Index of Refraction n = index of refraction c = speed of light in a vacuum (3.00 x 108 m/s) v = speed of light in other medium.

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Index of Refraction n = index of refraction c = speed of light in a vacuum (3.00 x 108 m/s) v = speed of light in other medium

Index of Refraction

Index of Refraction

Index of Refraction (page 524) Medium n Vacuum/space and Air 1.00 Ice 1.31 Water (pure) 1.33 Ethyl alcohol 1.36 Quartz 1.46 Vegetable oil 1.47 Olive oil 1.48 Acrylic 1.49 Glass 1.52 Diamond 2.42 Index of Refraction (page 524)

Index of Refraction

Comparing the speed of light normal Speed of light (vacuum) 3.00 x 108 m/s ∠i c Space/vacuum ∠R Medium- glass v Speed of light (glass) 1.97 x 108 m/s Comparing the speed of light

Comparing the Speed of Light

c v Speed of light (vacuum) Speed of light (medium) normal ∠i Space/vacuum ∠R medium v Speed of light (medium)

Index of Refractions Medium n Vacuum/space and Air 1.00 Ice 1.31 Water (pure) 1.33 Ethyl alcohol 1.36 Quartz 1.46 Vegetable oil 1.47 Olive oil 1.48 Acrylic 1.49 Glass 1.52 Zircon 1.92 Diamond 2.42 Index of Refractions

Example 1 The speed of light in ice is 2.29× 10 8 . Calculate the index of refraction.

Example 1 The speed of light in ice is 2.29× 10 8 𝑚/𝑠 . Calculate the index of refraction. 𝑛= 𝑐 𝑣𝑖𝑐𝑒 𝑛= 3.00× 10 8 𝑚/𝑠 2.29× 10 8 𝑚/𝑠 𝑛=1.31

Example 2 Calculate the speed of light in zircon.

Example 2 𝑛= 𝑐 𝑣𝑧𝑖𝑟𝑐𝑜𝑛 𝑣𝑧= 𝑐 𝑛 𝑛𝑣𝑧=𝑐 𝑣𝑧= 𝑐 𝑛 𝑣𝑧= 3.00× 10 8 𝑚/𝑠 1.92 Calculate the speed of light in zircon. Step 1: Rearrange equation to isolate V zircon Step 2: Substitute c and n, and solve for V z 𝑛= 𝑐 𝑣𝑧𝑖𝑟𝑐𝑜𝑛 𝑛𝑣𝑧=𝑐 𝑣𝑧= 𝑐 𝑛 𝑣𝑧= 𝑐 𝑛 𝑣𝑧= 3.00× 10 8 𝑚/𝑠 1.92 𝑣𝑧=1.56× 10 8 𝑚/𝑠

Questions The speed of light in salt (sodium chloride) is 1.96108 m/s. Calculate the index of refraction for sodium chloride. Calculate the speed of light as it is transmitted through olive oil. Light from air is observed to enter a medium with an incident angle of 51° and a refracted angle of 32°. What is the medium? How fast does light travel through the medium? n = 3.00/1.96 v = (3.00/1.48)*10^8 medium is quartz (n = 1.46); v = (3.00/1.46)*10^8