The period of a pendulum is 1.5 s in a stationary inertial frame of reference.What is its period when measured by an observer moving at a speed of 0.75 c with respect to the inertial frame of reference?
A)1.0 s
B)3.4 s
C)2.3 s
D)3.0 s
E)0.8 s

Question

The period of a pendulum is 1.5 s in a stationary inertial frame of reference.What is its period when measured by an observer moving at a speed of 0.75 c with respect to the inertial frame of reference?
A)1.0 s
B)3.4 s
C)2.3 s
D)3.0 s
E)​0.8 s

Quizplus · Accepted Answer

The period of the pendulum will appear longer to the moving observer due to time dilation, which is a consequence of special relativity. The formula for time dilation is T' = T / sqrt(1 - v^2/c^2). Substituting the given values, T' = 1.5 / sqrt(1 - (0.75)^2) = 2.3 s.

The Period of a Pendulum Is 1