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Zorluk: Çok zorPhysics Fundamentals and Everyday Applications

Which of the following statements regarding everyday optical phenomena and their underlying physical principles are correct?

  1. The formation of a secondary rainbow involves two internal reflections and two refractions of sunlight within raindrops, causing its color sequence to be reversed relative to a primary rainbow.Cevap
  2. B
    The blue color of the clear daytime sky is primarily due to Rayleigh scattering, where the scattered light intensity is inversely proportional to the square of the wavelength (I∝1/λ2I \propto 1/\lambda^2).
  3. Sun dogs (parhelia) and 22∘22^\circ atmospheric halos are produced primarily by the refraction of sunlight passing through hexagonal ice crystals suspended in high-altitude cirrus clouds.Cevap
  4. D
    Optical fibers transmit light energy efficiently via total internal reflection by ensuring that the refractive index of the central core is strictly lower than that of the surrounding cladding.

Cevap

The correct statements are the statement explaining secondary rainbow formation through two internal reflections and refractions with reversed spectral order, and the statement describing sun dogs and halos as the refraction of light through hexagonal ice crystals.
The statements describing secondary rainbow optics and atmospheric ice halos are physically accurate. A secondary rainbow forms after two internal reflections and two refractions inside water droplets, reversing the color order (red inside, violet outside). Sun dogs and 22∘22^\circ atmospheric halos occur when sunlight refracts through hexagonal ice crystals suspended in cirrus clouds at the angle of minimum deviation.

Adım Adım Çözüm

1
Analyze rainbow optics mechanics
Primary rainbows involve 1 internal reflection and 2 refractions. Secondary rainbows involve 2 internal reflections and 2 refractions, which reverses the angular dispersion order of light colors.
Verifies the statement regarding secondary rainbow optics as true.
2
Evaluate atmospheric scattering wavelength dependence
Rayleigh scattering intensity follows I∝1λ4I \propto \frac{1}{\lambda^4}. The statement incorrectly asserts a inverse-square relationship (1/λ21/\lambda^2).
Identifies the atmospheric scattering statement as incorrect due to an incorrect power exponent.
3
Examine ice crystal optical phenomena (halos and sun dogs)
Hexagonal ice crystals act as 60∘60^\circ prisms causing light refraction at a minimum deviation angle of 22∘22^\circ, producing 22∘22^\circ halos and parhelia (sun dogs).
Confirms the sun dog and halo mechanism statement as true.
4
Check conditions for Total Internal Reflection (TIR) in fiber optics
TIR requires light to propagate from a higher refractive index medium to a lower refractive index medium (ncore>ncladdingn_{\text{core}} > n_{\text{cladding}}). The statement claims ncore<ncladdingn_{\text{core}} < n_{\text{cladding}}, which is false.
Determines the optical fiber parameter statement to be false.

Anahtar Kavram

Everyday Wave Optics and Atmospheric Optical Phenomena
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Konular

Physics Fundamentals and Everyday Applications

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