Problem 5: Consider a 525 nm light falling on a single slit of width 1.3 µm.Randomized Variablesλ = 525 nmw = 1.3 μmAt what angle (in degrees) is the first minimum for the light?0 = ||sin()cos()cotan()asin()atan() acotan()cosh()tanh()O Degreestan()acos()sinh()cotanh()Radiansπ()E ^^^ 4 5127 8 963*+0VO BACKSPACEDELHOMEENDCLEAR

Given Data:- Wavelength of the light is λ=525 nm =525nm×10-9 m1 nm =5.25×10-7 m Width of the…

Answered: Problem 5: Consider a 525 nm light…

Problem 5: Consider a 525 nm light falling on a single slit of width 1.3 µm. Randomized Variables λ = 525 nm w = 1.3 μm ▷ A At what angle (in degrees) is the first minimum for the light? 0 =

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 5CQ: In our study of diffraction by a single slit, we assume that the length of the slit is much larger...

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

Problem 5: Consider a 525 nm light falling on a single slit of width 1.3 µm.
Randomized Variables
λ = 525 nm
w = 1.3 μm
At what angle (in degrees) is the first minimum for the light?
0 = ||
sin()
cos()
cotan()
asin()
atan() acotan()
cosh()
tanh()
O Degrees
tan()
acos()
sinh()
cotanh()
Radians
π
()
E ^^^ 4 5
1
2
7 8 9
6
3
*
+
0
VO BACKSPACE
DEL
HOME
END
CLEAR

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The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.
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Check Your Understanding If the line spacing of a diffraction grating d is not precisely known, we can use a light source with a well-determined wavelength to measure it. Suppose the first-order constructive fringe of the H emission line of hydrogen (=656.3nm) is measured at 11.36° using a spectrometer with a diffraction grating. What is the line spacing of this grating?
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Problem 2: Consider light that has its third minimum at an angle of 23.6° when it falls on a single slit of width 3.55 μm. Randomized Variables 9 = 23.6° w = 3.55 um D Find the wavelength of the light in nanometers. λ=1 sin() cos() cotan() asin() atan() acotan() tanh() cosh() O Degrees Hints: 2% deduction per hint. Hints remaining: 2 Submit tan() JU acos() E sinh() cotanh() Radians Hint ( + 7 8 9 4 5 6 1 0 VO BACKSPACE Feedback 2 3 All content © 2022 Expert TA, LLC DEL HOME END I give up! Feedback: 2% deduction per feedback. CLEAR