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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!
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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