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1. Monochromatic light from a point source illuminates two narrow parallel slits

ID: 1450503 • Letter: 1

Question

1. Monochromatic light from a point source illuminates two narrow parallel slits. The centers of the two slits are d = 0.8 mm apart. An interference pattern forms on the screen 50 cm away. The distance between two successive two successive maxima is 0.304 mm. What is the wavelength of the light?

a) 121 nm b) 243 nm c) 486 nm d) 0.976 m e) none of above

2. When one mirror in a Michelson interferometer is moved slightly, 150 dark fringes sweep through the field of view. If the light used has a wavelength of 600 nm, how far was the mirror moved? Choose the closest.
a) 500 nm b) 5 m c) 50 m d) 500 m e) 5 mm

3. Two beams of coherent light travel different optical paths arriving at point P. If the maximum constructive interference is to occur, the two beams must
a) be 180° out of phase b) be 90° out of phase c) travel paths which differ by an integer number of wavelengths d) travel paths which differ by an odd number of half-wavelengths

4. A lens is coated with a material of index of refraction of 1.38. What is the minimum thickness of film used to give maximum transmission at 530 nm?

a)96nm b)132nm c)192nm d)265nm e)noneoftheabove

5. A single slit of width 0.05 mm is illuminated by parallel light of wavelength 600 nm. How far is the sixth dark band from the central bright band as measured on a screen 20 cm from the slit?
a) 3.6 mm b) 7.2 mm c) 14.4 mm d) 28.8 mm e) none of above

Explanation / Answer

1) Wavelength = (delta x)(d/L) = (0.304*0.8)/500 = 486.4 nm (option c)

3) travel paths which differ by an integer number of wavelengths (option c)