Question 1

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide.At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Accepted Answer

A) 0.39 m 
B) 0.47 m 
C) 0.93 m 
D) 1.1 m 
E) 1.9 m

Question 2

In a single-slit diffraction experiment,the width of the slit through which light passes is reduced.What happens to the width of the central bright fringe?

Accepted Answer

A) It stays the same. 
B) It becomes narrower. 
C) It becomes wider. 
D) Its behavior depends on the wavelength of the light.

Question 3

A single-slit diffraction pattern is formed on a distant screen.Assuming the angles involved are small,by what factor will the width of the central bright spot on the screen change if the slit width is doubled?

Accepted Answer

A) It will be cut to one-quarter its original size. 
B) It will be cut in half. 
C) It will double. 
D) It will become four times as large. 
E) It will become eight times as large.

Question 4

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits.The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits.What is the distance between the two slits?

Accepted Answer

A) 0.0703 mm 
B) 0.141 mm 
C) 0.281 mm 
D) 0.562 mm 
E) 0.633 mm

Question 5

When monochromatic light illuminates a grating with 7000 lines per centimeter,its second order maximum is at 62.4°.What is the wavelength of the light?

Accepted Answer

A) 336 nm 
B) 363 nm 
C) 452 nm 
D) 633 nm 
E) 752 nm

Question 6

Monochromatic light is incident on a grating that is 75 mm wide and ruled with 50,000 lines.The second-order maximum is seen at 32.5°.What is the wavelength of the incident light?

Accepted Answer

A) 202 nm 
B) 403 nm 
C) 452 nm 
D) 605 nm 
E) 806 nm

Question 7

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe.What is the separation between the double slits?

Accepted Answer

A) 5.0 µm 
B) 10 µm 
C) 15 µm 
D) 20 µm 
E) 25 µm

Question 8

In a double slit experiment,if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m,find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

Accepted Answer

A) 1.5 cm 
B) 3.0 cm 
C) 4.5 cm 
D) 6.0 cm 
E) 9.0 cm

Question 9

A single slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum,when monochromatic light of 630-nm wavelength is used.The same slit,illuminated by a new monochromatic light source,produces a diffraction pattern with the second minimum at a 60.0° angle from the central maximum.What is the wavelength of this new light?

Accepted Answer

A) 425 nm 
B) 450 nm 
C) 475 nm 
D) 500 nm 
E) 525 nm

Question 10

Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating.If the third-order maximum of the diffraction pattern is observed at 32.0° from the central spot,how many TOTAL number of maxima can be seen?

Accepted Answer

A) 5 
B) 7 
C) 10 
D) 11 
E) 13

Question 11

What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm?

Accepted Answer

A) 1.63° 
B) 1.52° 
C) 0.815° 
D) 3.26°

Exam 33: Wave Optics