Question

The thermal radiation emitted by a body per second per unit area is $\frac{\Delta H}{A \Delta t}=k T^{4}$. If $\sigma$ is Stefan's constant, then body : (a) may be polished (b) may be black body (c) must be black body (d) must not be black body

Name: Problem 34, Chapter 18: Arihant AIEEE Physics
Uploaded: 2021-09-24T19:07:04-08:00
Duration: 1 min 37 s
Channel: Saman Zulfiqar
Description: The thermal radiation emitted by a body per second per unit area is (ΔH)/(A Δt)=k T^4. If σis Stefan's constant, then body : (a) may be polished (b) may be black body (c) must be black body (d) must not be black body

   The thermal radiation emitted by a body per second per unit area is $\frac{\Delta H}{A \Delta t}=k T^{4}$. If $\sigma$ is Stefan's constant, then body :
(a) may be polished
(b) may be black body
(c) must be black body
(d) must not be black body

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 18, Problem 34

Instant Answer

Solved by Expert Saman Zulfiqar

09/24/2021

Step 1

Step 1: The given equation is $\frac{\Delta H}{A \Delta t}=k T^{4}$, where $\frac{\Delta H}{A \Delta t}$ is the thermal radiation emitted by a body per second per unit area, $k$ is a constant, and $T$ is the temperature of the body. Show more…

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The thermal radiation emitted by a body per second per unit area is $\frac{\Delta H}{A \Delta t}=k T^{4}$. If $\sigma$ is Stefan's constant, then body : (a) may be polished (b) may be black body (c) must be black body (d) must not be black body

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Key Concepts

Stefan-Boltzmann Law

This law states that the total energy radiated per unit surface area of a black body in unit time is directly proportional to the fourth power of its thermodynamic temperature. It highlights the relationship between temperature and radiant energy emitted and is fundamental in thermodynamics and quantum theory.

Black Body

A black body is an idealized physical object that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. In thermal equilibrium, it emits radiation at the maximum possible intensity, following the Stefan-Boltzmann law, making it crucial for understanding the limits of radiative energy emission.

Emissivity

Emissivity is a measure of how efficiently a real body emits thermal radiation compared to an ideal black body. While black bodies have an emissivity of one, polished or non-black surfaces have lower emissivities, meaning they emit less thermal radiation at the same temperature.

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