Multi-choice questions
- Page ID
- 105486
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Multi-choice Quiz Module 2
1. Select the correct statement. When two waves are mutually coherent, it means that
a. Their combined intensity is the linear sum of their individual intensities
b. The phase difference between the two waves does not change over time
c. The waves always interfere constructively
2. A light wave is described with the following equation \( u\left(x, t\right) = 10 \sin\big(10 \sin\big(1.5707 \times 10^{8} x - 3.1416 \times 10^{15} t + \frac{\pi}{4}\big)\big) \). What is the medium’s index of refraction of the propagating wave?
a. Light waves can only travel through air, n =1.
b. We do not have enough information to retrieve the refractive index.
c. The refractive index is n = 1.5.
3. When a monochromatic wave propagates through media of different refractive indexes, which one of the following parameters does not change?
a. The velocity of the light.
b. The wavelength of the light.
c. The frequency of the light.
4. Which of the following statements regarding the Fresnel approximation is correct?
a. The Fresnel approximation is invariant of the light wavelength
b. When the Fresnel approximation is satisfied, the spherical wave can be approximated by a plane wave.
c. For a fixed observation plane and wavelength, the smaller the radius of the circle, the more suitable the Fresnel approximation is.
5. Which is the maximum radius of a circle in which a spherical wave of wavelength \lambda = 488 nm, originating at a distance 2 m away, may be approximated by a paraboloidal wave?
a. The maximum radius is 55.038 mm
b. The maximum radius is 21.01 mm
c. The maximum radius is 66.49 mm
d. The maximum radius is 42.038 mm
6. Yes/No. Is the Fresnel approximation applicable for a radius of 10 cm at the observation plane located at 100 cm? The light wavelength is 550 nm.
a. Yes
b. No
7. If two waves are in phase and have the same amplitude, then the resultant wave has
a. half of the amplitude of the single wave
- the same amplitude as the single wave
- twice of the amplitude of the single wave
8. Imaging that there is a Young's double-slit experiment in which the separation of the slits is 2a, and the distance between the slits and observation plane is d. For a particular reason, the observation plane is moved away so that the distance between the slits’ and observation plane is doubled. Which is the new separation of the slits if one wants to keep constant the same fringes’ spacing on the screen?
a. 2a
b. 2a/3
c. a
d. 4a
9. Assume that we have an optical system in which two beams, which come from the same point source (e.g., the beams are mutually coherent), interfere. Which of the following optical parameters is governed by the superposition principle?
a. Amplitude
b. Intensity
c. Power
10. Given that the intensity of two waves is equal, what would the value of the phase difference be to get destructive interference?
a. 0
b. \( \pi \)
c. \( \pi /2 \)
11. You have built a demonstration of Young’s experiment with a distance of 0.25mm between the holes and a distance of 10 m to the screen. Unfortunately, you are colorblind, and you cannot remember the color of the laser beam that you used. However, you have measured that the distance between two maxima is 25.3mm. What must be the wavelength (and thus color) of the light used in the experiment?
a. 632.5 nm i.e. red
b. 532 nm i.e. green
c. 442 nm i.e. blue
12. Two monochromatic coherent waves of the same intensity (I0) are interfering with a phase difference of 35deg. What is the resulting Intensity?
a. 3.6I0
b. 0.36 I0
c. 3.1 I0
d. 1.8 I0
13. Your professor wants you to make an interferometer, but you have raided the storage cabinet and could only find a single beamsplitter and a pair of mirrors. Which is the only type of interferometer that you can make?
a. A Mach-Zehnder interferometer
b. A Michelson interferometer
c. A Sagnac interferometer