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Moderate

Relativistic Length of the Galaxy

APPH12-AJHTIG

As observed from a telescope on Earth, the Milky Way Galaxy has a length of $100{,}000\text{ light years}$. You have created a spaceship capable of traveling at relativistic speeds and decide to explore the Galaxy. You travel from one end to the other.

If you travel at a constant velocity of $v=0.995c$, what is the observed length of the Galaxy as you measure it on the spaceship?

A

$100{,}000\text{ light years}$

B

$1{,}001{,}000\text{ light years}$

C

$7{,}070\text{ light years}$

D

$9{,}990\text{ light years}$