A classical mechanics problem by Vivek Kushwah
Parallel rays of light of intensity 912 watt per sq.m. a incidence on a spherical black body kept in surrounding of temp. 300 K take the stephen constant = 5.7*10^-8 watt per sq.m per K^-4 and energy exchange with the surrounding only through radiation the final steady state temp. of black body is closed to
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
in steady state the total area at which light is incident is area of cross sectiomn of sphere ie 4Π r^2 energy incident per second = energy radiated per second
IΠr² = σ(t^4-t∘^4)4Πr²
I = σ(t^4-t∘^4)4
t^4-t∘^4 = 40×10^8
t^4 - 81×10^8 = 40×10^8
t^4 = 121×10^8
t = 330 k