Worksheet: Holography

In this worksheet, we will practice describing how the phase differences of coherent light waves can be used to produce three-dimensional images.

Q1:

The diagram shows a laser being used to record a holographic image of a cylindrical object and then to display the image recorded on the holographic plate. Which of the virtual images shown would be observed by a viewer at the position shown?

  • AVirtual image B
  • BBoth virtual images simultaneously
  • CEach virtual image would alternate.
  • DNeither virtual image
  • EVirtual image A

Q2:

The diagram shows some apparatus used in holography, including a cylindrical object. Which of the labeled components is a beam splitter?

  • AII
  • BIII
  • CV
  • DIV
  • EVI

Q3:

The diagram shows a laser being used to display an image recorded on a holographic plate.

Which of the following wave phenomena occurs at the point labeled I in the diagram?

  • APolarization
  • BRefraction
  • CReflection
  • DDiffraction
  • EBeat frequency

Which of the following wave phenomena occurs at the points labeled II and III in the diagram?

  • ARefraction
  • BReflection
  • CDiffraction
  • DPolarization
  • EBeat frequency

Q4:

If a holographic plate is broken into pieces and a laser is used to view the image contained on one of the pieces, which of the following would the image show?

  • AThe image that was contained on the whole of the plate but at a lower resolution
  • BAn interference pattern
  • CNothing
  • DA part of the object that had not been scanned by the object beam when the holographic image was formed
  • EA part of the object of a size proportional to the size of the piece of the plate

Q5:

The diagram shows some apparatus used in holography, including a cylindrical object. Which of the following is the apparatus used for?

  • AViewing a recorded hologram of an object
  • BRecording a hologram of an object
  • CBoth recording and viewing a hologram of an object

Q6:

The diagram shows a laser being used to record a holographic image of a cylindrical object and then to display the image recorded on the holographic plate. Which of the virtual images would be observed by a viewer at the position shown?

  • AVirtual image B
  • BEach virtual image would alternate.
  • CVirtual image A
  • DNeither virtual image
  • EBoth virtual images simultaneously

Q7:

The diagram shows some apparatus used in holography, including a cylindrical object. Which of the labeled components will a holographic image of an object be recorded at?

  • AI
  • BIII
  • CVII
  • DIV
  • EII

Q8:

The diagram shows a laser being used to record a holographic image of a cylindrical object and then to display the image recorded on the holographic plate. Which of the virtual images would be observed by a viewer at the position shown?

  • ABoth virtual images simultaneously
  • BVirtual image B
  • CEach virtual image would alternate.
  • DVirtual image A
  • ENeither virtual image

Q9:

A laser used in holography emits a beam that travels symmetrically about the optical axis of a concave lens, as shown in the diagram. Which of the following most correctly explains why the beam diverges when it passes through the lens?

  • AThe beam has a nonzero width, so the parts of it on either side of the optical axis are refracted away from the axis.
  • BThe light in the beam is scattered.
  • CThe light beam produces emissions of secondary light beams from the lens material.
  • DThe beam does not pass exactly through the optical axis; some offset error is unavoidable, and the beam passes slightly to one side of the axis.
  • EThe light in the beam is diffracted.

Q10:

The diagram shows some apparatus used in holography, including a cylindrical object.

Which of the following is true of the path lengths of the beam paths ABC and ABD?

  • AThe path lengths are the same.
  • BABD is longer than ABC.
  • CABC is longer than ABD.

Which of the following is true of the path lengths of the beam paths AbcC and AbdD?

  • AThe path lengths are the same.
  • BAbcC is longer than AbdD.
  • CAbdD is longer than AbcC.

Q11:

The diagram shows some apparatus used in holography, including a cylindrical object. Which of the following are the components labeled V and VI?

  • AMirrors
  • BConvex lenses
  • CBeam splitters
  • DConcave lenses
  • EHolographic plates

Q12:

The diagram shows some apparatus used in holography, including a cylindrical object. The laser shown emits light waves that have a wavelength 𝜆.

Which of the following is the phase difference between the light waves that travel the path ABC and the light waves that travel the path AbcC?

  • A2𝜋(−)𝜆AbcCABC
  • B2𝜋(−)𝜆AbcCABC
  • C2𝜋𝜆(−)AbcCABC
  • D2𝜋(+)𝜆AbcCABC
  • E2𝜋(+)𝜆AbcCABC

Which of the following is the phase difference between the light waves that travel the path ABD and the light waves that travel the path AbdD?

  • A2𝜋(+)𝜆AbdDABD
  • B2𝜋(+)𝜆AbdDABD
  • C2𝜋(−)𝜆AbdDABD
  • D2𝜋𝜆(−)AbdDABD
  • E2𝜋(−)𝜆AbdDABD

Q13:

The diagram shows some apparatus used in holography, including a cylindrical object.

Which of the following is the term used to describe the beam that follows the path BC and BD?

  • AImage beam
  • BObject beam
  • CIllumination beam
  • DVirtual beam
  • EReference beam

Which of the following is the term used to describe the beam that follows the path bcC and bdD?

  • AImage beam
  • BObject beam
  • CReference beam
  • DIllumination beam
  • EVirtual beam

Q14:

The diagram shows some apparatus used in holography, including a cylindrical object.

Which of the following is true of the phase difference between light waves that travel the path ABC and those that travel the path ABD?

  • AThe phase difference is zero.
  • BThere is a nonzero phase difference between the waves.

Which of the following is true of the phase difference 𝜙 between light waves that travel the path AbcC and those that travel the path AbdD?

  • A0âȘ•đœ™âȘ•2𝜋
  • B0<𝜙<2𝜋

Q15:

The diagram shows a laser being used to record a holographic image of a cylindrical object and then to display the image recorded on the holographic plate. Which of the virtual images shown would be observed by a viewer at the position in the diagram?

  • AEach virtual image would alternate.
  • BBoth virtual images simultaneously
  • CNeither virtual image
  • DVirtual image A
  • EVirtual image B

Q16:

Which of the figures most closely resembles the appearance of a part of a holographic plate that has recorded an image of a cat? The figures are not necessarily of equal area parts of the holographic plate. The figures represent the appearance of sections of the holographic plate, not the appearance of the image that would be formed by such a section of the plate by transmitting a laser beam through the plate.

  • A
    holographic plate
  • B
    holographic plate
  • C
    holographic plate
  • D
    holographic plate
  • E
    holographic plate

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