A flat-screen photodetector continuously absorbs energy from a plane wave (frequency ) when the wave strikes the

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A flat-screen photodetector continuously absorbs energy from a plane wave (frequency ω) when the wave strikes the screen (area A) at normal incidence. Use the lab frame (where the detector is at rest) and a frame moving uniformly in the direction of the wave to study the total energy UEM absorbed by the detector in a finite time interval. Deduce thereby that the ratio UEM/ω is a Lorentz invariant scalar.

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