A soap film of 5x107 m thick is viewed at an angle of 35° to the
normal. Find the wavelengths of light in the visible spectrum which
will bw absent from the reflected light, given that the refractive index
of the film is 1.33.
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μ= 1.33, t = 6 x 10−5 cm, i=35°
μ=sin isin rsin r=sin iμ=0.43
Therefore, r = 25.46
cos r = 0.902
Condition for darkness is 2μ t cos r = nλ
Substitute values of n as 1,2,3,4……… we will get corresponding wavelengths .those wavelengths which fall in the visible spectra will remain absent.
For n=1, λ1=2×1.33×6×10−5×0.902=14395AUn=2, λ2=2×1.33×6×10−5×0.9022=7197AUn=3, λ3=2×1.33×6×10−5×0.9023=4798AUn=4, λ4=3598AUn=5, λ5=2879AU
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