At what fraction of the speed of light would the $\gamma$factor lead to a tenfold time dilation?
A) 0.5
B) 0.95
C) 0.75
D) 0.995
E) 0.9999995

Name: At what fraction of the speed of light would the $\gamma$factor lead to a tenfold time dilation? A) 0.5 B) 0.95 C) 0.75 D) 0.995 E) 0.9999995
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Question

Quizplus · Accepted Answer

Time dilation is given by the Lorentz factor, which is 1/sqrt(1-v^2/c^2). For a tenfold time dilation, the Lorentz factor should be 10. Solving 1/sqrt(1-v^2/c^2) = 10 gives v ≈ 0.995c.

At What Fraction of the Speed of Light Would The \gamma