Total Internal Reflection: Light and Refraction

Total Internal Reflection

• A point source of light is placed 4 m below the water surface in a medium with a refractive index of 5/3.
• Placing a disc on the water surface can block light from escaping the water.
• To completely block the light, the minimum diameter of the disc must be 6 m.
• A ray of light incident on a glass cube experiences total internal reflection in the vertical plane.
• The refractive index of the glass is determined to be √3/√2.
• Real and apparent depth of a vessel filled with water does not depend on total internal refection.
• A beam of light consisting of red, green, and blue colors is incident on a right-angled prism.
• The refractive indices for red, green, and blue wavelengths are 1.39, 1.44, and 1.47, respectively.
• The prism separates the red color part from the green and blue colors.
• In total internal reflection, when the angle of incidence equals the critical angle, the angle of refraction is 90°.
• In hot summer, as one moves upwards, the refractive index of air increases.
• Total internal reflection is possible when a light ray travels from glass to water.
• If light travels from a medium where its speed is half that in air, total internal reflection occurs at an incidence angle of 30°.
• The refractive index of the cladding in an optical fiber is less than that of the core.
• With a critical angle of 42° for glass-air, the speed of light in glass is calculated to be 2 x 10^8 m/s.
• The critical angle of a diamond with a refractive index of 2.42 is 24.41.
• If the critical angle for total internal reflection in a diamond is 24.5°, its refractive index is 2.41.
• For liquids A and B with wavelengths of light at 3500 Å and 7000 Å, the critical angle of liquid A with respect to liquid B is 30°.
• If the speed of light in a rarer medium is double that in a denser medium, the critical angle for total internal reflection is 30°.
• Total internal reflection is responsible for the glittering of a diamond.
• Doctors use optical fibers, based on the principle of total internal reflection, to observe inner body parts.
• Given refractive indices n₁ and n₂ for the core and cladding, the maximum acceptance angle 0 = sin⁻¹√((n₁²-n₂²)).
• For a medium with a critical angle of 60°, the refractive index is √3.
• If the wavelength of monochromatic light in a vaccum is λ, the ratio of wavelength of the incident and refreacted wave is μ:1
• When a convex lens is immersed in a liquid with the same refractive index, its focal length becomes infinite.
• In a prism with liquid on face AC, total internal reflection occurs when the refractive index satisfies n < √3/2.
• A ray of light passes from medium A (refractive index 1.6) to medium B (refractive index 1.5).
• The critical angle of medium A is sin⁻¹(15/16).