HSC Together Year 12 Physics: Time Dilation and Length Contraction

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Time Dilation and Length Contraction

Time Dilation and Length Contraction is part of the HSC Physic syllabus Module 7: Nature of Light under Light and Special Relativity.

In this post, we will investigate the evidence, from Einstein’s thought experiments and subsequent experimental validation for the following:

  • Time dilation
  • Length contraction

Time dilation and length contraction are two related concepts in special relativity, a theory developed by Albert Einstein to describe the behaviour of objects moving at high speeds.

Time dilation refers to the phenomenon where time appears to pass more slowly for an object moving at high speeds compared to a stationary observer. This means that a clock moving at high speeds will appear to run slower than a stationary clock, and the faster an object moves, the more time will appear to slow down for the observer.

Length contraction refers to the phenomenon where objects appear to shorten in the direction of motion as they approach the speed of light. This means that a ruler moving at high speeds will appear to be shorter to a stationary observer than it would be if it were stationary.

Both time dilation and length contraction are due to the fact that the laws of physics, including the speed of light, are the same for all observers, regardless of their relative motion. As a result, objects moving at high speeds will appear to behave differently to a stationary observer than they would if they were stationary.

In summary, time dilation and length contraction are two important concepts in special relativity that describe how objects moving at high speeds appear to behave differently to a stationary observer. These concepts have important practical applications in fields such as particle physics, cosmology, and GPS technology.

Time dilation

The formulae for time dilation is the following:

t = \frac{t_0}{\sqrt{\frac{1-v^2}{c^2}}} 

Learn more about it in the video below!

Length contraction

The formula for length contraction is the following:

L = L_o \sqrt(1-\frac{v^2}{c^2})

Looking for more resources? Check out more HSC Physics content here!

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