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If the refractive index of a medium is 1.5, what is the wavelength of light in t
If the refractive index of a medium is 1.5, what is the wavelength of light in that medium if the wavelength in vacuum is 600 nm?
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If the refractive index of a medium is 1.5, what is the wavelength of light in that medium if the wavelength in vacuum is 600 nm?
400 nm
600 nm
800 nm
900 nm
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Wavelength in medium = λ/v = λ0/n = 600 nm / 1.5 = 400 nm.
Questions & Step-by-step Solutions
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Q
Q: If the refractive index of a medium is 1.5, what is the wavelength of light in that medium if the wavelength in vacuum is 600 nm?
Solution:
Wavelength in medium = λ/v = λ0/n = 600 nm / 1.5 = 400 nm.
Steps: 6
Show Steps
Step 1: Understand that the refractive index (n) of a medium tells us how much light slows down in that medium compared to vacuum.
Step 2: Know that the wavelength of light in a medium (λ) can be calculated using the formula: λ = λ0 / n, where λ0 is the wavelength in vacuum.
Step 3: Identify the given values: λ0 (wavelength in vacuum) is 600 nm and n (refractive index) is 1.5.
Step 4: Plug the values into the formula: λ = 600 nm / 1.5.
Step 5: Perform the division: 600 nm divided by 1.5 equals 400 nm.
Step 6: Conclude that the wavelength of light in the medium is 400 nm.
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