Captain Einstein is a virtual reality movie that takes the audiences on a boat trip in a world with a slow speed of ligh

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Captain Einstein Is A Virtual Reality Movie That Takes The Audiences On A Boat Trip In A World With A Slow Speed Of Ligh 1 (84.17 KiB) Viewed 51 times

Captain Einstein is a virtual reality movie that takes the audiences on a boat trip in a world with a slow speed of light. This allows audiences for a direct experience of the theory of special relativity through the different relativistic effects such as length contraction, time dilation, Doppler shift, etc. The last scene in the video is as if you could run alongside with the beam light. Answer the following questions to clarify what you have seen in that video. An electromagnetic plane wave of (angular) frequency w is traveling in the x direction through the vacuum. It is polarized in the y direction, and the amplitude of the electric field is Eo. Write down the electric and magnetic fields, E(x, y, z, t) and B(x, y, z, t). Be sure to define any auxiliary quantities you introduce, in terms of o, Eo, and the constants of nature. A. This same wave is observed from an inertial system S’ moving in the x direction with speed v| relative to the original system S. Find the electric and magnetic fields in Sº, and express them in terms of the S' coordinates: E'(x’, x', X’, x') and B'(x’, x’, x°, x'). Again, be sure to define any auxiliary quantities you introduce. B. What is the frequency o' of the wave in S’? Interpret this result. What is the wavelength i' of the wave in S? From w' and l’, determine the speed of the waves in S’. Is it what you expected? C. Show that the ratio of the intensity (I' = ī) in s to the intensity (1) in S is given as I E3 1-v/c 1 -v/c Where a= I 1+v/c V1+v/c As a youth, Einstein wondered what an electromagnetic wave would look like if you could run along beside it at the speed of light. What can you tell him about the amplitude, frequency, and intensity of the wave, as v approaches c?