Problem 2: The time period of a pendulum is measured to be 3 s in the inertial frame of the pendulum. What is the period when measured by an observer moving with a speed of 0.95 c with respect to the pendulum?

Solution

Formula: We know that

Where t_{0} is the rest or proper time, t is the relativistic time, v is the relativistic velocity and c is the velocity of light.

Given:
Time period at rest = t_{0} = 3 s Relativistic velocity = 0.95 c
Velocity of light = c = 3 × 108 m/s

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