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Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per second on the average at a target irradiated by this beam is :

Question

Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per second on the average at a target irradiated by this beam is :

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Solution

To solve this problem, we need to use the formula for the energy of a photon, which is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

  1. Convert the wavelength from nm to m: λ = 667 nm = 667 x 10^-9 m

  2. Calculate the energy of one photon: E = (6.626 x 10^-34 J.s)(3 x 10^8 m/s) / (667 x 10^-9 m) = 2.98 x 10^-19 J

  3. Convert the power from mW to W: P = 9 mW = 9 x 10^-3 W

  4. The power is the energy per unit time, so the number of photons per second is given by the power divided by the energy per photon: N = P / E = (9 x 10^-3 W) / (2.98 x 10^-19 J) = 3.02 x 10^16 photons/s

So, on average, 3.02 x 10^16 photons arrive at the target per second.

This problem has been solved

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