Download Pre AP Physics - Mirrors WS

Pre AP Physics – Light and Optics WS
Mirrors:
1. A concave spherical mirror has a focal length of 10.0 cm. Locate the image of a pencil
that is placed upright 30.0 cm from the mirror. Find the magnification of the image. Is the
image real/virtual, inverted/upright, reduced/enlarged? [15 cm, -0.5]
2. Find the image distance and magnification of a pencil that is placed upright 10.0 cm from
the concave spherical mirror in question #1. Is the image real or virtual? Is the image
inverted or upright? Is the image real/virtual, inverted/upright, reduced/enlarged? [no
image]
3. Find the image distance and magnification of a pencil that is placed upright 5.0 cm from
the concave spherical mirror in question #1. Is the image real or virtual? Is the image
inverted or upright? Is the image real/virtual, inverted/upright, reduced/enlarged? [-10
cm, 2.0]
4. A concave shaving mirror has a focal length of 33 cm. Calculate the image position of a
cologne bottle placed in front of the mirror at a distance of 93 cm. Calculate the
magnification of the image. Is the image real/virtual, inverted/upright, reduced/enlarged?
[-0.55]
5. A concave makeup mirror is designed so that a person 25.0 cm in front of it sees an
upright image at a distance of 50.0 cm behind the mirror. What is the radius of curvature
of the mirror? What is the magnification of the image? Is the image real/virtual,
inverted/upright, reduced/enlarged? [R = 100 cm, 2.00]
6. A pen placed 11.0 cm from a concave spherical mirror produces a real image 13.2 cm
from the mirror. What is the focal length of the mirror? What is the magnification of the
image? If the pen is placed 27.0 cm from the mirror, what is the new position of the
image? What is the magnification of the new image? Is the image real/virtual,
inverted/upright, reduced/enlarged? [6 cm, -1.2, 7.71 cm, -0.286]
7. An upright pencil is placed in front of a convex mirror with a focal length of 8.00 cm. An
upright image 2.50 cm tall is formed 4.44 cm behind the mirror. Find the position if the
object, the magnification of the image and the height of the pencil. Is the image
real/virtual, inverted/upright, reduced/enlarged? [9.978 cm, 0.445, 5.63 cm]
8. The image of a crayon appears to be 23.0 cm behind the surface of a convex mirror and
is 1.70 cm tall. If the mirror’s focal length is 46.0 cm, how far in front of the mirror is the
crayon positioned? What is the magnification of the image? Is the image real/virtual,
inverted/upright, reduced/enlarged? How tall is the actual crayon? [46 cm, 0.50, 3.4 cm]
9. A convex mirror with a focal length of 0.25 m forms a 0.080 m tall image of an
automobile at a distance of 0.24 m behind the mirror. What is the magnification of the
image? Where is the car located and how tall is it? Is the image real/virtual,
inverted/upright, reduced/enlarged? [6m, 0.04, 2 m]
10. A convex mirror with focal length 33 cm forms an image of a soda bottle at a distance of
19 cm behind the mirror. If the height of the image is 7.0 cm, where is the object located
and how tall is it? What is the magnification of the image? Is the image real/virtual,
inverted/upright, reduced/enlarged? [44.79 cm, 16.50 cm, 0.424]
Lenses:
**Make sure your calculator is in DEGREES!!!**
11. A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air
strikes a smooth, flat slab of crown glass at an angle of 30.0o to the normal. Index of
refraction of crown glass is 1.52. Find the angle of refraction, Θr. [19.2 degrees]
12. Find the angle of refraction for a ray of light that enters a bucket of water from air at an
angle of 25.0o to the normal. (nwater = 1.333) [18.5 degrees]
13. A ray of light of vacuum wavelength 550 nm traveling in air enters a slab of transparent
material. The incoming ray makes an angle of 40o with the normal and the refracted ray
make an angle of 26.0o with the normal. Find the index of refraction of the transparent
material. [1.47]
14. For each of the following cases will that light rays be bent toward or away from the
normal?
a. ni > nr, where Θi = 20o
b. ni < nr, where Θi = 20o
c. from air to glass with an angle of incidence of 30o
d. from glass to air with an angle of incidence of 30o
15. An object is placed 30 cm in front of a converging lens and then 12.5 cm in front of a
diverging lens. Both lenses have a focal length of 10.0 cm. For both cases, find the
image distance and the magnification. Is the image real/virtual, inverted/upright,
reduced/enlarged? [15 cm, -0.5; -5.56 cm, +0.445]
16. An object is placed 20 cm in front of a converging lens of focal length 10.0 cm. Find the
image distance and magnification. Is the image real/virtual, inverted/upright,
reduced/enlarged? [20 cm, -1, R, I]
17. An object placed 20 cm in front of a diverging lens of focal length 10 cm. Find the image
distance and the magnification. Is the image real/virtual, inverted/upright,
reduced/enlarged? [-6.67 cm, 0.33, V, U]
18. Fill in the missing values for the table:
f
6.0 cm
2.9 cm
-6.0 cm
so
si
Converging Lens
-3.0 cm
7.0 cm
Diverging Lens
4.0 cm
5.0 cm
M
0.50
Ray Diagram Practice: square on principal axis = F, little dot on principal axis = C
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