Light travels from crown glass, with a refractive index of 1.52, into water, having a refractive index of 1.33? The critical angle for this interface is closest to which one of the following angles? 41° 53° 61°
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A: θ1 = 30.20 θ2 = 19.360 n1 = 1 λ = 632.8 nm
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- A laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refracted to 19.14° to the vertical, what is the index of refraction of the syrup solution?(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution. nm(c) Find its frequency in the solution. Hz(d) Find its speed in the solution. m/sA light beam coming from an underwater spotlight exits the water ( n= 1.33) at an angle of 55.0. At what angle of incidence did it hit the air-water interface from below the surface?Light is incident on water(n=1.33) from air (n=1.001) at an angle of 34°. What is the angle of refraction?
- A beam of light containing red (660 nm) and violet (410 nm) wavelengths travels from air, through a flat piece of crown glass 2.26 cm thick, and then back to air. (a) If the beam has an angle of incidence of 26.6° in air, determine the angle at which the two colors of light emerge from the crown glass. The index of refraction respectively for red and violet light in crown glass is 1.512 and 1.530. (Enter a number to three decimal places.) red ° violet ° (b) Determine the distance separating the red and violet light as it emerges from the glass.The absolute index of refraction for a substance is 2.0. In this substance what is the critical angle to get total internal reflection/refraction for light incident on a boundary with air? Note: speed of light in a vacuum is c = 3x108 m/sUsing filters, a physicist has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of 0, = 43.8°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n 400 nm = 1.53 n 500 nr = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) O400 nm (ii) O500 nm (iii) O650 n O nm
- A beam of light in air is incident at an angle of 25° to the surface of a rectangular block of clear plastic( n=1.5).The light beam first passes through the block and reemerges from the opposite side into air, at what angle normal to that surface?Air has an index of refraction of 1.00. Water has an index of refraction of 1.33. Consider a pool of water that is perfectly calm and 3.21 meters deep. A ray of light (or a laser beam, if you like) enters the water, refracts, and ultimately hits the bottom of the pool. Find the distance between the point where the light enters the water and the point where the light hits the bottom of the pool if the angle between the ray in air and the surface of the pool is 46.4 degrees. Answer in meters.Red light is incident in air on a 30° -60° - 90 ° prism as shown. The incident beam is directed at an angle of ₁ = 40.20 with respect to the horizontal and enters the prism at a height h = 20 cm above the base. The beam leaves the prism to the air at a distance d = 54.2 along the base as shown. 45.66 1.36 30⁰ 1) What is 2, the angle the beam in the prism makes with the horizontal axis? 71.9 d degrees Submit 2) What is n, the index of refraction of the prism for red light? dviolet d Submit Submit 02 3) What is 3, the angle the transmitted beam makes with the horizontal axis? h degrees Submit 03 degrees Submit (+) 4) What is 41,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? degrees Submit + + 5) The red beam is now replaced by a violet beam that is incident at the same angle 1 and same height h. The prism has an index of refraction nviolet = 1.46 for violet light. Compare dviolet, the exit distance for…
- A beam of light passes through a .3 block of glass 10.0 cm thick, then through water for a distance of 30.5 cm, and finally through another block of glass 5.0 cm thick. If the refractive index of both pieces of glass is 1.525 and of water is 1.333, .find the total optical pathA light beam containing red and violet wavelengths is incident on a slab of quartz at an angle of incidence of 56. The index of refraction of quartz is 1.455 at 660 nm (red light), and its index of refraction is 1.468 at 410 nm (violet light). Find the dispersion of the slab, which is defined as the difference in the angles of refraction for the two wavelengths. 1.31º 1.05º 0.35º 0.50ºA laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refracted to 19.20° to the vertical, what is the index of refraction of the syrup solution? (b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution. nm (c) Find its frequency in the solution. Hz (d) Find its speed in the solution. m/s