Go Back   Physics Help Forum > College/University Physics Help > Special and General Relativity

Special and General Relativity Special and General Relativity Physics Help Forum

Reply
 
LinkBack Thread Tools Display Modes
Old Feb 9th 2010, 01:04 AM   #1
Junior Member
 
Join Date: Jul 2008
Location: Melbourne, Australia
Posts: 11
Light clock under constant proper accelleration

I am consistently getting the wrong answer to this question and am starting to wonder if there is an error in the text.

A light clock has proper length l and moved longitudinally through an IF with proper accelleration alpha. (Ignore any variation of alpha along the rod). By looking at the time it takes the photon to make one to-and-fro bounce in the instantaneous rest frame, show that the frequency and proper frequency are related in the lowest order by

$\displaystyle v=v_0 \gamma^{-1}(1+\frac 12 \alpha l/c^2)$

the trouble is I get:
$\displaystyle v=v_0 \gamma^{-1}(1+\frac 12 \alpha^2 l^2/c^4)$

Which is correct? Any clues how to solve this?

Source: Rindler Relativity SG&C prob 3.10
Kiwi_Dave is offline   Reply With Quote
Reply

  Physics Help Forum > College/University Physics Help > Special and General Relativity

Tags
accelleration, clock, constant, light, proper



Thread Tools
Display Modes


Similar Physics Forum Discussions
Thread Thread Starter Forum Replies Last Post
Proper Terminology / Name GWSEA Waves and Sound 1 May 23rd 2014 11:55 PM
Clock watching in orbit Spruce Special and General Relativity 5 Aug 23rd 2012 06:44 PM
[SOLVED] proper and improper time interval paradox r.samanta Special and General Relativity 5 Nov 14th 2009 06:19 PM
Need help with Proper integral of a uniformly charged rod db2dz Electricity and Magnetism 5 Sep 13th 2009 01:32 PM


Facebook Twitter Google+ RSS Feed