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Contests/Gnit Weekly Challenge Standard 002 (GWCS002)/Problem 1 Photon energy and momentum
Problem 1

Photon energy and momentum

Finished
100 ptsLv.5 ElementaryQuantum
2026/07/22 21:00〜2026/07/22 21:45
Author: admin02

Problem Statement

Light possesses particle-like properties, and each particle is called a photon. The energy EEE and momentum ppp of a single photon corresponding to light with wavelength λ\lambdaλ are expressed, using Planck's constant hhh, as follows:

E=hcλE = \frac{hc}{\lambda}E=λhc​ p=hλp = \frac{h}{\lambda}p=λh​

Here, ccc is the speed of light in a vacuum.

Monochromatic light with wavelength λ\lambdaλ is emitted from a light source. Find the ratio Ep\frac{E}{p}pE​ of the energy EEE and momentum ppp of a single photon corresponding to this light.

Constraints

  • c=3.0×108 m/sc = 3.0 \times 10^8 \ \text{m/s}c=3.0×108 m/s
  • h=6.6×10−34 J⋅sh = 6.6 \times 10^{-34} \ \text{J}\cdot\text{s}h=6.6×10−34 J⋅s
  • λ=6.0×10−7 m\lambda = 6.0 \times 10^{-7} \ \text{m}λ=6.0×10−7 m

Input Format

Enter the value of the calculated ratio Ep\frac{E}{p}pE​ expressed in m/s\text{m/s}m/s units.

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