(a)
The plot is
Gnuplot is used for plotting
The text document is
set zeroaxis
set xlabel 'Wavelength(nm)'
set ylabel 'energy density(J/kg m^3)'
set title 'Energy Density v/s Wavelength'
set term png
set output 'rp.png'
r(x)=(8*pi*8*10**(15))/x**4
p(x)=((8*pi*2*10**(20))/x**5)*(1/(exp(2.5*10**(4)/x)-1))
plot [1000:32000][0.1:12] r(x) title 'Rayleigh',p(x) title
'Plancks'
Write all this in a txt file and in gnuplot write
load 'filename.txt'
From graph one can see:
At higher wavelength i.e. (2500 nm- 3000 nm) there is agreement between Plancks and Rayleigh
maximum wavelength at this tempertaure is
(b) Total power emitted
where is stefans constant
Construct plots that show the wavelength-dependent energy spectrum of a blackbody at a temperature of 5800...
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