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The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness, is one. The thickness of the air column is
(Refractive index of air μa = 1.0003 ; Wavelength of yellow light in vacuum 6000 Å )
  • a)
    1.8 mm
  • b)
    2 mm
  • c)
    2 cm
  • d)
    2.2 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The difference in the number of wavelengths, when yellow light propaga...
Let λa and λ be the wavelengths of yellow light in air and vacuum respectively and va and c be their respective speeds in air and vacuum.
Since the frequency of light is the same in both media, we have


Now, if t is the thickness of each columm, then the number of wavelengths in the two media are

Given μ a = 1.0003 and λ = 6000 Å = 6000 x 10 − 8 cm. Using these values in (3), we have
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The difference in the number of wavelengths, when yellow light propaga...
Is 1.0003)
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The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness, is one. The thickness of the air column is(Refractive index of air μa = 1.0003 ; Wavelength of yellow light in vacuum 6000 )a)1.8 mmb)2 mmc)2 cmd)2.2 cmCorrect answer is option 'B'. Can you explain this answer?
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