An object is at temperature of 400^∘ C. At what temperature would it radiate energy twice as fas

Name: Problem 3, Chapter 18: Arihant AIEEE Physics
Uploaded: 2021-10-03T06:27:57-08:00
Duration: 1 min 3 s
Channel: Ajay Singhal
Description: An object is at temperature of 400^∘ C. At what temperature would it radiate energy twice as fast ? The temperature of the surrounding may be assumed to be negligible : (a) 200^∘ C (b) 200 K (c) 800^∘ C (d) 800 K

step 1 Hello students in this question we have an object at the temperature t equals to 400 degree cent

Question

An object is at temperature of $400^{\circ} \mathrm{C}$. At what temperature would it radiate energy twice as fast ? The temperature of the surrounding may be assumed to be negligible : (a) $200^{\circ} \mathrm{C}$ (b) $200 \mathrm{~K}$ (c) $800^{\circ} \mathrm{C}$ (d) $800 \mathrm{~K}$

   An object is at temperature of $400^{\circ} \mathrm{C}$. At what temperature would it radiate energy twice as fast ? The temperature of the surrounding may be assumed to be negligible :
(a) $200^{\circ} \mathrm{C}$
(b) $200 \mathrm{~K}$
(c) $800^{\circ} \mathrm{C}$
(d) $800 \mathrm{~K}$

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 18, Problem 3

Instant Answer

Solved by Expert Ajay Singhal

10/03/2021

Step 1

We know that $0^{\circ} \mathrm{C}$ is equivalent to $273 \mathrm{K}$. Therefore, $400^{\circ} \mathrm{C}$ is equivalent to $400 + 273 = 673 \mathrm{K}$. Show more…

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An object is at temperature of $400^{\circ} \mathrm{C}$. At what temperature would it radiate energy twice as fast ? The temperature of the surrounding may be assumed to be negligible : (a) $200^{\circ} \mathrm{C}$ (b) $200 \mathrm{~K}$ (c) $800^{\circ} \mathrm{C}$ (d) $800 \mathrm{~K}$

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Key Concepts

Absolute Temperature Scale

Using the Kelvin scale is essential in thermodynamic calculations because the Stefan-Boltzmann relationship and other physical laws require temperatures measured from absolute zero. Converting temperatures from Celsius to Kelvin ensures the accuracy of thermal radiation computations, as the formulas are only valid when absolute temperatures are used.

Stefan-Boltzmann Law

The Stefan-Boltzmann law relates the power radiated per unit area of a black body to the fourth power of its absolute temperature. This law implies that if the energy radiated by an object is doubled, its temperature must be increased by the fourth root of 2, making the concept of proportionality to T^4 essential for solving problems involving radiative heat transfer.

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