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. : "Ray-Optics"

Ray Optics: Refraction

Q- The drawing shows a glass slab (n = 1.4) with a rectangular cross section. A ray of light strikes the slab at an incident angle of θ1 = 45°, enters the slab, and travels to point P. This slab is surrounded by a fluid with a refractive index n. What is the maximum value of n such that total int…

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Ray Optics: Laser

Q- The laser used in cornea surgery to treat corneal disease is the excimer laser, which emits ultraviolet light with a wavelength of 193 nm in air. The index of refraction of the cornea is 1.376. What are the wavelength and frequency of the light in the cornea? 

Solution:    

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Ray Optics: Refraction

Q- A cube of flint glass sits on a newspaper on a table. By looking into one of the vertical sides of the cube, is it possible to see the portion of the newspaper covered by the glass?

Refractive index of flint glass is m = 1.69

Solution:

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Ray Optics: Refraction

Q- A jewel thief hides a diamond by placing it at the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above the diamond as shown in the figure. The surface of water is smooth and the pool is 2.0m deep. Find the minimum diameter d of raft if it is to p…

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Ray Optics: Refraction

Q- A ray of sunlight hits the ice on a frozen lake at a 560 angle of incident.

(a) At what angle does the refracted ray penetrate the water beneath the ice?

(b) What is the speed of light for the refracted beam in the water?   

(Refractive index: Ice 1.039, Water 1.333) 

Solution:

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Ray Optics: Refraction

Q- An opaque container is 15 cm deep. It contains only a single coin. When looking into the container at a viewing angle of 50o relative to the vertical side of the container, you see nothing on the bottom. When the container is filled with water, you see the coin (from the same viewing angle) on th…

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Ray Optics

Q- A beam of light with red and blue components of wavelengths 670 nm and 425 nm, respectively, strikes a slab of fused quartz at an incident angle of 30o. On refraction, the different components are separated by an angle of 1.31 X 10-3 rad. If the index of refraction of the red light is 1.4925, wh…

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Ray Optics

Q- An object is 14.4 cm in front of a converging lens that has a focal length equal to 14.3 cm. A diverging lens that has a focal length whose magnitude is equal to 1.2 cm is located 20.0 cm in back of the first.

(a) Find the location of the final image and describe its properties.

(b) Draw a ray …

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Ray Optics: Lens

Q- An object 5 cm high is located 73 cm from a converging lens of focal length f1 = 45 cm. A second converging lens of focal length f2 is located 178 cm from the first lens. An image of the object is to be formed on a screen 200 cm from the second lens. What must be the focal length f2 of the second…

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Optics: Angular Resolution

Q- If two point objects close together are to be seen as two distinct objects, the images must fall on the retina on two different cones that are not adjacent. That is, there must be an unactivated cone between them. Assume the separation of the cones is 0.8 µm. Model the eye as a uniform 2.2 cm dia…

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Ray Optics: Lenses

Q- Two converging lenses having focal lengths of f1 = 10.0 cm and f2 = 24.0 cm are placed 50 cm apart, as shown in the figure. The final image is to be located between the lenses, at the position indicated.

(a) How far to the left of the first lens should the object be positioned?

(b) What is the…

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Ray Optics: Concave Lens

Q- A double concave lens of index of refraction 1.45 has radii of magnitudes 31 cm and 21 cm. An object is located 80 cm to the left of the lens. Find the following-

(a) The focal length of the lens

(b)  The location of the image

(c) The magnification of the image

(d) Describe the image.

Solut…

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Ray Optics: Refraction Through Prism

Q- A beam of white light is incident on a glass prism at an angle of θ = 370 with the normal to the surface. The emergent angle for red light is φr = 750 and for violet light is φv = 790.

(a) If the angle of the prism is A = 450, find the refractive index of the glass for red and violet light.

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Ray Optics: Total Internal Reflection

Q- A layer of unknown liquid is held on a flint glass slab with an index of refraction 1.65. A ray of light is falling on the glass liquid interface from below and the critical angle for the interface is 530.

(a) What is the refractive index of the unknown liquid?

(b) If the liquid is removed, wha…

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Ray Optics

Q- A fish is 10 cm from the front surface of a spherical fish bowl of radius 17 cm.

(a) How far behind the surface of the bowl does the fish appear to someone viewing the fish from in front of the bowl?

(b) By what distance does the fish's apparent location change (relative to the front surface o…

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Refraction at Curved Surfaces

Q- A goldfish lives in a 46 cm diameter spherical fish bowl. The fish sees a cat watching it. If the cat's face is 15 cm from the edge of the bowl, how far from the edge does the fish see it as being? (You can ignore the thin glass wall of the bowl.)

Solution:

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Ray Optics: Refraction

Q- A fish in a flat-sided aquarium sees a can of fish food on the counter. To the fish's eye, the can looks to be 30 cm outside the aquarium. What is the actual distance between the can and the aquarium? (You can ignore the thin glass wall of the aquarium.)

Solution:

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Ray optics: Convex Mirror

Q- If the focal length of a convex mirror be written as -|f|, show that the magnification m of an object at a distance d0 from this mirror is given by m = |f|/(d0+|f|). Based on this relation, explain why your nose looks bigger than the rest of your face when looking into a convex mirror.

Solution:

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Ray Optics: Concave Mirror

Q- An object is placed a distance r in front of a wall where r is exactly equals the radius of curvature of a certain concave mirror.

(a) At what distance from the wall the concave mirror to be placed so that a sharp image of the object is formed on the wall?

(b) What is the magnification of this …

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Ray Optics: Reflection and refraction through curved surfaces

Q- A solid glass sphere of radius R and index 1.50 is silvered over one hemisphere. A small object is located on the axis of the sphere at a distance 2R from the pole of the un-silvered hemisphere.  Find the position of the final image formed by the refracting and reflecting surfaces.

Solution:

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