If the wavelength of light in vacuum is 600 nm, what is its wavelength in water

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Question: If the wavelength of light in vacuum is 600 nm, what is its wavelength in water (n = 1.33)? (2023)

Options:

Correct Answer: 450 nm

Exam Year: 2023

Solution:

Wavelength in medium = Wavelength in vacuum / n. Thus, λ = 600 nm / 1.33 ≈ 450 nm.

If the wavelength of light in vacuum is 600 nm, what is its wavelength in water (n = 1.33)? (2023)

If the wavelength of light in vacuum is 600 nm, what is its wavelength in water (n = 1.33)? (2023)

Step 1: Understand that the wavelength of light changes when it moves from one medium (like vacuum) to another medium (like water).
Step 2: Identify the given values: the wavelength in vacuum is 600 nm and the refractive index of water (n) is 1.33.
Step 3: Use the formula to find the wavelength in the medium: Wavelength in medium = Wavelength in vacuum / n.
Step 4: Substitute the values into the formula: Wavelength in water = 600 nm / 1.33.
Step 5: Perform the division: 600 nm divided by 1.33 gives approximately 450 nm.
Step 6: Conclude that the wavelength of light in water is approximately 450 nm.

Refraction of Light – Understanding how the wavelength of light changes when it passes from one medium to another, specifically using the refractive index.
Wavelength Calculation – Applying the formula for calculating the wavelength of light in different media based on the refractive index.