Understanding Light Clock Puzzles
A light clock is a simple physics model. It uses two mirrors and one light pulse. The pulse travels between the mirrors. Each trip marks a repeatable unit of time. When the clock is at rest, the pulse crosses the direct mirror spacing.
Why Motion Changes the Reading
When the whole clock moves sideways, an outside observer sees a diagonal light path. The pulse must still travel at light speed in vacuum. The longer diagonal path makes each tick appear longer. This is the classic time dilation idea from special relativity. The calculator turns that idea into numbers.
What This Calculator Measures
The tool accepts mirror spacing, speed, refractive index, pulse count, and trip type. You can solve a one way pulse or a round trip tick. It reports proper time, observed time, dilation factor, added delay, diagonal path, drift distance, and frequency shift. It also gives an inverse speed when you enter a target observed time.
Physics Meaning of Results
Proper time is the time measured by someone moving with the clock. Observed time is the time measured by a stationary outside observer. Gamma is the multiplier connecting both values. A gamma of 1 means no motion effect. A higher gamma means stronger dilation.
Using Advanced Settings
The refractive index option changes the effective light speed inside a medium. Vacuum is entered as 1. Air is very close to 1. Glass or water can be higher. For most relativity puzzles, use vacuum unless the problem clearly gives a medium. The tick count multiplies one pulse result into a full run.
Practical Puzzle Use
Start with the values given in the question. Select the same trip type used by the wording. A "bounce back" usually means round trip. A "crossing" usually means one way. Then compare the proper and observed times. The difference explains why moving clocks appear slower to the observer. Export the result when you need a clean worksheet record.
Common Sources of Error
The most common mistake is mixing units. Use meters, kilometers, or centimeters carefully. Another mistake is entering percent speed as beta. For example, 60 percent is 0.6 beta. The tool separates both formats to reduce wrong puzzle answers overall.