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. : "Ray-Optics"

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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Ray Optics: Refraction

Q- An object is placed 25 cm in air from a concave refracting surface. The surface has a radius of curvature of 5 cm, and the refractive index is 1.70. Determine the refracted image position and orientation.

Solution;

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Ray Optics

Q- Two convex lenses are separated by the sum of their focal lengths. The first lens has a focal length of 150cm, while the second has a focal length of 120 cm. If a 10 cm high object is placed 440 cm from the first lens, determine the final image position relative to the 150 cm lens, the final imag…

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Ray Optics: Total internal reflection

Q- A blue light point source is placed at the bottom of a 15 foot deep swimming pool, filled with a liquid of refractive index 2.3. Determine the area of the blue circular light patch seen on the surface of the liquid.

Solution:

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Ray Optics

Q- An object is placed 58 cm from a concave mirror of radius 33 cm.

(a) Find the location of the image.

(b) What is the magnification of the mirror?

Solution:

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Ray Optics: Hyperopia

Q- The minimum focal length of the eye lens is f = 2.8 cm and the distance between the lens and retina is 3.00 cm.

a) At what distance from the retina the image of an object at 25 cm from the eye lens is formed?

b) What type of lens is required to make the image of the object on retina?

c) What i…

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Refraction of light

Q- A flint glass plate (n = 1.66) rests on the bottom of an aquarium tank. The plate is 8.00 cm thick and is covered with a layer of water (n = 1.33) 12.0 cm deep. Calculate the apparent thickness of the plate as viewed from straight above the water.

Solution:

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Combination of lenses

Q- A convex and a concave lens, each of focal length 10 cm are placed at a distance of 10 cm from each other. An object is placed at a distance of 20 cm in front of the convex lens. Find the position of final image and discuss the properties of the final image.

Solutions:

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Combination of lenses

Q- Two converging lenses, each with focal length 20 cm are separated by a distance of 60 cm. Calculate the location of the final image of an object placed 90 cm in front of the first lens. Describe the properties of the image. Calculate the overall magnification.

Solution:

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Convex Lens

Q- The projection lens in a certain slide projector is a single thin lens. A slide 24.0 mm high is to be projected so that its image fills a screen 1.80 m high. The slide to screen distance is 3.00m.

a) Determine the focal length of the projection lens.

b) How far from the slide should the lens of…

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Reflection of Light

Q- A person stands 4.0 meters in front of a floor-to-celing mirror. Her eyes are 1.9 meters above the floor. She sees the reflection of light from her shiny toe of shoe.
a) At what angle of incident must the light from the toe of her shoe strike the mirror so the light will reach her eyes?
b) How hi…

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Optical Fiber

(On request- Pradeep)

Q- Find the maximum angle of incidence θ1 of a ray on the plane surface that would propagate through an optical fiber that has a core index of refraction of 1.499, a core radius of 44.00 µm, and a cladding index 1.496.

Solution:

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Refraction: Prism

Q- A triangular glass prism with apex angle 60 degree has refractive index 1.50. Find:

a) The angle of incident on the first surface so that the light will pass symmetrically through the prism.

b) The angle of deviation for this symmetric refraction.

c) The angle of deviation if the angle of inci…

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Reflection

Q- (On request- Arvind)

Solution:

Interference of light

Q- In a double slit experiment the distance between the slits is 5.00mm and the slits are 1.0m from the screen. Two interference patterns can be seen on the screen: one due to the light with the wavelength 480nm and the other due to the light with wavelength 600nm.  What is the separation on the scr…

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Refraction

Q1- A ray of sunlight hits the ice on a frozen lake at 600 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 of water = 1.333 and that of ice = 1.039.

Q2- A convergin…

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