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A beam of light has a wavelength of 650 nm in vacuum. What is the wavelength of these waves in the liquid whose index of refraction at this wavelength is 1.47?
  • a)
    472nm
  • b)
    442nm
  • c)
    462nm
  • d)
    452nm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A beam of light has a wavelength of 650 nm in vacuum. What is the wave...
We know that,
Wavelength of light in a material:
λ= λ0/n
where, λ=wavelength of material, λ0=wavelength of light in vacuum,
n=index of refraction of material.
So, 650x10-9m/1.47=442.177nm.
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Most Upvoted Answer
A beam of light has a wavelength of 650 nm in vacuum. What is the wave...
Calculation of wavelength in liquid

Given:
Wavelength of light in vacuum (λ0) = 650 nm
Index of refraction of liquid (n) = 1.47

To find:
Wavelength of light in the liquid (λ)

Solution:
The relationship between the wavelength of light in vacuum and the wavelength of light in a medium is given by:

n = λ0

where n is the refractive index of the medium.

Rearranging the above equation, we get:

λ = λ0/n

Substituting the given values, we get:

λ = 650 nm / 1.47

λ = 442 nm

Therefore, the wavelength of the light in the liquid is 442 nm. Hence, option (B) is the correct answer.
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Community Answer
A beam of light has a wavelength of 650 nm in vacuum. What is the wave...
Ratio of wavelength of vacuum to medium is equal to refractive index of medium
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A beam of light has a wavelength of 650 nm in vacuum. What is the wavelength of these waves in the liquid whose index of refraction at this wavelength is 1.47?a)472nmb)442nmc)462nmd)452nmCorrect answer is option 'B'. Can you explain this answer?
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