Systems S and S' Are in Relative Motion as Indicated $\Delta$

question 59

Multiple Choice

Systems S and S' are in relative motion as indicated in the sketch. Metersticks and clocks in S' agree with metersticks and clocks in S when t = t' = 0. An observer in S' notes that two events occuring at x₁' and x₂' are simultaneous; i.e. $\Delta$ x' > 0 and $\Delta$ t' = 0 for the observer in S'. An observer in S, seeing the same two events, may find that

• A) \(\Delta\)x > \(\Delta\)x' and \(\Delta\)t > 0
• B) \(\Delta\)x >\(\Delta\)x' and\(\Delta\)t = 0
• C) \(\Delta\)x =\(\Delta\)x' and \(\Delta\)t = 0
• D) \(\Delta\)x < \(\Delta\)x' and \(\Delta\)t = 0
• E) \(\Delta\)x < \(\Delta\)x' and \(\Delta\)t > 0