One end of a copper rod of length 1.0m and area of cross-section {10^{

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10-2.Transmission of Heat

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One end of a copper rod of length $1.0\;m$ and area of cross-section ${10^{ - 3}}$ is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is $92\;cal/m{\rm{ - }}s{{\rm{ - }}^o}C$ and the latent heat of ice is $8 \times {10^4}cal/kg$, then the amount of ice which will melt in one minute is

$9.2 \times {10^{ - 3}}kg$

$8 \times {10^{ - 3}}kg$

$6.9 \times {10^{ - 3}}kg$

$5.4 \times {10^{ - 3}}kg$

Solution

so, $\frac{{KA({\theta _1} – {\theta _2})t}}{l} = m \times L$
$ \Rightarrow m = \frac{{{{10}^{ – 3}} \times 92 \times (100 – 0) \times 60}}{{1 \times 8 \times {{10}^4}}} = 6.9 \times {10^{ – 3}}kg$

Standard 11

Physics

A body of length 1m having cross sectional area $0.75\;m^2$ has heat flow through it at the rate of $ 6000\; Joule/sec$ . Then find the temperature difference if $K = 200\;J{m^{ – 1}}{K^{ – 1}}$ …… $^oC$

medium

For cooking the food, which of the following type of utensil is most suitable

easy

Two walls of thicknesses $d_1$ and $d_2$ and thermal conductivities $k_1$ and $k_2$ are in contact. In the steady state, if the temperatures at the outer surfaces are ${T_1}$ and ${T_2}$, the temperature at the common wall is

medium

A rod $C D$ of thermal resistance $10.0\; {KW}^{-1}$ is joined at the middle of an identical rod ${AB}$ as shown in figure, The end $A, B$ and $D$ are maintained at $200^{\circ} {C}, 100^{\circ} {C}$ and $125^{\circ} {C}$ respectively. The heat current in ${CD}$ is ${P}$ watt. The value of ${P}$ is … .

hard

(JEE MAIN-2021)

Two rods of same length and cross section are joined along the length. Thermal conductivities of first and second rod are ${K_1}\,\,{\rm{and}}\,\,{K_2}$. The temperature of the free ends of the first and second rods are maintained at ${\theta _1}\,\,{\rm{and }}{\theta _2}$ respectively. The temperature of the common junction is

medium

Solution

Similar Questions

A body of length 1m having cross sectional area $0.75\;m^2$ has heat flow through it at the rate of $ 6000\; Joule/sec$ . Then find the temperature difference if $K = 200\;J{m^{ – 1}}{K^{ – 1}}$ …… $^oC$

For cooking the food, which of the following type of utensil is most suitable

Two walls of thicknesses $d_1$ and $d_2$ and thermal conductivities $k_1$ and $k_2$ are in contact. In the steady state, if the temperatures at the outer surfaces are ${T_1}$ and ${T_2}$, the temperature at the common wall is

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