2014/5/12

Week 7

We’ll start at 7:00

PHYS 1C PROBLEM SESSION COURSE INSTRUCTOR: DR. FRANK WUERTHWEIN

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Quiz Preparation Guidelines: 1. 2. 3. 4. 5.

Do the practice quiz questions Do the assigned homework Bring your own calculator Organize your own cheat sheet Remember your exam number

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Quiz Reminders: 1. The cheat sheet should be letter-sized and used only on one side. 2. You’re not allowed to use someone else’s calculator or cheat sheet during the quiz. 3. Only your Scantron will be collected when you are finished. 3

Check Your Grades Online

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Send Your Feedback Online

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Part I

Practice Questions



A) 6

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Part I

Practice Questions



A) 7

Spherical Mirrors •

Focal Point / Center of Curvature



Ray Diagrams •

Parallel to the principal axis  reflected to the focus



Through the focus  reflected parallel to the principal axis



Through the center of curvature  reflected back on

Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

itself 8

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Spherical Mirrors •

Concave Mirrors •

P < F : Upright , enlarged , virtual



P = F : Impossible to see the image (infinitely faraway)



C < P < F : Inverted , enlarged size , real



P = C : Inverted , same size , real



P > C : Inverted , reduced size , real



Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

Ray diagram is risky in the quiz!

(Why?)

Spherical Mirrors •

Convex Mirrors •

P < |F| : Upright , smaller , virtual



P = |F| : Upright , smaller , virtual



C < P < |F| : Upright , smaller , virtual



P = C : Upright , smaller , virtual



P > C : Upright , smaller , virtual



Ray Diagram  Qualitative



Mirror Equation  Quantitative

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Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

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Ch26

Question 2



(i) a c (ii) e (iii) a c

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Ch26

Question 9

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(C)

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Mirror Equation •

Quantitative - When it comes to: •

Location (where is the image / what is the focal length)



Magnification (the size / factor of the image)

1 1 1 + = 𝑝 𝑞 𝑓 •

Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

Signs really matter  Put it on the cheat sheet

Carefully copy it onto your cheat sheet!

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Magnification •

Orientation •

Positive – Upright



Negative – Inverted



ℎ′ 𝑞 𝑀= =− ℎ 𝑝

Size of the image

ℎ′

= 𝑀ℎ



M < 1 : The image is smaller



M = 1 : The image’s size is the same as the object’s



M > 1 : The image is bigger

Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

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Ch26

Question 6



(d) 16

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Thin Lenses •

Lens-makers’ equation

1 1 1 = (𝑛 − 1)( − ) 𝑓 𝑅1 𝑅2 • •

R1 / R2 is positive when the center of curvature is in back of lens. R1 / R2 is negative when the center of curvature is in front of the lens.

Thin Lenses 1 1 1 = (𝑛 − 1)( − ) 𝑓 𝑅1 𝑅2

Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

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Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

• •

f > 0  Converging Lens f < 0  Diverging Lens

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Thin Lens – Ray Diagram •

Ray Drawing Rules •

Parallel to the principle axis

Spherical Mirrors Mirror Equation Thin Lenses

 refracted and through the focal point on the back side

Thin Lens Equation •

Through the focal point on the front side  refracted and parallel to the principle axis



Through the center of the lens  continues in a straight line (no turns)

Thin Lens – Ray Diagram •

Converging Lens •

P < f : Upright , bigger , virtual



P = f : No image (infinitely faraway)



f < P < 2f : Inverted , bigger , real



P = 2f : Inverted , same size , real



P > 2f : Inverted , smaller , real



Practice Problems

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Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

Diverging Lens •

P anywhere : Upright , smaller , virtual 20

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Ch26

Question 4



(i) e (ii) a c

Thin Lens Equation 1 1 1 + = 𝑝 𝑞 𝑓 •

As well as the magnification formula

𝑀= •

ℎ′ 𝑞 =− ℎ 𝑝

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Spherical Mirrors Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

Again, signs really matter. 22

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Sign Convention for Thin Lens Equation

The table is different from that for mirrors!

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Ch26

Question 3



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(b)

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Ch26

Question 8

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1.05

Ch26

Question 11



(C) 26

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Spherical Mirrors

Practice Questions Part 2

Mirror Equation Thin Lenses Thin Lens Equation Practice Problems

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Part 2

Practice Questions



D) 28

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Part 2

Practice Questions



B) 29

Part 2

Practice Questions



B) 30

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Part 2

Practice Questions



A) 31

Part 2

Practice Questions



A) 32

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Part 2

Practice Questions



A) 33

Good Luck!

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