Surface temperature of the sun as estimated is 6032.25 K. The wavelength at which sun radiates

step 1 In this question, it is given that surface temperature of the sun is estimated as, T is estimate

Surface temperature of the sun as estimated is 6032.25 K....

Surface temperature of the sun as estimated is $6032.25 \mathrm{~K}$. The wavelength at which sun radiates maximum energy, is: (Given: Wein's constant $=0.2898 \mathrm{~cm}-\mathrm{K}$ (a) $\lambda_{m}=5000 \AA$ (b) $\lambda_{m}=4804.2 \AA$ (c) $\lambda_{m}=3809.5 \AA$ (d) $\lambda_{m}=2891.6 \AA$

Surface temperature of the sun as estimated is $6032.25 \mathrm{~K}$. The wavelength at which sun radiates maximum energy, is: (Given: Wein's constant $=0.2898 \mathrm{~cm}-\mathrm{K}$
(a) $\lambda_{m}=5000 \AA$
(b) $\lambda_{m}=4804.2 \AA$
(c) $\lambda_{m}=3809.5 \AA$
(d) $\lambda_{m}=2891.6 \AA$

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Key Concepts

Wien's Displacement Law

Wien's Displacement Law relates the temperature of a black body to the wavelength at which it emits radiation most strongly. It states that the product of the temperature and this peak wavelength is a constant, meaning that hotter objects radiate maximum energy at shorter wavelengths while cooler objects do so at longer wavelengths.

Blackbody Radiation

Blackbody radiation describes the electromagnetic radiation emitted by an idealized physical body that absorbs all incident radiation, regardless of frequency or angle of incidence. The spectrum of the radiation depends only on the body's temperature, and its analysis provides insights into thermal emission and quantum mechanics.

Unit Conversion in Scientific Calculations

Unit conversion is essential to ensure consistent results in physics problems. When working with constants or measurements provided in different units, such as Wien's constant given in centimeters-Kelvin, it is important to convert units appropriately (for example, converting from centimeters to angstroms) to accurately determine the corresponding physical quantities.

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