A beam of light passes through 285.60 cm of water of index 1.3330, then through 15.40 cm of gl

step 1 Hi friends here it is given a beam of light passing through the water of depth to 85 .6 centimet

A beam of light passes through 285.60 cm of water of index...

A beam of light passes through $285.60 \mathrm{~cm}$ of water of index $1.3330$, then through $15.40 \mathrm{~cm}$ of glass of index $1.6360$, and finally through $174.20 \mathrm{~cm}$ of oil of index $1.3870 .$ Find to three significant figures $(a)$ each of the separate optical paths and $(b)$ the total optical path.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Index of Refraction

The index of refraction of a medium is a dimensionless number that indicates how much the speed of light is reduced compared to its speed in a vacuum. It is a fundamental property that governs how light propagates, bends, or slows down when passing through different materials.

Optical Path Length

The optical path length is a concept in optics that quantifies the effective distance a light ray travels in a medium by taking into account the index of refraction. It is calculated by multiplying the physical distance traversed by the medium’s refractive index, reflecting the phase change of the light over that distance.

Physical Distance

Physical distance refers to the actual geometric length or thickness of a material through which light travels. It is the measurable distance over which the light moves before being affected by the medium’s optical properties.

Additivity of Optical Paths

The additivity of optical paths means that when light passes through several consecutive media, the total optical path length is the sum of the optical path lengths in each individual medium. This principle is crucial when calculating the overall phase shift experienced by the light across multiple layers.

Transcript

Please give Ace some feedback