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.|
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.|
- [IIT 2009]
- A
$4$
- B
$5$
- C
$9$
- D
$2$
Similar Questions
A solid cube having certain fixed melting and boiling points takes heat from some source.The variation of temperature $\theta$ of the cube with the heat supplied $Q$ is shown in the adjoining graph. The portion $BC$ of the graph represents the conversion of
A solid cube having certain fixed melting and boiling points takes heat from some source.The variation of temperature $\theta$ of the cube with the heat supplied $Q$ is shown in the adjoining graph. The portion $BC$ of the graph represents the conversion of
The figure given below shows the cooling curve of pure wax material after heating. It cools from $A$ to $B$ and solidifies along $BD$. If $L$ and $C$ are respective values of latent heat and the specific heat of the liquid wax, the ratio $L/C$ is
The figure given below shows the cooling curve of pure wax material after heating. It cools from $A$ to $B$ and solidifies along $BD$. If $L$ and $C$ are respective values of latent heat and the specific heat of the liquid wax, the ratio $L/C$ is
Write a latent heat unit and dimensional formula. On what does the value of latent heat depend ?
Write a latent heat unit and dimensional formula. On what does the value of latent heat depend ?
A child running a temperature of $101\,^{\circ} F$ is given an antipyrin (i.e. a medicine that lowers fever) which causes an increase in the rate of evaporation of sweat from his body. If the fever is brought down to $98\,^{\circ} F$ in $20$ minutes, what is the average rate of extra evaporation caused, by the drug (in $g/min$). Assume the evaporation mechanism to be the only way by which heat is lost. The mass of the child is $30\; kg$. The spectfic heat of human body is approximately the same as that of water, and latent heat of evaporation of water at that temperature is about $580\; cal \;g^{-1}$.
A child running a temperature of $101\,^{\circ} F$ is given an antipyrin (i.e. a medicine that lowers fever) which causes an increase in the rate of evaporation of sweat from his body. If the fever is brought down to $98\,^{\circ} F$ in $20$ minutes, what is the average rate of extra evaporation caused, by the drug (in $g/min$). Assume the evaporation mechanism to be the only way by which heat is lost. The mass of the child is $30\; kg$. The spectfic heat of human body is approximately the same as that of water, and latent heat of evaporation of water at that temperature is about $580\; cal \;g^{-1}$.
$Assertion :$ Melting of solid causes no change in internal energy.
$Reason :$ Latent heat is the heat required to melt a unit mass of solid.
$Assertion :$ Melting of solid causes no change in internal energy.
$Reason :$ Latent heat is the heat required to melt a unit mass of solid.
- [AIIMS 1998]