Time Dilation - GRE Subject Test: Physics

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Question

At one point in time, two twins are 30 years old. At this time, one of them gets on a rocket and travels at 0.8 c, for what he experiences to be 12 years. How old is the twin that remained on Earth when the traveling twin returns home?

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Answer

The equation for time dilation is given by:

In this problem v=0.8c T=12. Using this equation, we get:

Adding 20 years to the age initial age of 30:

The Earth-twin is now 50.

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