Question

If the wavelength of maximum intensity of radiation emitted by sun and moon are $0.5 \times 10^{-6} \mathrm{~m}$ and $10^{-4} \mathrm{~m}$ respectively, the ratio of their temperatures is: (a) $\frac{1}{100}$ (b) $\frac{1}{200}$ (c) 100 (d) 200

Name: Problem 1, Chapter 18: Arihant AIEEE Physics
Uploaded: 2021-10-03T06:27:40-08:00
Duration: 1 min 26 s
Channel: Ajay Singhal
Description: If the wavelength of maximum intensity of radiation emitted by sun and moon are 0.5 ×10^-6 m and 10^-4 m respectively, the ratio of their temperatures is: (a) (1)/(100) (b) (1)/(200) (c) 100 (d) 200

   If the wavelength of maximum intensity of radiation emitted by sun and moon are $0.5 \times 10^{-6} \mathrm{~m}$ and $10^{-4} \mathrm{~m}$ respectively, the ratio of their temperatures is:
(a) $\frac{1}{100}$
(b) $\frac{1}{200}$
(c) 100
(d) 200

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 18, Problem 1

Instant Answer

Solved by Expert Ajay Singhal

10/03/2021

Step 1

5 \times 10^{-6} \mathrm{~m}$ and by the moon ($\lambda_{M}$) is $10^{-4} \mathrm{~m}$. We are asked to find the ratio of their temperatures ($T_{S}$ and $T_{M}$). Show more…

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If the wavelength of maximum intensity of radiation emitted by sun and moon are $0.5 \times 10^{-6} \mathrm{~m}$ and $10^{-4} \mathrm{~m}$ respectively, the ratio of their temperatures is: (a) $\frac{1}{100}$ (b) $\frac{1}{200}$ (c) 100 (d) 200

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Key Concepts

Wien's Displacement Law

Wien's Displacement Law states that the product of the peak wavelength of emission and the absolute temperature of a blackbody is a constant. This law provides a direct inverse relationship between the peak wavelength and temperature, meaning that as the temperature increases, the peak wavelength shifts to shorter wavelengths. It is crucial for determining the relative temperatures of radiating bodies when their peak emission wavelengths are known.

Blackbody Radiation

Blackbody radiation describes the spectrum of light emitted by an idealized object that absorbs all incident electromagnetic radiation and re-emits energy based solely on its temperature. This concept is essential in thermal physics and astrophysics for understanding how objects like stars and other celestial bodies radiate energy over a range of wavelengths.

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