$ | $(ii)$ $33.3\, \times \,{10^5}\,J\,/kg$ |
$(iii)$ $3.33\, \times \,{10^5}\,J\,/kg$ |