In the photon picture of radiation,show that if beams of rad
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In the photon picture of radiation,show that if beams of radiation of two different wavelengths are to have the same intensity (or energy density) then the numbers of the photons per unit cross-sectional areas per sec in the beams are in the same ratio as the
wavelength.请详细一点证明下了,
wavelength.请详细一点证明下了,
Etot=nhf(f is frequecy,h is planck constant.)
f=c/λ (c is the speed of the light and λ is wavelenth)
so Etot=nhc/λ
As the question told
E1=E2
hence
n1*hc/λ1=n2*hc/λ2
as h*c is constant
cancel out we get
n1/λ1=n2/λ2
rearrange
n1/n2=λ1/λ2
f=c/λ (c is the speed of the light and λ is wavelenth)
so Etot=nhc/λ
As the question told
E1=E2
hence
n1*hc/λ1=n2*hc/λ2
as h*c is constant
cancel out we get
n1/λ1=n2/λ2
rearrange
n1/n2=λ1/λ2
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