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Question

An astronaut on a fast-moving spaceship appears to age only 1 year to an outside observer, even though the person travels for 5 years from the observer's perspective. The astronaut travels a distance of X during this time, from the observer's perspective.
Which of the following is true from the astronaut's perspective?

A
The astronaut ages 5 years during the trip
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B
The distance the astronaut travels is X
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C
The distance the astronaut travels is greater than X
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D
The distance the astronaut travels is less than X
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E
The astronaut ages more than 5 years during the trip
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Solution

The correct option is D The distance the astronaut travels is less than X
Time of journey from the person's perspective, t=5 year
Thus distance traveled from the person's perspective, X=vt=5v
Time of journey from the astronaut's perspective, t=1 year
Thus distance traveled from the astronaut's perspective, d=vt=v d<X

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