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 ![](imagelc.gif)
![](imagelc2.gif)
Time dilation
Moving clock dilates in time interval measured by factor of
![](imagelc3.gif)
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 (ux, uy, uz components) then ,
![](imagerl1.gif)
![](imagerl2.gif)
Thus, Speed of light is same in S' and S; as it should be. Also note that according to Galilean Law of Velocity Addition,
ux = u'x + V would have given
ux = C + C
ux = 2C
But, Michelson- Morley experiment has shown that, ux = C only.
[next page]
|