1. In a large water tank two sources (Si and S2) are in phase with a common frequency separated by 6.0 cm. The wavelength of the waves in the water is 2.0 cm. a) A nodal point P: (on the second nodal line) is 0.24 m from Si, how far is this point from the other source? b) The nodal point P: (located on the first nodal line), is located 0.120 m from the perpendicular bisector of the two sources. How far in the nodal point from the midpoint of the two sources? c) Find the angle to distant points of the 2nd nodal line.

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5. A thin film (n =1.2) of unknown uniform thickness is placed overtop of glass
(n = 1.5). Light of wavelength 600.0 nm (in air) is minimized under reflection (in air).
You know that the thickness of the film is less than 800.0 nm. Is it possible for light of
wavelength 360 nm (in air) to also be minimized under reflection from the same film?
Show all work.
4. A diffraction grating gives a second order maximum at an angle of 6.20 for light of
wavelength 630 nm. What is the number of lines per centimeter in the grating?
Transcribed Image Text:5. A thin film (n =1.2) of unknown uniform thickness is placed overtop of glass (n = 1.5). Light of wavelength 600.0 nm (in air) is minimized under reflection (in air). You know that the thickness of the film is less than 800.0 nm. Is it possible for light of wavelength 360 nm (in air) to also be minimized under reflection from the same film? Show all work. 4. A diffraction grating gives a second order maximum at an angle of 6.20 for light of wavelength 630 nm. What is the number of lines per centimeter in the grating?
1. In a large water tank two sources (Si and S2) are in phase with a common frequency
separated by 6.0 cm. The wavelength of the waves in the water is 2.0 cm.
a) A nodal point P: (on the second nodal line) is 0.24 m from S1, how far is this point
from the other source?
b) The nodal point PI (located on the first nodal line), is located 0.120 m from the
perpendicular bisector of the two sources. How far in the nodal point from the midpoint
of the two sources?
c) Find the angle to distant points of the 2nd nodal line.
2. Two slits are 0.18 mm apart. Light source 1 with a wavelength of 460 nm illuminates
the slits. The distance from the slits to the screen is 1.2 m
a) Find the distance on the screen from the center of the interference pattern to the third
node on the right.
b) What wavelength of light from light source 2 will have the second order node where
the first order maxima can be found from light source 1?
3. Monochromatic light of wavelength 520 nm falls onto a slit 0.031 mm wide. A screen
is placed 3.0 m away.
a) Find the distance on the screen from the second node to the left of the central
maximum to the second secondary maximum on the right.
b) Find the angular width of the central maximum.
Transcribed Image Text:1. In a large water tank two sources (Si and S2) are in phase with a common frequency separated by 6.0 cm. The wavelength of the waves in the water is 2.0 cm. a) A nodal point P: (on the second nodal line) is 0.24 m from S1, how far is this point from the other source? b) The nodal point PI (located on the first nodal line), is located 0.120 m from the perpendicular bisector of the two sources. How far in the nodal point from the midpoint of the two sources? c) Find the angle to distant points of the 2nd nodal line. 2. Two slits are 0.18 mm apart. Light source 1 with a wavelength of 460 nm illuminates the slits. The distance from the slits to the screen is 1.2 m a) Find the distance on the screen from the center of the interference pattern to the third node on the right. b) What wavelength of light from light source 2 will have the second order node where the first order maxima can be found from light source 1? 3. Monochromatic light of wavelength 520 nm falls onto a slit 0.031 mm wide. A screen is placed 3.0 m away. a) Find the distance on the screen from the second node to the left of the central maximum to the second secondary maximum on the right. b) Find the angular width of the central maximum.
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