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Total Internal Reflection quiz #1

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Terms in this set (10)

  • In which scenarios is total internal reflection possible for light traveling between two media?
    Total internal reflection is possible when light travels from a medium with a higher refractive index to a medium with a lower refractive index, and the angle of incidence exceeds the critical angle for the boundary between the two media.
  • What is the formula for the critical angle for light traveling inside a rod with refractive index n₁ into a medium with refractive index n₂?
    The critical angle θ_c is given by θ_c = arcsin(n₂ / n₁), where n₁ is the refractive index of the rod (the initial medium) and n₂ is the refractive index of the medium into which the light is passing. Total internal reflection occurs only if n₁ > n₂.
  • What happens to the refracted ray at the critical angle during total internal reflection?
    At the critical angle, the refracted ray travels exactly along the boundary at 90 degrees from the normal. No further refraction into the second medium occurs beyond this angle.
  • How does the angle of refraction change as the angle of incidence increases when light passes from a higher to a lower refractive index?
    As the angle of incidence increases, the angle of refraction also increases and moves further away from the normal. This continues until the critical angle is reached.
  • Why does total internal reflection result in no transmission of light into the second medium?
    Total internal reflection occurs when the angle of incidence exceeds the critical angle, causing all the light to be reflected back into the original medium. No light is transmitted into the second medium in this case.
  • What is a common technological application of total internal reflection mentioned in the video?
    A common application is fiber optics, which use total internal reflection to transmit light signals over long distances without energy loss. This prevents light from leaking out of the cable.
  • How does the refractive index of the second medium affect the critical angle for total internal reflection?
    A higher refractive index in the second medium increases the critical angle. This means light must strike the boundary at a larger angle to achieve total internal reflection.
  • What happens if the angle of incidence is less than the critical angle in a fiber optic cable?
    If the angle of incidence is less than the critical angle, some light will transmit through the boundary and escape the cable. This results in loss of signal strength over distance.
  • Why is it important for the angle of incidence in a fiber optic cable to be greater than the critical angle for both air and water?
    If the angle is greater than the critical angle for both air and water, no light will escape into either medium. This ensures the signal remains intact regardless of the surrounding environment.
  • What would happen if the refractive index of the medium outside the fiber optic cable were greater than that of the cable itself?
    Total internal reflection would not be possible because the critical angle formula would not yield a real value. Light would transmit into the external medium instead of being reflected.