Question 1

If two coherent waves,one with intensity 8.0 units and the other with intensity 4.0 units,undergo destructive interference,what is the resulting intensity?

Accepted Answer

A)  4.0 units 
B)  6.0 units 
C)  -4.0 units 
D)  1.9 units 
E)  0.7 units 
A)  4.0 units 
B)  6.0 units 
C)  -4.0 units 
D)  1.9 units 
E)  0.7 units E

Question 2

A single slit of width 0.030 mm is used to project a diffraction pattern of 500 nm light on a screen at a distance of 2.00 m from the slit.What is the width of the central maximum?

Accepted Answer

A)  1.7 cm 
B)  3.3 cm 
C)  6.7 cm 
D)  1.5 mm 
E)  3.0 mm 
A)  1.7 cm 
B)  3.3 cm 
C)  6.7 cm 
D)  1.5 mm 
E)  3.0 mm C

Question 3

A grating with 8000 slits space over 2.54 cm is illuminated by light of a wavelength of 546 nm.What is the angle for the third order maximum?

Accepted Answer

A)  31.1$^{\circ}$ 
B)  15.1$^{\circ}$ 
C)  26.3$^{\circ}$ 
D)  10.5$^{\circ}$ 
A)  31.1$^{\circ}$ 
B)  15.1$^{\circ}$ 
C)  26.3$^{\circ}$ 
D)  10.5$^{\circ}$ A

Question 4

What is the limiting angle of resolution,in degrees,for a microscope with an objective 0.50 cm in diameter when viewing is done at 590 nm?

Accepted Answer

A)  2.1 $\times$ 10-3 
B)  4.1 $\times$ 10-3 
C)  7.2 $\times$ 10-5 
D)  8.2 $\times$ 10-3 
E)  1.4 $\times$ 10-4 
A)  2.1 $\times$ 10-3 
B)  4.1 $\times$ 10-3 
C)  7.2 $\times$ 10-5 
D)  8.2 $\times$ 10-3 
E)  1.4 $\times$ 10-4

Question 5

A Michelson interferometer is set up for microwaves.Initially the reflectors are placed so the detector reads a maximum.When one of the reflectors is moved 12 cm,the reading goes from a minimum to a maximum six times.What is the wavelength of the microwaves?

Accepted Answer

A)  0.5 cm 
B)  4 cm 
C)  1 cm 
D)  2 cm 
A)  0.5 cm 
B)  4 cm 
C)  1 cm 
D)  2 cm

Question 6

When scattering 3.28 Angstrom X-rays from a crystal an interference maximum occurs at a scattering angle of 23.0 degrees.What is the crystal spacing?

Accepted Answer

A)  4.2 Angstroms 
B)  16.8 Angstroms 
C)  6.3 Angstroms 
D)  8.4 Angstroms 
A)  4.2 Angstroms 
B)  16.8 Angstroms 
C)  6.3 Angstroms 
D)  8.4 Angstroms

Question 7

In a two-slit experiment,there are 11 bright fringes within the central diffraction maximum.What is the ratio of the slit width to the slit separation?

Accepted Answer

A)  5 
B)  1/6 
C)  1/5 
D)  6 
A)  5 
B)  1/6 
C)  1/5 
D)  6

Question 8

A laser beam is shown through a grating and the first-order maximum is produced at 17$^{\circ}$.What is the highest order maximum that can be produced by this arrangement?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
E)  6 
A)  2 
B)  3 
C)  4 
D)  5 
E)  6

Question 9

Laser light of 589 nm wavelength is shown through parallel slits forming a series of maxima on a screen 4.20 m away.If the distance between the central maximum and the first order maximum is 1.67 cm,what is the slit separation?

Accepted Answer

A)  3.90 $\times$ 10-3 cm 
B)  3.98 $\times$ 10-3 m 
C)  9.98 $\times$ 10-5 m 
D)  1.40 $\times$ 10-3 m 
E)  1.48 $\times$ 10-4 m 
A)  3.90 $\times$ 10-3 cm 
B)  3.98 $\times$ 10-3 m 
C)  9.98 $\times$ 10-5 m 
D)  1.40 $\times$ 10-3 m 
E)  1.48 $\times$ 10-4 m

Question 10

A thin film of magnesium fluoride (n = 1.38) is applied to glass (n = 1.50) at a thickness of 100 nm.For what visible wavelength will this coating act as nonreflecting?

Accepted Answer

A)  600 nm 
B)  578 nm 
C)  552 nm 
D)  504 nm 
E)  491 nm 
A)  600 nm 
B)  578 nm 
C)  552 nm 
D)  504 nm 
E)  491 nm

Question 11

Using a Michelson interferometer and a light source of 400 nm,a change from bright to dark indicates a change in distance of

Accepted Answer

A)  2.0 $\times$ 10-4 mm. 
B)  4.0 $\times$ 10-4 mm. 
C)  3.0 $\times$ 10-4 mm. 
D)  1.0 $\times$ 10-4 mm. 
A)  2.0 $\times$ 10-4 mm. 
B)  4.0 $\times$ 10-4 mm. 
C)  3.0 $\times$ 10-4 mm. 
D)  1.0 $\times$ 10-4 mm.

Question 12

A general condition that two waves undergo constructive interference is that

Accepted Answer

A)  their phase difference is zero. 
B)  their phase difference is $\pi$/2 rad. 
C)  their phase difference is $\pm\pi$/2 rad. 
D)  their phase difference is an even integral multiple of $\pi$ rad. 
E)  their phase difference is an odd integral multiple of $\pi$ rad. 
A)  their phase difference is zero. 
B)  their phase difference is $\pi$/2 rad. 
C)  their phase difference is $\pm\pi$/2 rad. 
D)  their phase difference is an even integral multiple of $\pi$ rad. 
E)  their phase difference is an odd integral multiple of $\pi$ rad.

Question 13

For a plane wave approaching an obstacle with a rectangular opening,diffraction becomes important in which of the following circumstances?

Accepted Answer

A)  the beam is coherent 
B)  one or more dimensions of the rectangular opening is near the wavelength of the source 
C)  both dimensions of the rectangular opening are larger than the wavelength of the source 
D)  only if the opening is circular 
A)  the beam is coherent 
B)  one or more dimensions of the rectangular opening is near the wavelength of the source 
C)  both dimensions of the rectangular opening are larger than the wavelength of the source 
D)  only if the opening is circular

Question 14

If the two 2nd order maxima (m = 2) are separated by 2.0 cm on the screen in a double-slit experiment,what is the separation of the m = 3 minima? Assume the angle is very small.

Accepted Answer

A)  1.5 cm 
B)  2.0 cm 
C)  2.5 cm 
D)  3.0 cm 
E)  3.5 cm 
A)  1.5 cm 
B)  2.0 cm 
C)  2.5 cm 
D)  3.0 cm 
E)  3.5 cm

Question 15

A canvas tent has a single,tiny hole in its side.While inside the tent,you observe on the wall of the tent which is 2.0 m away from your eye a dot (due to the Sun's light incident upon the hole) of width 2.0 mm,with a faint ring around it.What is the size of the hole in the tent?

Accepted Answer

A)  0.76 mm 
B)  1.24 mm 
C)  0.31 mm 
D)  0.62 mm 
A)  0.76 mm 
B)  1.24 mm 
C)  0.31 mm 
D)  0.62 mm

Question 16

Two point sources of light of wavelength 600 nm are being viewed by a telescope of aperture width 2.0 cm.What is the closest angular separation at which the two sources can be resolved?

Accepted Answer

A)  7.3 $\times$ 10-5 rad 
B)  3.7 $\times$ 10-5 rad 
C)  7.3 $\times$ 10-5 deg 
D)  3.7 $\times$ 10-5 deg 
E)  4.2 $\times$ 10-3 deg 
A)  7.3 $\times$ 10-5 rad 
B)  3.7 $\times$ 10-5 rad 
C)  7.3 $\times$ 10-5 deg 
D)  3.7 $\times$ 10-5 deg 
E)  4.2 $\times$ 10-3 deg

Question 17

What is the highest order maximum that is possible when using a grating with 600 slits per mm for a wavelength of 700 nm?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 18

In a Young's double slit experiment,a 5th order maximum occurs at an angle of 1.422$^{\circ}$.If the screen is 3.90 m from the slits and the slit separation is 0.135 mm,what wavelength is being used?

Accepted Answer

A)  335 nm 
B)  670 nm 
C)  476 nm 
D)  589 nm 
E)  690 nm 
A)  335 nm 
B)  670 nm 
C)  476 nm 
D)  589 nm 
E)  690 nm

Question 19

What slit separation would a grating have to produce a first-order maximum at an angle of 40.0$^{\circ}$for a wavelength of 589 nm?

Accepted Answer

A)  109 nm 
B)  690 nm 
C)  378 nm 
D)  458 nm 
E)  916 nm 
A)  109 nm 
B)  690 nm 
C)  378 nm 
D)  458 nm 
E)  916 nm

Question 20

A general condition that two waves undergo destructive interference is

Accepted Answer

A)  their phase difference is zero. 
B)  their phase difference is $\pi$/2 rad. 
C)  their phase difference is $\pm\pi$/2 rad. 
D)  their phase difference is an even integral multiple of $\pi$ rad. 
E)  their phase difference is an odd integral multiple of $\pi$ rad. 
A)  their phase difference is zero. 
B)  their phase difference is $\pi$/2 rad. 
C)  their phase difference is $\pm\pi$/2 rad. 
D)  their phase difference is an even integral multiple of $\pi$ rad. 
E)  their phase difference is an odd integral multiple of $\pi$ rad.

Exam 25: Interference and Diffraction

If two coherent waves,one with intensity 8.0 units and the other with intensity 4.0 units,undergo destructive interference,what is the resulting intensity?

A single slit of width 0.030 mm is used to project a diffraction pattern of 500 nm light on a screen at a distance of 2.00 m from the slit.What is the width of the central maximum?

A grating with 8000 slits space over 2.54 cm is illuminated by light of a wavelength of 546 nm.What is the angle for the third order maximum?

What is the limiting angle of resolution,in degrees,for a microscope with an objective 0.50 cm in diameter when viewing is done at 590 nm?

A Michelson interferometer is set up for microwaves.Initially the reflectors are placed so the detector reads a maximum.When one of the reflectors is moved 12 cm,the reading goes from a minimum to a maximum six times.What is the wavelength of the microwaves?

When scattering 3.28 Angstrom X-rays from a crystal an interference maximum occurs at a scattering angle of 23.0 degrees.What is the crystal spacing?

In a two-slit experiment,there are 11 bright fringes within the central diffraction maximum.What is the ratio of the slit width to the slit separation?

A laser beam is shown through a grating and the first-order maximum is produced at 17 ∘^{\circ}∘ .What is the highest order maximum that can be produced by this arrangement?

Laser light of 589 nm wavelength is shown through parallel slits forming a series of maxima on a screen 4.20 m away.If the distance between the central maximum and the first order maximum is 1.67 cm,what is the slit separation?

A thin film of magnesium fluoride (n = 1.38) is applied to glass (n = 1.50) at a thickness of 100 nm.For what visible wavelength will this coating act as nonreflecting?

Using a Michelson interferometer and a light source of 400 nm,a change from bright to dark indicates a change in distance of

A general condition that two waves undergo constructive interference is that

For a plane wave approaching an obstacle with a rectangular opening,diffraction becomes important in which of the following circumstances?

If the two 2nd order maxima (m = 2) are separated by 2.0 cm on the screen in a double-slit experiment,what is the separation of the m = 3 minima? Assume the angle is very small.

A canvas tent has a single,tiny hole in its side.While inside the tent,you observe on the wall of the tent which is 2.0 m away from your eye a dot (due to the Sun's light incident upon the hole) of width 2.0 mm,with a faint ring around it.What is the size of the hole in the tent?

Two point sources of light of wavelength 600 nm are being viewed by a telescope of aperture width 2.0 cm.What is the closest angular separation at which the two sources can be resolved?

What is the highest order maximum that is possible when using a grating with 600 slits per mm for a wavelength of 700 nm?

In a Young's double slit experiment,a 5th order maximum occurs at an angle of 1.422 ∘^{\circ}∘ .If the screen is 3.90 m from the slits and the slit separation is 0.135 mm,what wavelength is being used?

What slit separation would a grating have to produce a first-order maximum at an angle of 40.0 ∘^{\circ}∘ for a wavelength of 589 nm?

A general condition that two waves undergo destructive interference is

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A laser beam is shown through a grating and the first-order maximum is produced at 17 $^{\circ}$ .What is the highest order maximum that can be produced by this arrangement?

If the two 2^nd order maxima (m = 2) are separated by 2.0 cm on the screen in a double-slit experiment,what is the separation of the m = 3 minima? Assume the angle is very small.

In a Young's double slit experiment,a 5^th order maximum occurs at an angle of 1.422 $^{\circ}$ .If the screen is 3.90 m from the slits and the slit separation is 0.135 mm,what wavelength is being used?

What slit separation would a grating have to produce a first-order maximum at an angle of 40.0 $^{\circ}$ for a wavelength of 589 nm?