Two light pulses are emitted simultaneously from a source....

Two light pulses are emitted simultaneously from a source. Both pulses travel to a detector, but one first passes through $6.20 \mathrm{~m}$ of ice. Determine the difference in the pulses' times of arrival at the detector.

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Key Concepts

Speed of Light in Different Media

Light travels at a constant speed in a vacuum, approximately 3.00 x 10^8 m/s. However, when light travels through any medium such as ice, water, or glass, its speed decreases. This reduction is due to the optical properties of the medium, making it a fundamental concept in understanding how materials affect light propagation.

Refractive Index

The refractive index of a medium quantifies how much the speed of light is reduced compared to its speed in a vacuum. It is defined as the ratio of the speed of light in vacuum to that in the medium. This concept is crucial for calculating how the light’s travel time changes when passing through different substances.

Time of Flight and Optical Path Length

The time of flight of light is determined by dividing the distance the light travels by its speed in the medium. When light passes through a medium other than vacuum, the optical path length, which accounts for the slowing of light due to the medium's refractive index, becomes important. This helps in calculating the delay induced by the medium compared to light traveling through a vacuum.

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