ap physics b lecture notes chapter 23 mirrors and lenses

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AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

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Page 1: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

AP Physics B Lecture Notes

Chapter 23Mirrors and Lenses

Page 2: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

23-01 Flat Mirrors

23-02 Images Formed by Spherical Mirrors

23-03 Concave Mirrors and Sign Conventions

23-06 Thin Lenses

Mirrors and Lenses

Sections

Page 3: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Flat Mirrors

A

B

2A

2B

What length is required for a full length mirror?

Page 4: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Flat Mirrors

Multiple Images

Page 5: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Flat Mirrors

Multiple Images

1n360o

Page 6: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Images Formed by Spherical Mirrors

Area of Convergence

Page 7: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Images Formed by Spherical Mirrors

Area of Convergence

Page 8: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

Principle Focal Point 2R

f

Images Formed by Spherical Mirrors

Page 9: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A light ray, traveling parallel to a concave mirror's axis, strikes the mirror's surface near its midpoint. After reflection, this ray

(A) again travels parallel to the mirror's axis.

(B) travels at right angles to the mirror's axis.

(C) passes through the mirror's center of curvature.

(D) passes through the mirror's focal point.

Page 10: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

Light Source at the Focal Point

Produces Parallel Rays of Light

Images Formed by Spherical Mirrors

Page 11: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A light ray, traveling obliquely to a concave mirror's surface, crosses the axis at the mirror's focal point before striking the mirror's surface. After reflection, this ray

(A) travels parallel to the mirror's axis.

(B) travels at right angles to the mirror's axis.

(C) passes through the mirror's center of curvature.

(D) passes through the mirror's focal point.

Page 12: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

Real Image

Images Formed by Spherical Mirrors

Page 13: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

q

p

f

h

h’

ffq

h'h

Images Formed by Spherical Mirrors

Page 14: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

h

h’

q

p

f

o

i

o

id

d

h

h

Images Formed by Spherical Mirrors

Page 15: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

pq

ffq

q1

p1

f1

qp

pqf

Mirror Equation

ffq

h'h

pq

h'h

Images Formed by Spherical Mirrors

Page 16: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

Virtual Image

Images Formed by Spherical Mirrors

Page 17: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

fqf

h'h

p

f

hh’

q

Images Formed by Spherical Mirrors

Page 18: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirror

f

hh’

p q

pq

h'h

Images Formed by Spherical Mirrors

Page 19: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

pq

fqf

q1

p1

f1

fqf

h'h

pq

h'h

q1

p1

f1

Images Formed by Spherical Mirrors

Page 20: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A object is placed between a convex lens and its focal point. The image formed is

(A) virtual and inverted.

(B) virtual and erect.

(C) real and erect.

(D) real and inverted.

Page 21: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

A mirror at an amusement park shows an upright image of any person who stands 1.4 m in front of it. If the image is three times the person’s height, what is the radius of curvature?

Images Formed by Spherical Mirrors (Problem)

Page 22: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A light ray, traveling obliquely to a concave mirror's axis, crosses the axis at the mirror's center of curvature before striking the mirror's surface. After reflection, this ray

(A) travels parallel to the mirror's axis.

(B) travels at right angles to the mirror's axis.

(C) passes through the mirror's center of curvature.

(D) passes through the mirror's focal point.

Page 23: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

If you stand in front of a concave mirror, exactly at its focal point,

(A) you will see your image at your same height.

(B) you won't see your image because there is none.

(B) you will see your image, and you will appear smaller.

(C) you will see your image and you will appear larger.

Page 24: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Convex Mirror

Images Formed by Spherical Mirrors

Page 25: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

f

p q

Images Formed by Spherical Mirrors

Convex Mirror

Page 26: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

p q

f

hh’

fqf

h'h

Images Formed by Spherical Mirrors

Convex Mirror

Page 27: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

p q

hh’

pq

h'h

Images Formed by Spherical Mirrors

Convex Mirror

Page 28: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

pq

fqf

fqf

h'h

pq

h'h

p1

f1

q1

q1

p1

f1

Images Formed by Spherical Mirrors

f

p q

Page 29: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

If you stand in front of a convex mirror, at the same distance from it as its radius of curvature,

(A) you won't see your image because there is none.

(B) you will see your image at your same height.

(C) you will see your image and you will appear smaller.

(D) you will see your image and you will appear larger.

Page 30: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 18 cm behind the mirror. What kind of mirror is it, and what is its radius of curvature?

Images Formed by Spherical Mirrors (Problem)

Page 31: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A single convex spherical mirror produces an image which is

(A) always virtual.

(B) always real.

(C) real only if the object distance is less than f.

(D) real only if the object distance is greater than f.

Page 32: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Mirrors and Sign Conventions

Page 33: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Thin lenses are those whose thickness is small compared to their radius of curvature. They may be either converging (a) or diverging (b).

Thin Lenses

Page 34: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

Lenses that are thicker at the center

(A) spread out light rays.

(B) bend light rays to a point beyond the lens.

(C) have no effect on light rays.

(D) reflect light rays back.

Page 35: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Double Convex Lens

Focal Point

Thin Lenses

Page 36: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A light ray, traveling parallel to the axis of a convex thin lens, strikes the lens near its midpoint. After traveling through the lens, this ray emerges traveling obliquely to the axis of the lens

(A) such that it never crosses the axis.

(B) crossing the axis at a point equal to twice the focal length.

(C) passing between the lens and its focal point.

(D) passing through its focal point.

Page 37: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Real Image

Double Convex Lens

Thin Lenses

Page 38: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

h

Similar Triangles

Double Convex Lens

f f

p q

h’

ffq

h'h

Thin Lenses

Page 39: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Convex Lens

h

h’f f

p

Similar Triangles

q

pq

h'h

Thin Lenses

Page 40: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

pq

ffq

Lens Equation

Double Convex Lens

ffq

h'h

pq

h'h

q1

p1

f1

Thin Lenses

Page 41: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Convex Lens

f f

q

h

Similar Triangles

p

h

ffq

h'h

Thin Lenses

Page 42: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Convex Lens

f f

hh

Similar Triangles

p

q

pq

h'h

Thin Lenses

Page 43: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

pq

ffq

Convex Lens

Lens Equation

ffq

h'h

pq

h'h

q1

p1

f1

Thin Lenses

f f

q

h

p

h

Page 44: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

A convex lens has a focal length f. An object is placed between f and 2f on the axis. The image formed is located

(A) at 2f.

(B) between f and 2f.

(C) at f.

(D) at a distance greater than 2f from the lens.

Page 45: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Thin Lenses (Problem)

A converging lens has a focal length of 20.0 cm.

a) Locate the images for object distances of 40.0 cm,

b) Locate the images for object distances of 20.0 cm.

c) Locate the images for object distances of 10.0 cm.

Page 46: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Virtual Focal Point

Concave Lens

Thin Lenses

Page 47: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Lens

Virtual Image

Thin Lenses

Page 48: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Lens

h Similar Trianglesh

h’

p

f

q

fqf

h'h

o

Thin Lenses

Page 49: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Concave Lens

Similar Triangles

h

h’

p

f

q

pq

h'h

Thin Lenses

Page 50: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

pq

fqf

Concave Lens

Lens Equation

fqf

h'h p

qh'h

q1

p1

f1

Thin Lenses

Page 51: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses

Chapter 23 Mirrors and Lenses

The images formed by concave lenses

(A) are always real.

(B) are always virtual.

(C) could be real or virtual; it depends on whether the object distance is smaller or greater than the focal length.

(D) could be real or virtual, but always real when the object is placed at the focal point.

Page 52: AP Physics B Lecture Notes Chapter 23 Mirrors and Lenses