LENGTH CONTRACTION IN RELATIVITY
Let us consider two inertial frame s and
s’. s’ is moving with velocity v relative to s along +x direction. Frame s is
at rest. Let a rod AB is laying along the x axis in frame s. If x1 and x2 be
coordinate of ends A and B respectively then the length L0 of the rod in frame
s is given by
According to Inverse Lorentz
Transformation we have
Hence
the length of rod moving with velocity v relative to the observer is contracted
by a factor in
the direction of motion. This phenomenon is also called Lorentz-Fitzgerald Contraction.
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