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Question: Answered & Verified by Expert
A mixture of Yellow light of wavelength 580nm and blue light of wave length 450nm is incident normally on an air film of thickness $2.9 \times 10^{-4} \mathrm{~mm}$. The colour of reflected light is
PhysicsWave OpticsAP EAMCETAP EAMCET 2020 (23 Sep Shift 1)
Options:
  • A Red
  • B Blue
  • C Violet
  • D Yellow
Solution:
1529 Upvotes Verified Answer
The correct answer is: Yellow

Using the bragg's law the path difference for first reflected light, 

The thickness of film is d=2.9×10-4 mm

The angle between the incident ray and film is 90°

Therefore, 

nλ=2dsinθλ=2dsinθ=2×2.9×10-4 mm×sin90°λ=5.8×10-7 m=580 nm

The wavelength obtained is corresponding to Yellow light.

Thus, the colour of reflected light is, Yellow.

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