A black body radiates maximum energy when its surface temperature T and the corresponding wavelength...
PHYSICS
WAEC 2018
A black body radiates maximum energy when its surface temperature T and the corresponding wavelength \(\lambda\)max are related by the equation \(\lambda\)max T = constant. Given the values of the constant and surface temperature as 2.9 x 10\(^{-3}\) mK and 57°C respectively; Calculate the frequency of the energy radiated.
Explanation
\(\lambda\) max = \(\frac{2.9 \times 10^{-3}}{330}\) = 8.8 x 10\(^{-6}\)m
v = f\(\lambda\) or f = \(\frac{v}{\lambda}\)
where v = velocity of light = 3.0 x10\(^{-8}\) m/s
\(\lambda\) = 8.8 x 10\(^{-6}\)
f = \(\frac{v}{\lambda}\)
= \(\frac{3.0 \times 10^8}{8.8 \times 10^{-6}}\)
= 3.4 x 10\(^{13}\) Hz
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *