52.
(a) First, the lens forms a real image of the object located at a distance
i
1
=
1
f
1
−
1
p
1
−1
=
1
f
1
−
1
2f
1
−1
= 2f
1
to the right of the lens, or at p
2
= 2(f
1
+ f
2
)
− 2f
1
= 2f
2
in front of the mirror. The subsequent
image formed by the mirror is located at a distance
i
2
=
1
f
2
−
1
p
2
−1
=
1
f
2
−
1
2f
2
−1
= 2f
2
to the left of the mirror, or at p
1
= 2(f
1
+ f
2
)
− 2f
2
= 2f
1
to the right of the lens. The final image
formed by the lens is that at a distance i
1
to the left of the lens, where
i
1
=
1
f
1
−
1
p
1
−1
=
1
f
1
−
1
2f
1
−1
= 2f
1
.
This turns out to be the same as the location of the original object. The final image is real and
inverted. The lateral magnification is
m =
−
i
1
p
1
−
i
2
p
2
−
i
1
p
1
=
−
2f
1
2f
1
−
2f
2
2f
2
−
2f
1
2f
1
=
−1.0 .
(b) The ray diagram is shown below. We set the ratio f
2
/f
1
= 1/2 for the purposes of this sketch. The
intermediate images are not shown explicitly, but they are both located on the plane indicated by
the dashed line.
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Document Outline
- Main Menu
- Chapter 1 Measurement
- Chapter 2 Motion Along a Straight Line
- Chapter 3 Vectors
- Chapter 4 Motion in Two and Three Dimensions
- Chapter 5 Force and Motion I
- Chapter 6 Force and Motion II
- Chapter 7 Kinetic Energy and Work
- Chapter 8 Potential Energy and Conservation of Energy
- Chapter 9 Systems of Particles
- Chapter 10 Collisions
- Chapter 11 Rotation
- Chapter 12 Rolling, Torque, and Angular Momentum
- Chapter 13 Equilibrium and Elasticity
- Chapter 14 Gravitation
- Chapter 15 Fluids
- Chapter 16 Oscillations
- Chapter 17 Waves—I
- Chapter 18 Waves—II
- Chapter 19 Temperature, Heat, and the First Law of Thermodynamics
- Chapter 20 The Kinetic Theory of Gases
- Chapter 21 Entropy and the Second Law of Thermodynamics
- Chapter 22 Electric Charge
- Chapter 23 Electric Fields
- Chapter 24 Gauss’ Law
- Chapter 25 Electric Potential
- Chapter 26 Capacitance
- Chapter 27 Current and Resistance
- Chapter 28 Circuits
- Chapter 29 Magnetic Fields
- Chapter 30 Magnetic Fields Due to Currents
- Chapter 31 Induction and Inductance
- Chapter 32 Magnetism of Matter: Maxwell’s Equation
- Chapter 33 Electromagnetic Oscillations and Alternating Current
- Chapter 34 Electromagnetic Waves
- Chapter 35 Images
- 35.1 - 35.10
- 35.1
- 35.2
- 35.3
- 35.4
- 35.5
- 35.6
- 35.7
- 35.8
- 35.9
- 35.10
- 35.11 - 35.20
- 35.11
- 35.12
- 35.13
- 35.14
- 35.15
- 35.16
- 35.17
- 35.18
- 35.19
- 35.20
- 35.21 - 35.30
- 35.21
- 35.22
- 35.23
- 35.24
- 35.25
- 35.26
- 35.27
- 35.28
- 35.29
- 35.30
- 35.31 - 35.40
- 35.31
- 35.32
- 35.33
- 35.34
- 35.35
- 35.36
- 35.37
- 35.38
- 35.39
- 35.40
- 35.41 - 35.50
- 35.41
- 35.42
- 35.43
- 35.44
- 35.45
- 35.46
- 35.47
- 35.48
- 35.49
- 35.50
- 35.51 - 35.60
- 35.51
- 35.52
- 35.53
- 35.54
- 35.55
- 35.56
- 35.57
- 35.58
- 35.59
- 35.60
- 35.61 - 35.64
- 35.61
- 35.62
- 35.63
- 35.64
- 35.1 - 35.10
- Chapter 36 Interference
- Chapter 37 Diffraction
- Chapter 38 Special Theory of Relativity
- Chapter 39 Photons and Matter Waves
- Chapter 40 More About Matter Waves
- Chapter 41 All About Atoms
- Chapter 42 Conduction of Electricity in Solids
- Chapter 43 Nuclear Physics
- Chapter 44 Energy from the Nucleus
- Chapter 45 Quarks, Leptons, and the Big Bang
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