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Question

If a person lives on the average 100 years in his rest frame, how long does he live in the earth frame if he spends all his life on a spaceship going at 60% of the speed of light.


Solution

Given:
Proper time, t = 100 years
Speed of spaceship, v = 60100c = 0.60c

t'=t1-v2c2     =1001-0.602c2c2     =1000.8=125 y

Thus, the person lives for 125 years in the Earth frame.
 

Physics
HC Verma - II
Standard XII

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