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

Here's how to calculate the energy content of the laser pulse:<br /><br />1. **Calculate the energy of a single photon:**<br /><br /> The energy of a photon (E) is given by the equation:<br /><br /> E = h * c / λ<br /><br /> Where:<br /> * h is Planck's constant (6.626 x 10⁻³⁴ J s)<br /> * c is the speed of light (2.998 x 10⁸ m/s)<br /> * λ is the wavelength (442 nm = 442 x 10⁻⁹ m)<br /><br /> E = (6.626 x 10⁻³⁴ J s) * (2.998 x 10⁸ m/s) / (442 x 10⁻⁹ m)<br /> E ≈ 4.50 x 10⁻¹⁹ J<br /><br />2. **Calculate the total energy of the pulse:**<br /><br /> The total energy is the energy per photon multiplied by the number of photons:<br /><br /> Total Energy = (Energy per photon) * (Number of photons)<br /> Total Energy = (4.50 x 10⁻¹⁹ J) * (4.17 x 10¹⁵ photons)<br /> Total Energy ≈ 1.88 x 10⁻³ J<br /><br />3. **Convert to millijoules (mJ):**<br /><br /> 1 J = 1000 mJ<br /><br /> Total Energy = 1.88 x 10⁻³ J * (1000 mJ/J)<br /> Total Energy ≈ 1.88 mJ<br /><br />Therefore, the energy content of the pulse is approximately $\boxed{1.88}$ mJ.<br />