Two slits of width 1.5 μm, each in an opaque material, are separated by a center-to-center distance of 3 μm. A monochromatic light of wavelength 510 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. Hint a. How many peaks of the interference will be observed in the central maximum of the diffraction pattern? There are peaks in the central maximum. b. How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? There are peaks in the central maximum now. c. How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 6 μm, while keeping the widths of the slits same? There are peaks in the central maximum now. d. What will happen in (a) if instead of 510-nm light another light of wavelength 510 nm is used? O In addition to other changes, the number of peaks of interference in the central maximum decreases. O The number of peaks of interference in the central maximum remains the same, but the overall pattern becomes narrower. O There are no changes. O The number of peaks of interference in the central maximum remains the same, but the overall pattern becomes wider.

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter4: Diffraction
Section: Chapter Questions
Problem 34P: Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of...
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Two slits of width 1.5 μm, each in an opaque material, are separated by a center-to-center distance
of 3 μm. A monochromatic light of wavelength 510 nm is incident on the double-slit. One finds a
combined interference and diffraction pattern on the screen.
Hint
a. How many peaks of the interference will be observed in the central maximum of the
diffraction pattern?
There are
peaks in the central maximum.
b. How many peaks of the interference will be observed if the slit width is doubled while keeping
the distance between the slits same?
There are
peaks in the central maximum now.
c. How many peaks of interference will be observed if the slits are separated by twice the
distance, that is, 6 μm, while keeping the widths of the slits same?
There are
peaks in the central maximum now.
d. What will happen in (a) if instead of 510-nm light another light of wavelength 510 nm is used?
O In addition to other changes, the number of peaks of interference in the central
maximum decreases.
O The number of peaks of interference in the central maximum remains the same, but the
overall pattern becomes narrower.
O There are no changes.
O The number of peaks of interference in the central maximum remains the same, but the
overall pattern becomes wider.
Transcribed Image Text:Two slits of width 1.5 μm, each in an opaque material, are separated by a center-to-center distance of 3 μm. A monochromatic light of wavelength 510 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. Hint a. How many peaks of the interference will be observed in the central maximum of the diffraction pattern? There are peaks in the central maximum. b. How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? There are peaks in the central maximum now. c. How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 6 μm, while keeping the widths of the slits same? There are peaks in the central maximum now. d. What will happen in (a) if instead of 510-nm light another light of wavelength 510 nm is used? O In addition to other changes, the number of peaks of interference in the central maximum decreases. O The number of peaks of interference in the central maximum remains the same, but the overall pattern becomes narrower. O There are no changes. O The number of peaks of interference in the central maximum remains the same, but the overall pattern becomes wider.
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