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

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

Correct Answer:

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