![]() ![]() Why is time dilated when approaching the speed of light? ![]() This means all galaxies are moving away from us and using the Doppler Shift factor enable us to work out how fast they are receding away from us.īecause all galaxies are receding away from us it meant all the galaxies came from one place so the Big Bang theory was concluded. It is important because ALL galaxies emit red shift or waves which are stretched. What so important about the Doppler Shift? Try and get the same results using your calculator. The simulation also uses the same equation as above to work out the length of the stretched wavelength. To work out how long is the stretched wavelength considering time dilation, the relativistic factor is used and it is to be multiplied to the length of the overall stretched wavelength worked out by using the Doppler shift factor as shown below. The Doppler shift factor ignores time dilation so v has to be smaller than c for the factor to work. Notice v has to be much smaller than c because time dilation happens when approaching the speed of light, this is where the rate of time slows down so the waves rotating phasors rotate slower and so their wavelengths are stretched even more. The equation derived is know as the Doppler shift factor and it is used to work out how much the wavelength has been stretched. The factor of Doppler shift can be derived as shown below. Waves being stretched are known to undergo red shift as their wavelengths has increased towards the red end of the spectrum. The Doppler effect or Doppler shift is the result of a wave emitting source to move causing the wavelength of the wave to stretch or compress. The change colour button changes the colour scheme of the simulation from a selection of : The pause/play button will pause or unpause the simulation. The start/stop button will start or stop the simulation. The length of the stretched wavelength is as shown in diagram 1. It can be turned on or off in the drop down menu as shown in diagram 2. The value of the relativistic factor is as shown in diagram 1. The relativistic can be considered or ignored in this simulation by turning it on or off. The wavelength of the magnetic radiation is as shown in diagram 1. It can be edited as shown in diagram 2, click on it and press the number keys to change the variable. The speed of the source over the speed of light is as shown in diagram 1. This is where a part of the wave goes through one full phase rotation. The source of radiation is represented as a green spot. The status bar on the browser displays the frame rate the simulation is performing, a frame rate of 60 is considered satisfactory. The interface in this simulation consist of two sides, the left hand side shows the simulation and the right hand side shows the control panel. Because this is a model, the frequency of the wave front emitted is not to scale. Each wave front is represented as a line. This simulation models electromagnetic waves being emitted from a moving source. Substitute $T$ from the time dilation equation i.e: $T = \frac$$Īnd that's how you derive it.This browser does not have a Java Plug-in. We can write the wavelength of the listener as the speed of light over the frequency: Where $T$ is the time period of the between each wave front emitted by the source in the listener's frame. The wavelength of this wave in the listeners frame is given by: The light waves will be compressed in the listeners frame due to the source moving towards the listener in the direction which the source is emitting the light waves. let $T'$ be the time period of the light wave in the source's frame. Find the distance and time between the events in both the frames, and use them to calculate the frequency and/or wavelength of the wave in both frames.īut if you are not so comfortable with how to use Lorrentz transformation, let me show you a simple derivation.Ĭonsider a source moving towards a listener and emitting light waves. One way is using Lorrentz transformation, consider two events in which the listener receives two consecutive wave fronts. Now there are two ways to tackle this situation. If you consider the source moving relative to the listener the result is the same because of symmetry. It all starts from considering a situation in which a listener is moving relative to a light emitting source. ![]()
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