Question
In: Chemistry
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 2 years agoRelated Solutions
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