PHYS126 Supplementary Notes 2

# PHYS126 Supplementary Notes 2 - PHYS126 Supplementary Notes...

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PHYS126 Supplementary Notes 2 In lecture 2 and 3, we have learnt some basic concepts of Special Relativity such as time dilation and Lorentz transformation. In this note, a simple derivation of time dilation and an example of loss of simultaneity are shown. A. “Time Dilation” Special Relativity has two postulates: 1. Speed of light is constant 8 1 2.998 10 ms c - = × in any inertial reference frame (that is the frame is either at rest or moving with constant velocity, not accelerating or decelerating). 2. Physical laws are unchanged under frame transformation. A simple derivation of time dilation is like this: consider a simple clock consisting of two mirrors A and B with a separation L , between which a light pulse is bouncing. In the frame S where the clock is at rest, the light pulse traces out a path of length 2 L ; in another frame S’ where the observer is moving with speed v relative to the clock, the light pulse traces out a longer path / 2 ct .

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## This note was uploaded on 03/31/2011 for the course PHY 126 taught by Professor Hobunchan during the Spring '11 term at HKUST.

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PHYS126 Supplementary Notes 2 - PHYS126 Supplementary Notes...

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