(adsbygoogle = window.adsbygoogle || []).push({}); gre problem: special relativity, two events in two reference frames

34. In an inertial reference frame S, two events occur on the x-axis separated in time by [tex]\Delta t[/tex] and in space by [tex]\Delta x[/tex]. in another inertial reference frame S', moving in the x-directon relative to S, the two events could occura t the same time under which, if any, of the following conditions?

a.) For any values of [tex]\Delta x[/tex] and [tex]\Delta t[/tex].

b.) Only if |[tex]\Delta x[/tex]/[tex]\Delta t[/tex]| < c

c.) Only if |[tex]\Delta x[/tex]/[tex]\Delta t[/tex]| > c

d.) Only if |[tex]\Delta x[/tex]/[tex]\Delta t[/tex]| = c

e.) Under no condition

Answer: c.)

Can someone explain why? It would help if you refer to specific equations that prove the answer is correct.

Thanks!

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# Gre problem

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