Perhaps to confuse a predator, some tropical gyrinid beetles (whirligig beetles) are colored by optical interference that is due toscales whose alignment forms a diffraction grating (which scatters light instead of transmitting it). When the incident light rays areperpendicular to the grating, the angle between the first-order maxima (on opposite sides of the zeroth-order maximum) is about17° in light with a wavelength of 575 nm. What is the grating spacing of the beetle?UnitsNumberthe tolerance is +/-2%

Write the equation for diffraction maxima.

Answered: Perhaps to confuse a predator, some…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 76P: On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1°...

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Similar questions

On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.
A beam of light with wavelength 440 nm in air hits a thin piece of glass 10.28 microns thick (with refractive index 1.55) at an angle of 40.8 degrees to the normal. What is the path difference between the two reflections from the layers of the glass, in wavelengths? [Note to get the phase shift we multiply this number by 2π, but this is modulo 2π, i.e. any integer number of wavelengths are 2π phase shifts, equivalent to no phase shift... basically in terms of phase we only really need the non-integer part of your answer. Note also that for the phase shift we would need to add a π for the reflection off the glass-air interface.]
In a large vacuum chamber, monochromatic laserlight passes through a narrow slit in a thin aluminum plate and formsa diffraction pattern on a screen that is 0.500m from the slit. When thealuminum plate has a temperature of 20.0C, the width of the centralmaximum in the diffraction pattern is 2.75 mm. What is the change inthe width of the central maximum when the temperature of the plate israised to 520.0C? Does the width of the central diffraction maximumincrease or decrease when the temperature is increased?
An astronaut on the International Space Station (ISS) is experimenting with a solid-state green laser communications system from on-orbit at 435 km altitude to the earth's surface with a wavelength of 532nm and beam divergence (width) of 10 radians or 5.73 x 10-150 << 1°. The indices of refraction in free space and the atmosphere are no = 1.00000 ..., and na = 1.000293. Although density in the atmosphere varies continuously from the thinness of the upper atmosphere (near p → 0) to higher density at the surface, refraction can be modeled as a “surface' mid-atmosphere just like classic Snell's Law calculations. (d) What is the refracted wavelength, and the speed of the laser beam in air? (e) If the communications bit rate is the inverse of the laser frequency period [s], what is this bit rate?
A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^−7 ? is used to calibrate a reflection grating in a spectroscope. The first-orderdiffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?
Perhaps to confuse a predator, some tropical gyrinid beetles (whirligig beetles) are colored by optical interference that is due to scales whose alignment forms a diffraction grating (which scatters light instead of transmitting it). When the incident light rays are perpendicular to the grating, the angle between the firstorder maxima (on opposite sides of the zeroth-order maximum) is about 26° in light with a wavelength of 550 nm.What is the grating spacing of the beetle?
Prove that it is not possible to determine both wavelength of incident radiation and spacing of reflecting planes in a crystal by measuring the Bragg angles for several orders.
On the soap film (n=1,3), which is in the air, a normal beam of white light rays falls. At what is the smallest thickness d of the film, the reflected light with a wavelength of 0.65 microns will be maximally attenuated as a result of interference?
Consider a double-slit diffraction experiment with slits of width 0.260 mm. Monochromatic light of wavelength 435 nm is used. If the value of the parameter for a point that is an angular distance of 0.0120 rad from the center of the central diffraction peak is 31.76 rad, what must be the slit separation (in mm)?
What is the condition for path difference between two coherent monochromatic light sources to occur constructively? For the light to occur destructively?
An astronaut on the International Space Station (ISS) is experimenting with a solid-state green laser communications system from on-orbit at 435 km altitude to the earth’s surface with a wavelength of 532nm and beam divergence (width) of 10-6 radians or 5.73 x 10-15 ° << 1°. The indices of refraction in free space and the atmosphere are no =1.00000 …, and na = 1.000293. Although density in the atmosphere varies continuously from the thinness of the upper atmosphere (near ρ--> 0) to higher density at the surface, refraction can be modeled as a ‘surface’ mid-atmosphere just like classic Snell’s Law calculations. (a) When the ISS is directly above the laser communications receiver on the ground, what is θ2 ? (Draw a diagram) (b) (8) What is θ2 if θ1 is 45°? (c) What is the frequency of this laser transmitted from the ISS in free space, and in the atmosphere? (d) What is the refracted wavelength, and the speed of the laser beam in air? (e) If the communications bit rate is…
Monochromatic laser light flows through a small slit in a thin aluminum plate and generates a diffraction pattern on a screen 0.620 m from the slit in a huge vacuum chamber. When the aluminum plate is heated to 20.0C, the width of the diffraction pattern's center maximum is 2.75 mm. When the temperature of the plate is increased to 520.0C, what is the change in the breadth of the center maximum? When the temperature is raised, does the breadth of the center diffraction maximum rise or decrease?

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