7.9: Optics Appendix: What's Behind the Curtain?
- Page ID
- 33432
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Exercise \(\PageIndex{1}\): Object source: Optics Appendix Problem 1
An object and its image are shown (position is given in meters). You can drag the object. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{2}\): Object source: Optics Appendix Problem 2
An object and its image are shown (position is given in meters). You can drag the object. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{3}\): Object source: Optics Appendix Problem 3
An object and its image are shown (position is given in meters). You can drag the object. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{4}\): Object source: Optics Appendix Problem 4
An object and its image are shown (position is given in meters). You can drag the object. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{5}\): Object source: Optics Appendix Problem 5
An object and its image are shown (position is given in meters). You can drag the object. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{6}\): Beam source: Optics Appendix Problem 6
A source of parallel rays is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{7}\): Beam source: Optics Appendix Problem 7
A source of parallel rays is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{8}\): Beam source: Optics Appendix Problem 8
A source of parallel rays is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{9}\): Beam source: Optics Appendix Problem 9
A source of parallel rays is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{10}\): Beam source: Optics Appendix Problem 10
A source of parallel rays is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{11}\): Point source: Optics Appendix Problem 11
A point source of light is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{12}\): Point source: Optics Appendix Problem 12
A point source of light is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{13}\): Point source: Optics Appendix Problem 13
A point source of light is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{14}\): Point source: Optics Appendix Problem 14
A point source of light is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
Exercise \(\PageIndex{15}\): Point source: Optics Appendix Problem 15
A point source of light is shown (position is given in meters and angle is given in degrees). You can change both the position and the direction of the source and both the position and angle of the protractor by click-dragging. Restart.
- What optical element is hidden behind the curtain?
- What is the focal length of the hidden element? Assume the curtain is centered on the optical element.
Problem authored by Melissa Dancy.
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