Question

A light ray in air, indicated by the arrow, is incident on a convex glass lens at an angle of 31° to the normal. a) Some of the light will be reflected from the lens. At what angle will it be reflected? b) Find the angle at which the light ray is refracted when entering the lens. (5 points) c) Find the angle at which the ray is incident on the other side of the lens and the angle of refraction when the light ray leaves the lens on that side. For this part, assume the two sides of the lens are sides of an equilateral triangle. Draw the path of the light through the lens and label the angles with their values. (15 points) d) Assume the lens and light source are placed in water (n=1.33). Repeat parts (b) and (c) for this situation. Is the light more, or less refracted? e) Assume now that the initial angle of incidence is changed to 17° while the lens and light source are in air. What happens to the light when it strikes the opposite interface in this case? Calculate the values then state the behavior of the light. f) Find the critical angle for part (e) and for part (e) if the system is placed in water. When analyzing lenses and lens arrangements, it is useful to treat the lenses as “thin” lenses. That is, as if they have no thickness. We can then draw a simple ray-tracing diagram to determine the position and orientation of an image formed by the lens(es) under consideration. g) Consider, again, a convex (converging) lens as above. If an object is 13cm in front of the lens and an image forms 16cm from the lens on the other side, find the focal length of the lens. First, draw and label the raytracing diagram using an upward-pointing arrow as the object. You only need to draw two rays. h) Assume the object is moved to a position of f-2cm, find the new position of the image, its orientation and magnification. Draw the ray-tracing diagram for this situation. i) Consider a concave (diverging) lens. Using the negative of the focal length found in part (g), find the new image position and magnification. Is the image real or virtual? Draw the ray-tracing diagram.

Answer #1

6.) A light ray traveling in air, n = 1.0, is incident (angle of
incidence = 45 o ) upon a boundary with another medium,
n = 1.2, therefore, the light ray transmitted into the second
medium is refracted as follows;
a.) transmission angle is less than 45
o
b.) transmission angle is equal to 45
o
c.) transmission angle is greater than 45
o
d.) transmission angle is unknowable
Answer__________
7.) A light beam passes...

When a light ray is incident from air (n=1) on a flat surface of
glass (n=1.5) which of the following is true?
A. The reflected angle is larger than the incident angle
B. The reflected ray is the same as the incident angle
C. The refracted angle is the same as the incident angle
D. The refracted ray is larger than the incident ray
E. B & C
F. A & D

Consider a convex lens with a focal length of 5.00 cm. An object
is located at 12.50 cm. The object is 5.50 cm tall. Draw the ray
diagram to scale. Determine the image distance, the height of the
image, the magnification and the characteristices of the image.

An object 8 cm high is placed 12 cm to the left
of a converging lens of focal length 8 cm. A
second converging lens of focal length 6 cm is
placed 36 cm to the right of the first lens. Both
lenses have the same optical axis. Find the position, size and
orientation of the image produced by the two lenses in combination.
Confirm the validity of your result by drawing a ray-tracing
diagram.

A convex lens with a focal length of magnitude 4.0 cm and a
concave lens with a focal length of magnitude 10 cm are separated
by a distance of 18 cm as shown in the diagram below. The convex
lens is on the left, and the concave lens is on the right. An
object is then placed 6.0 cm to the left of the convex lens.
Locate the final image. State the distance of the final image
to the right...

A ray of light in air is incident at an angle of 25.0° on a
glass slide with index of refraction 1.57.
(a) At what angle is the ray refracted?
° from the normal
(b) If the wavelength of the light in vacuum is 560 nm, find its
wavelength in the glass.
nm
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6. A ray of light travels from a transparent material to air.
The beam is refracted at an angle of 25º to the normal. The beam
travels at a speed of 2.20 x 108 m/s in the material. Determine the
angle of incidence.
7. A ray of light travels from a transparent material to air.
The beam is refracted at an angle of 25º to the normal. The beam
travels at a speed of 2.20 x 108 m/s in the...

An object is placed in front of a converging lens (convex lens)
with a radius of curvature of 4.88 cm and focal length of 2.44 cm.
An image is formed the object. (a) Calculate how far is the lens
from the object if the image is real. (b) How far is image from the
lens? (c) is the image upright or inverted, and is the image
magnified or diminished? (d) Draw the ray diagram to confirm your
result prediction.

An object is located to the left of a convex lens whose focal
length is f=34 cm.
The magnification (m) produced by the lens is 4.0. Find an
expression for
magnification in terms of “f” and object distance (do). To
increase the magnification to
5.0, calculate the distance through which the object should be
moved. Also explain
your result with free hand ray diagram. At what position of
the object the
magnification becomes infinity?

5. (20 pts) Geometric Optics
a) True or False? (i) When a light ray from a medium hits the
surface of a second medium, the ray is refracted towards the normal
if the speed of light in the second medium is less compared to the
speed of light in the first medium. _____(ii) When a light ray
passes through a lens it bends towards the thicker side of the
lens.______ (ii) The image formed by a divergent lens can never...

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