Chapter 24: The Wave Nature of Light
Practice Questions



1.  

What is the angle of the first minimum in the diffraction pattern produced by 550 nm light incident upon a 550 nm slit?

0o
30o
45o
90o


2.  

What is the angle of the first minimum in the diffraction pattern produced by 550 nm light incident upon a 1100 nm slit?

0o
20o
30o
60o


3.  

What is the angle of the first minimum in the diffraction pattern produced by 550 nm light incident upon a 11000 nm slit?

0o
2.9o
20.1o
No minimum exists


4.  

In the previous question what would be the width of the central maximum on a screen 5 meters away?

11000 nm
25 cm
50 cm
2.5 m


5.  

Two narrow slits spaced 100 microns apart are exposed to light of 600 nm. At what angle does the first minimum (dark space) occur in the interference pattern?

.003 radians
.006 radians
.006 degrees
.003 degrees


6.  

If a screen is 1 meter away from the two slits in question 5 where will be the first dark space on the screen?

3 m
3 cm
3 mm
.3 mm


7.  

In question 5 at what angle would the first off center maximum occur?

.003 radians
.006 radians
.009 radians
.012 radians


8.  

In question 6 where would the first off center maximum (bright line) occur?

0 mm
3 mm
6 mm
9 mm


9.  

How far would the screen have to be moved away in question 6 for the first dark line to move to the position of the first off center bright line?

.5 m
1 m
1.5 m
2 m


10.  

In question 6 what slit spacing would move the first dark line to the current position of the first off center bright line?

200 microns
150 microns
50 microns
25 microns


11.  

Light composed of red (700 nm) blue (400 nm) components falls on two slits and forms a central magenta appearing line on a screen 2 meters away. The nearest bright line to the central line is

magenta.
red.
blue.


12.  

Light composed of red (700 nm) blue (400 nm) components falls on two slits and forms a central magenta appearing line on a screen 2 meters away. If the slits have a separation of 100 microns, how far from the central magenta line will the first off-center magenta line appear?

2 cm
4.2 cm
5.6 cm
It will never appear.


13.  

A narrow beam of blue and red light is incident at 45 degrees on a very thick piece of plate glass The emerging light will

exit as a single beam parallel to the incoming beam.
exit as two beams (blue and red) parallel to the entering beam with the blue beam closest to the path of the original beam.
exit as two beams (blue and red) parallel to the entering beam with the red beam closest to the path of the original beam.


14.  

A diffraction grating has 8000 lines/cm and is exposed to light of 500 nm. The first order maxima occurs at

13.6o
23.6o
42o
52o


15.  

A diffraction grating has 8000 lines/cm and is exposed to light of 500 nm. Where is the second order maxima?

23.6o
53.1o
78.6o
Does not occur.


16.  

A diffraction grating has 8000 lines/cm and is exposed to light of 500 nm.If the light in question 14 had a wavelength of 700 nm the first maximum would be at

23o.
34o.
66o.
89o.


17.  

In the previous question where would the second order maximum be located?

38.4o
58.4o
88.4o
Does not occur.


18.  

Green (525 nm) and red (700) nm light strike a diffraction grating with 4000 lines/cm. In what order (m=?) would the red light have the same angle as the green light of the next higher order?

m=2
m=3
m=4
Does not occur.


19.  

What is the angle in the previous question at which the two colors are at the same angle?

57o
66o
86o
Does not occur.


20.  

Light striking a thin film (n=1.3) on a glass (n=1.5) surface appears green (550nm) when viewed head on. What is the minimum thickness of the film?

50 nm
212 nm
275 nm
550 nm


21.  

The point of a soap (n=1.35) bubble closest to you appears red (550 nm) What is the minimum thickness of the film?

51 nm
102 nm
204 nm
408 nm


22.  

Unpolarized light with intensity Iofalls on a polaroid sheet, the transmitted intensity is

Io/2
Io/4
Io/8
Io/16


23.  

If the axis of the polarizer in the previous question is vertical a second one is placed at 45o what will be the resulting intensity?

Io/2
Io/4
Io/8
Io/16


24.  

A third polaroid is added after the 45o one, its axis is horizontal, what is the resulting intensity?

Io/2
Io/4
Io/8
Io/16


25.  

The 45o polaroid is moved from between the vertical and horizontal polaroid to after the horizontal one, what is the resulting intensity?

Io/2
Io/4
Io/8
Io/16
zero


26.  

What does Brewster's angle give?

The angle for total internal reflection.
The angle for maximum resolution.
The minimum angle of deviation.
The angle for 100% polarization upon reflection.


27.  

What is Brewster's angle for glass (n=1.5)?

38.4o
48.7o
56.3o
78.4o


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