A flashlight is held at the edge of a swimming pool at a height h = 2.4 m such that its beam makes an angle of theta = 55 degrees with respect to the water's surface. The pool is d = 1.7 m deep and the index of refraction for air and water are n_{f} = 1 and n_{2} = 1.33 respectively. What is the horizontal distance , D , from the edge of the pool to the point in the bottom of the pool where the light strikes
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- A light beam is incident from air at 0₂ = 45° on the top face AB of a prism. The other two faces of the prism (AC and BC) are partially submerged into a liquid with refractive index n₁ = √3/2. The index of refraction of the prism is np = √3. The beam of light emerges from the prism parallel to the prism- liquid interface BC. Determine the prism apex angle at point B. 0₂ 8 = 15.0° 0 = 20.9° 9=30.0° = 45.0° C A np = na = 1 √3 0 n₁ = √3/2An object is placed 10.1 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 8 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 25 mm from the center of the lens.The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n = 1.02.) e₁ n = 1.60 02 n = 1.40 n = 1.20 MA (a) If ₁ = 28.0°, what is the angle 2 of the emerging beam? o 1 (b) What is the smallest incident angle ₁ to have total internal reflection at the surface between the medium with n = 1.20 and the medium with Па = 1.02?
- After a long day of driving you take a late-night swim in a motel swimming pool. When you go to your room, you realize that you have lost your room key in the pool. You borrow a powerful flashlight and walk around the pool, shining the light into it. The light shines on the key, which is lying on the bottom of the pool, when the flashlight is held 1.2 m above the water surface and is directed at the surface a horizontal distance of 1.5 m from the edge. If the water here is 4.0 m deep, how far is the key from the edge of the pool? (Given refractive index of water is = 1.33) 1.5 m 1.2 m 4.0 mA layer of benzene (n = 1.50) that is 4.20 cm deep floats on water (n = 1.33) that is 5.70 cm deep. What is the apparent distance from the upper benzene surface to the bottom of the water when you view these layers at normal incidence?X rays are typically used to kill off cancer cells, however an issue some radiologists run into is the damage an x-ray may do to surrounding tissue. Because of this, accuracy plays a key role in radiation therapy. Suppose you are a medical physicist, and you have been given the task of choosing a medium with a proper index of refraction to bend the x rays such that they only hit the tumor. Suppose you know that the x ray comes in at an angle of 20 degrees with respect to the normal of your second medium. You know the tumor expands out to 5 degrees on either side of the normal what is the minimum index of refraction needed for the x ray to hit the tumor
- A ray of light is incident at angle ?θ = 59° on the side of two stacked transparent blocks. The bottom block has index of refraction ?1n1 = 1.41. The ray enters the top block at angle ?ϕ = 40.6°. What is the index of refraction ?2n2 of the top block? Note: Angles may not be drawn to scale.Horizontal rays of red light (A = 660 nm, in vacuum) and violet light (A = 410 nm, in vacuum) are incident on the flint-glass prism shown in the drawing. The indices of refraction for the red and violet light are nred = 1.662 and nviolet = 1.698. The prism is surrounded by air. What is the angle of refraction for (a) red ray, (b) violet ray as it emerges from the prism? 25.0° (a) Number (b) Number i i Units Units Red and violet light 90° 90.0⁰An object is placed 9.50 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 4 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 23 mm from the center of the lens.
- The critical angle for total internal reflection within a fiber optic cable is θC = 24.1°. What is the index of refraction (n) for the material it's made from?You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 51.0° when submerged in carbon tetrachloride, which has an index of refraction of 1.461? (b) What would the critical angle be for this substance in air?Three sheets of plastic have unknown indices of refraction.Sheet 1 is placed on top of sheet 2, and a laser beam is directed unto the sheets from above so that it strikes the interface at an angle of 26.5 degrees with the normal. The refracted beam in sheet 2 makes an angle of 31.7 degrees with the normal. The experiment is repeated with sheet 3 on top of sheet 2, and with the same angle of incidence, the refracted beam makes an angle of 36.7 degrees with the normal. If the experiment is repeated again with sheet 1 on top of sheet 3, determine the expected angle of refraction in sheet 3?. Assume the same angle of incidence.