8. Coherent light of wavelength 501.5 nm is sent through two GP parallel slits in an opaque material. Each slit is 0.700 um wide. Their centers are 2.80 um apart. The light then falls on a semicylindrical screen, with its axis at the midline between the slits. We would like to describe the appearance of the pattern of light visible on the screen. (a) Find the direction for each two-slit interference maximum on the screen as an angle away from the bisector of the line joining the slits. (b) How many angles are there that represent two-slit inter- ference maxima? (c) Find the direction for each single-slit interference minimum on the screen as an angle away from the bisector of the line joining the slits. (d) How many angles are there that represent single-slit interference minima? (e) How many of the angles in part (d) are identical to those in part (a)? (f) How many bright fringes are visible on the screen? (g) If the intensity of the central fringe is I what is the intensity of the last fringe visible on the screen?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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8. Coherent light of wavelength 501.5 nm is sent through two
GP parallel slits in an opaque material. Each slit is 0.700 um
wide. Their centers are 2.80 um apart. The light then falls on
a semicylindrical screen, with its axis at the midline between
the slits. We would like to describe the appearance of the
pattern of light visible on the screen. (a) Find the direction
for each two-slit interference maximum on the screen as
an angle away from the bisector of the line joining the slits.
(b) How many angles are there that represent two-slit inter-
ference maxima? (c) Find the direction for each single-slit
interference minimum on the screen as an angle away from
the bisector of the line joining the slits. (d) How many angles
are there that represent single-slit interference minima?
(e) How many of the angles in part (d) are identical to those
in part (a)? (f) How many bright fringes are visible on the
screen? (g) If the intensity of the central fringe is Imas what is
the intensity of the last fringe visible on the screen?
Transcribed Image Text:8. Coherent light of wavelength 501.5 nm is sent through two GP parallel slits in an opaque material. Each slit is 0.700 um wide. Their centers are 2.80 um apart. The light then falls on a semicylindrical screen, with its axis at the midline between the slits. We would like to describe the appearance of the pattern of light visible on the screen. (a) Find the direction for each two-slit interference maximum on the screen as an angle away from the bisector of the line joining the slits. (b) How many angles are there that represent two-slit inter- ference maxima? (c) Find the direction for each single-slit interference minimum on the screen as an angle away from the bisector of the line joining the slits. (d) How many angles are there that represent single-slit interference minima? (e) How many of the angles in part (d) are identical to those in part (a)? (f) How many bright fringes are visible on the screen? (g) If the intensity of the central fringe is Imas what is the intensity of the last fringe visible on the screen?
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