A certain laser emits monochromatic pulses approximately 1.25x10^15 photons every sec. a detection device is placed...

A certain laser emits monochromatic pulses approximately 1.25x10^15 photons every sec. a detection device is placed in front of the beam and measures the energy output over span of 1 min. The device reports a total input energy of 25 mJ. Determine wavelength of the emitted photons and the power of the beam

Solutions

Expert Solution

Recall that we can relate energy + wavelenght as follows

For the wavelength:

WL = h c / E

h = Planck Constant = 6.626*10^-34 J s

c = speed of particle (i.e. light) = 3*10^8 m/s

E = energy per particle J/photon

to nanometers:

simply multiply by 10^9

Then

get energy per photon:

En = Total Energy / total photons

Total Energy = 25 mJ = 25*10^-3 J

total photons = 1.25*10^15 photons / s * 60 s / 1 min = 7.5*10^16 photons

Etotal = (25*10^-3)/(7.5*10^16)

Etotal = 3.3333333*10^-19 J/photon

Now,

WL = (6.626*10^-34)(3*10^8)/(3.3333333*10^-19)

WL = 5.963*10^-7 m

WL = (5.963*10^-7)(10^9) = 596.3 nm

this drops in the "visible line" spectrum

queen_honey_blossom answered 1 year ago

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