Question
Adye laser emits a pulse at 442 nm that contains 4.17times 10^15 photons. What is the energy content (in mJ)of this pulse? square 1 mJ
Solution
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Savannah
Professional · Tutor for 6 years
Answer
Here's how to calculate the energy content of the laser pulse:1. **Calculate the energy of a single photon:** The energy of a photon (E) is given by the equation: E = h * c / λ Where: * h is Planck's constant (6.626 x 10⁻³⁴ J s) * c is the speed of light (2.998 x 10⁸ m/s) * λ is the wavelength (442 nm = 442 x 10⁻⁹ m) E = (6.626 x 10⁻³⁴ J s) * (2.998 x 10⁸ m/s) / (442 x 10⁻⁹ m) E ≈ 4.50 x 10⁻¹⁹ J2. **Calculate the total energy of the pulse:** The total energy is the energy per photon multiplied by the number of photons: Total Energy = (Energy per photon) * (Number of photons) Total Energy = (4.50 x 10⁻¹⁹ J) * (4.17 x 10¹⁵ photons) Total Energy ≈ 1.88 x 10⁻³ J3. **Convert to millijoules (mJ):** 1 J = 1000 mJ Total Energy = 1.88 x 10⁻³ J * (1000 mJ/J) Total Energy ≈ 1.88 mJTherefore, the energy content of the pulse is approximately
mJ.