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The passenger of example slept with his ...

The passenger of example slept with his head towards the engine and feet towards the guard's coach. If he measured 6 ft in the train frame, how tall is he in the ground frame ?

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In the ground frame, the passanger is moving with a velocity c / 10 . His length is thus contacterd. The length measured in the train frame is the rest length of the passenger as the passenger is at rest in the train. Thus , his length in the ground frame is
` L' = 6 ft (sqrt 1 - (1 / 10 )^(2)) = 6 ft (sqrt 99 / 100 ) = 5 feet 11.6 inches`.
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HC VERMA-THE SPECIAL THEORY OF RELATIVITY-Exercise
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