Question

Tom is on a bus that is moving with constant speed in the +x direction while...

Tom is on a bus that is moving with constant speed in the +x direction while Fred is standing on the sidewalk. Both Fred and Tom are holding identical metersticks. As seen on Fred's frame of reference, Tom's meterstick is only 0.8 m long. What is the speed of the bus relative to the sidewalk?  

edit : rest length of meterstick is = 1 m long

  1. 0.6c
  1. 0.64c
  1. 0.8c
  1. 0.36c
  1. 0.67c
0 0
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Answer #1

Ans: We know by length contraction the lengths in moving frames will appear shorter by Lorentz factor.

Here true length is l = 1 m

and observed length is l' = 0.8 m

Therefore,

  

Therefore option A is correct.

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