Question

8. The surface temperature of a hot body is 1400 K. Find the wavelength of
maximum energy radiated, if Wien's constant is energy radiated, if Wien's
constant is 2.892 x 10-3 mK.​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

The surface temperature of a hot body is 1400 K. Find the wavelength of maximum energy radiated, if Wien's constant is energy radiated, if Wien's constant is ${\sf 2.892×10^{-3}mK}$.

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Temperature of hot body (T) = 1400K
• Wein's constant (b) = ${\sf 2.892×10^{-3}mK}$

$\large\underline{\underline{\sf To\:Find:}}$

• Wavelength of maximum energy radiated${\sf(\lambda)}$.

$\large{\rm Wein's \: law-}$

✪$\large{\boxed{\bf \blue{\lambda T = b}}}$

$\implies{\sf \lambda × 1400 = 2.89×10^{-3}}$

$\implies{\sf \lambda = \dfrac{2.89×10^{-3}}{1400}}$

$\implies{\sf \lambda = 0.00206 }$

$\implies{\bf \red{ \lambda = 2.0×10^{-3}m }}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Wavelength of maximum energy radiated${\sf(\lambda)}$ is ${\bf \red{2.0×10^{-3}m}}$.

Answer 2

All objects with a temperature above absolute zero (0 K, -273.15 oC) emit energy in the form of electromagnetic radiation. A blackbody is a theoretical or model body which absorbs all radiation falling on it, reflecting or transmitting none.