Two independent events occur 100 m apart with an intervening time interval of 0.42 $\mu$s. The proper time in $\mu$s between the events is:
A) 0
B) 0.16
C) 0.26
D) 0.42
E) 0.69

Question

Quizplus · Accepted Answer

The proper time interval between the events can be calculated using the formula:
Δτ = √(Δt^2 - Δx^2), where Δt is the time interval between the events and Δx is the distance between them.
Substituting the given values, we get:
Δτ = √(0.42s)^2 - (100m)^2
Δτ = √(0.1764 - 10000)
Δτ = √(-9999.8236) (Note: this result is imaginary, which means it is not physically possible.)
Therefore, the proper time interval between the events is 0 seconds.

Two Independent Events Occur 100 M Apart with an Intervening μ\muμ

Two Independent Events Occur 100 M Apart with an Intervening $\mu$