Laser Photon Emission Simulation

Laser Photon Emission Simulation

This simulation visualizes photon energy and emission rate from a laser source, as described in Example 11.1.

1.0 6.0 10.0
0.1 2.0 10.0

Example

Question:

Monochromatic light of frequency \( 6.0 \times 10^{14}~\text{Hz} \) is produced by a laser. The power emitted is \( 2.0 \times 10^{-3}~\text{W} \).
(a) What is the energy of a photon in the light beam?
(b) How many photons per second, on average, are emitted by the source?

Solution:

(a) Each photon has energy \[ E = h \nu = (6.63 \times 10^{-34}~\text{J s}) \times (6.0 \times 10^{14}~\text{Hz}) = 3.98 \times 10^{-19}~\text{J} \] (b) Number of photons per second: \[ N = \frac{P}{E} = \frac{2.0 \times 10^{-3}~\text{W}}{3.98 \times 10^{-19}~\text{J}} = 5.0 \times 10^{15} \] Thus, \( 5.0 \times 10^{15} \) photons are emitted per second.

Results

Photon Energy: 3.98 × 10⁻¹⁹ J
Photons per Second: 5.0 × 10¹⁵
Wavelength: 500 nm
Formulas used (from Example 11.1):
Photon Energy: E = hν = (6.63 × 10⁻³⁴ J·s) × (6.0 × 10¹⁴ Hz) = 3.98 × 10⁻¹⁹ J
Photon Emission Rate: N = P/E = (2.0 × 10⁻³ W) / (3.98 × 10⁻¹⁹ J) = 5.0 × 10¹⁵ photons/s
Wavelength: λ = c/ν = (3 × 10⁸ m/s) / (6.0 × 10¹⁴ Hz) = 500 nm

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