Question:
Two bodies $A$ and $B$ are placed in an evacuated vessel maintained at a temperature of $27^{\circ} C$. The temperature of $A$ is $327^{\circ} C$ and that of $B$ is $227^{\circ} C$. The ratio of heat loss from $A$ and $B$ is about
Two bodies $A$ and $B$ are placed in an evacuated vessel maintained at a temperature of $27^{\circ} C$. The temperature of $A$ is $327^{\circ} C$ and that of $B$ is $227^{\circ} C$. The ratio of heat loss from $A$ and $B$ is about
Updated On: Jan 30, 2025
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The Correct Option is A
Solution and Explanation
For body A rate of heat loss is
$E _{ A }=\sigma A \left(600^{4}-300^{4}\right)$
For body $B$ rate of heat loss is
$E_{B}=\sigma A\left(500^{4}-300^{4}\right)$
So ratio of heat loss is
$E_{A} / E_{B}=\left(600^{4}-300^{4}\right) /\left(500^{4}-300^{4}\right)$
$=2.23: 1 \approx 2: 1$
$E _{ A }=\sigma A \left(600^{4}-300^{4}\right)$
For body $B$ rate of heat loss is
$E_{B}=\sigma A\left(500^{4}-300^{4}\right)$
So ratio of heat loss is
$E_{A} / E_{B}=\left(600^{4}-300^{4}\right) /\left(500^{4}-300^{4}\right)$
$=2.23: 1 \approx 2: 1$
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Concepts Used:
Heat Transfer
What is Heat Transfer?
It is defined as the movement of heat across the border of the system due to a difference in temperature between system and its surroundings.
How is Heat Transferred?
Heat can travel from one place to another in several ways. The different modes of heat transfer include:
- Conduction - Heat flows from things with higher temp to objects with lower temp.
- Convection - Movement of liquid molecules from higher temp regions to lower temp regions.
- Radiation - Radiant heat is present in every other way in our daily lives. Thermal radiations are also known to as radiant heat. Thermal radiation is generated by the emission of electromagnetic waves.
