35.6 Length Contraction, Time dilation and Relativistic Law of Velocity Addition
The consequences of Equation (3) can be shown to be
Length contraction
Moving rod contracts in length by factor of
Time dilation
Moving clock dilates in time interval measured by factor of
Relativistic Law of Velocity Addition
If an object is in motion with velocity (u'_{x}, u'_{y}, u'_{z} components) in frame S' and the velocity of the object measured in S is (u_{x}, u_{y}, u_{z} components) then ,
Thus, Speed of light is same in S' and S; as it should be. Also note that according to Galilean Law of Velocity Addition,
u_{x} = u'_{x} + V would have given
u_{x} = C + C
u_{x} = 2C
But, Michelson Morley experiment has shown that, u_{x} = C only.
[next page]
