A dye emits 50% of the absorbed energy as fluorescence. If the number of quanta absorbed and the emitted out are in ratio 1:4. Find the wavelength of emitted radiation if the absorbed radiation has a wavelength of xoA.
A
xoA
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B
0.5xoA
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C
4xoA
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D
8xoA
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Solution
The correct option is D8xoA We know, E = nhv = nhcλ where n is the number of photon absorbed or emitted λ is the wavelength. Given: Eemitted=50100×Eabsorbed
or, n1×hcλ1=12×n2×hcλ2 where n1 and n2 is the number of photons emitted and absorbed. And n1:n2 = 4:1 ⇒λ1λ2=21×n1n2=21×41