How many photons should be sent through a sample of area 2.66x10^-5 cm^2 to gene

Question

How many photons should be sent through a sample of area 2.66x10^-5 cm^2 to generate one absorption event. The activation laser wavelength is 532 nm, the absorption cross-sectional area of one molecule is 2.065x10^-16 cm^2, and the probability of one photon illuminating is 2.065x10^-16 cm^2. If these photons are delivered in a microsecond, what is the power passing through the area and what is the power per unit area? How many photons should be sent through a sample of area 2.66x10^-5 cm^2 to generate one absorption event. The activation laser wavelength is 532 nm, the absorption cross-sectional area of one molecule is 2.065x10^-16 cm^2, and the probability of one photon illuminating is 2.065x10^-16 cm^2. If these photons are delivered in a microsecond, what is the power passing through the area and what is the power per unit area?

Explanation / Answer

No of photons should be sent, N = 2.66*10^-5/(2.065*10^-16)

= 1.288*10^11

Energy of these photons, E = N*epenergy of each photon

= N*h*c/lamda

= 1.288*10^11*6.626*10^-34*3*10^8/(532*10^-9)

= 4.81*10^-8 J

Power = Energy transported /tie taken

= 4.81*10^-8/(1*10^-6)

= 4.81*10^-2 W

Power per unit Area = Power/Area

= 4.81*10^-2/(2.66*10^-5)

= 1808 W/cm^2

= 1.808*10^7 W/m^2

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