MadSci Network: Physics |
Your question is interesting and subtle. As a light source moves toward an observer, two things happen: 1. The light gets closer, so that it will appear more intense. 2. The Doppler effect will shift the light to shorter wavelengths The inverse square law says that as a source moves closer to an observer, the intensity increases as the inverse ratio of the square of the distance moved. This is easy to see for a source which emits light in all directions uniformly: if it emits a constant number of photons, the number per unit area (the intensity!) crossing a spherical surface around the source depends on the area of the sphere, which is 4 X Pi X R^2 (4 pi r-squared). As the source gets closer, R goes down, so the intensity goes up! Also, since shorter wavelength photons have higher energy, if you do an experiment which measures photon energy you will observe higher values and the power per unit area seen by an observer will increase. Good question... hope this helps your understanding of how light works! Steve Guch [Moderator note: I think that the photon number will not change from one frame to another. As Steve says, for an approching source, they are seen to increase in frequency and energy.]
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