Relative to Reference Frame 1, Reference Frame 2 Moves with Speed

question 20

Multiple Choice

Relative to reference frame 1, reference frame 2 moves with speed v in the negative x direction. When the origins of the two frames coincide the clocks in both frames are set to zero. An event occurs at coordinate x₁ and time t₁ as measured in reference frame 1 and at coordinate x₂ and time t₂ as measured in frame 2. If , then the coordinates and times of the event are related by:

• A) x₂ =\(\gamma\)[x₁ - vt₁] and t₂ = \(\gamma\)[t₁ - vx₁ / c²]
• B) x₂ = \(\gamma\)[x₁ - vt₁] and t₂ = \(\gamma\)[t₁ + vx₁ / c²]
• C) x₂ = \(\gamma\)[x₁ + vt₁] and t₂ = \(\gamma\)[t₁ - vx₁ / c²]
• D) x₂ = \(\gamma\)[x₁ + vt₁] and t₂ = \(\gamma\)[t₁ + vx₁ / c²]
• E) none of the above are correct