Question 1

For a given light source and collimator slit width,the spectral lines obtained using a prism are brighter than those using a diffraction grating because

Accepted Answer

A) the grating absorbs more light than the prism. 
B) light is dispersed more by a prism than by a grating. 
C) the prism forms a single spectrum and the grating forms multiple spectra. 
D) light passes through the prism at minimum deviation. 
E) light is dispersed more by a grating than by a prism. 
A) the grating absorbs more light than the prism. 
B) light is dispersed more by a prism than by a grating. 
C) the prism forms a single spectrum and the grating forms multiple spectra. 
D) light passes through the prism at minimum deviation. 
E) light is dispersed more by a grating than by a prism.

Question 2

If a thin soap film (n = 1.36)reflects predominately red light (about 680 nm),then what is the minimum thickness of the soap film?

Accepted Answer

A) 1.25 $\times$ 10-7 m 
B) 6.80 $\times$ 10-7 m 
C) 2.50 $\times$ 10-7 m 
D) 5.00 $\times$ 10-7 m 
E) None of these is correct. 
A) 1.25 $\times$ 10-7 m 
B) 6.80 $\times$ 10-7 m 
C) 2.50 $\times$ 10-7 m 
D) 5.00 $\times$ 10-7 m 
E) None of these is correct.

Question 3

If we assume normal incidence,the minimum thickness of a soap film (n = 1.33)in air that gives constructive interference when viewed by reflected light of wavelength 400 nm is

Accepted Answer

A) 225 nm 
B) 200 nm 
C) 100 nm 
D) 75 nm 
E) 57 nm 
A) 225 nm 
B) 200 nm 
C) 100 nm 
D) 75 nm 
E) 57 nm

Question 4

A 3.5-cm-long microscope glass slide has one edge in contact with a flat plane of glass,while the other edge is slightly raised due to the insertion of a thin piece of paper.Sodium light of wavelength 589 nm is normally incident on the glass from above and interference fringes are observed by reflection with a regular spacing of 0.22 mm.Calculate the thickness of the piece of paper.

Accepted Answer

A) 9.4 $\times$ 10-5 m 
B) 5.5 $\times$ 10-5 m 
C) 2.4 $\times$ 10-5 m 
D) 4.7 $\times$ 10-5 m 
E) None of these is correct. 
A) 9.4 $\times$ 10-5 m 
B) 5.5 $\times$ 10-5 m 
C) 2.4 $\times$ 10-5 m 
D) 4.7 $\times$ 10-5 m 
E) None of these is correct.

Question 5

For us to see interference phenomena in a thin film,

Accepted Answer

A) the incoming light must be monochromatic. 
B) the index of refraction of the thin film must be greater than the index of refraction of the material below it. 
C) the index of refraction of the thin film must be less than the index of refraction of the material below it. 
D) the incoming light must be multicolored. 
E) none of these conditions need exist 
A) the incoming light must be monochromatic. 
B) the index of refraction of the thin film must be greater than the index of refraction of the material below it. 
C) the index of refraction of the thin film must be less than the index of refraction of the material below it. 
D) the incoming light must be multicolored. 
E) none of these conditions need exist

Question 6

At normal incidence,the minimum thickness of a soap film (n = 1.33)that causes constructive interference when viewed by reflected light of wavelength 400 nm is

Accepted Answer

A) 225 nm 
B) 200 nm 
C) 100 nm 
D) 750 nm 
E) 570 nm 
A) 225 nm 
B) 200 nm 
C) 100 nm 
D) 750 nm 
E) 570 nm

Question 7

You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 590 nm,and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length 2.00 m.The distance between the two dark fringes on each side of the central bright fringe is

Accepted Answer

A) 0.295 cm 
B) 0.590 cm 
C) 1.18 cm 
D) 2.95 cm 
E) 5.90 cm 
A) 0.295 cm 
B) 0.590 cm 
C) 1.18 cm 
D) 2.95 cm 
E) 5.90 cm

Question 8

You dip a wire loop into soapy water (n = 1.33)and hold it up vertically to look at the soap film in white light.The soap film looks dark at the top because it has sagged,and its thickness there is nearly zero,causing the reflected wavelengths to interfere destructively.Part way down the loop you see the first red band of the reflected white light.What is the thickness of the soap film there? (Take the wavelength of red light to be 680 nm.)

Accepted Answer

A) 130 nm 
B) 170 nm 
C) 220 nm 
D) 250 nm 
E) 340 nm 
A) 130 nm 
B) 170 nm 
C) 220 nm 
D) 250 nm 
E) 340 nm

Question 9

As the width of the slit producing a single-slit diffraction pattern is slowly and steadily reduced (always remaining larger than the wavelength of the light),the diffraction pattern

Accepted Answer

A) slowly and steadily gets wider. 
B) slowly and steadily gets brighter. 
C) does not change because the wavelength of the light does not change. 
D) slowly and steadily gets narrower. 
E) None of these is correct. 
A) slowly and steadily gets wider. 
B) slowly and steadily gets brighter. 
C) does not change because the wavelength of the light does not change. 
D) slowly and steadily gets narrower. 
E) None of these is correct.

Question 10

For a grating with d = 3.5$\lambda$,the maximum order m of an interference maximum that can be observed for a specified $\lambda$ is

Accepted Answer

A) 3.5 
B) 3 
C) 1 
D) 2 
E) 2.5 
A) 3.5 
B) 3 
C) 1 
D) 2 
E) 2.5

Question 11

The headlights of an oncoming car are 1.2 m apart.What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

Accepted Answer

A) 8.9 km 
B) 22 km 
C) 4.4 km 
D) 5.4 km 
E) 13 km 
A) 8.9 km 
B) 22 km 
C) 4.4 km 
D) 5.4 km 
E) 13 km

Exam 33: Interference and Diffraction

For a given light source and collimator slit width,the spectral lines obtained using a prism are brighter than those using a diffraction grating because

If a thin soap film (n = 1.36)reflects predominately red light (about 680 nm),then what is the minimum thickness of the soap film?

If we assume normal incidence,the minimum thickness of a soap film (n = 1.33)in air that gives constructive interference when viewed by reflected light of wavelength 400 nm is

For us to see interference phenomena in a thin film,

At normal incidence,the minimum thickness of a soap film (n = 1.33)that causes constructive interference when viewed by reflected light of wavelength 400 nm is

You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 590 nm,and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length 2.00 m.The distance between the two dark fringes on each side of the central bright fringe is

As the width of the slit producing a single-slit diffraction pattern is slowly and steadily reduced (always remaining larger than the wavelength of the light),the diffraction pattern

For a grating with d = 3.5 λ\lambdaλ ,the maximum order m of an interference maximum that can be observed for a specified λ\lambdaλ is

The headlights of an oncoming car are 1.2 m apart.What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

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Filters

For a grating with d = 3.5 $\lambda$ ,the maximum order m of an interference maximum that can be observed for a specified $\lambda$ is