Question 1

A diffraction grating is to be used to find the wavelength of the light in the emission spectrum of a gas. The grating spacing is not known, but a light having a known wavelength of 632.8 nm is deflected by 43.2° away from the central maximum in the second order by this grating. Light of the wavelength to be measured is deflected by 48.2° away from the central maximum in the second order. What is the wavelength of this light?

Accepted Answer

The answer of A diffraction grating is to be used...

Question 2

In a double-slit experiment, the slit separation is 2.0 mm, and two wavelengths, 750 nm and 900 nm, illuminate the slits simultaneously. A screen is placed 2.0 m from the slits. At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

Accepted Answer

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

Question 3

A double slit illuminated with light of wavelength 588 nm forms a diffraction pattern on a screen 11.0 cm away. The slit separation is 2464 nm. What is the distance between the third and fourth bright fringes away from the central fringe?

Accepted Answer

A)  23.9 cm 
B)  5.96 cm 
C)  5.59 cm 
D)  2.63 cm

Question 4

If the fifth order minimum in the diffraction pattern of a thin slit is at 40° from the central maximum, what is the highest order minimum in the pattern?

Accepted Answer

A)  6 
B)  11 
C)  8 
D)  7 
E)  9

Question 5

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 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

A single slit forms a diffraction pattern, with the first minimum at an angle of 40.0° from central maximum, using monochromatic light of 490-nm wavelength. What is the width of the slit?

Accepted Answer

A)  762 nm 
B)  731 nm 
C)  700 nm 
D)  668 nm 
E)  637 nm

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

Light from a 600 nm source goes through two slits 0.080 mm apart. What is the angular separation of the two first order maxima occurring on a screen 2.0 m from the slits?

Accepted Answer

A)  0.15° 
B)  0.86° 
C)  0.015° 
D)  0.0075° 
E)  1.75°

Question 10

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 11

A diffraction grating has rulings of 890 lines/mm. When white light is incident normally on the grating, what is the longest wavelength that forms an intensity maximum in the fifth order?

Accepted Answer

A)  225 nm 
B)  200 nm 
C)  250 nm 
D)  275 nm 
E)  300 nm

Exam 22: Wave Optics