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23 Nov 2019

Two diffraction gratings, A and B, are located at the samedistancefrom the observation screens. Light with the samewavelengthλ is used for each. Theseparation between adjacentprincipal maxima for grating A is 2.7cm, and for grating B it is3.2 cm. Grating A has 1592 lines permeter. How many lines per meterdoes grating B have? (Hint: Thediffraction angles are small enoughthat the approximationsin(θ) ~ tan(θ) can beused.)

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Two gratings A and B have slit separations dA and dB, respectively. They are used with the same light and the same observation screen. When grating A is replaced with grating B, it is observed that the first-order maximum of A is exactly replaced by the second-order maximum of B. (a) Determine the ratio dB/dA (No units) of the spacings between the slits of the gratings. Then find the next two principla maxima of grating A and the principal maxima of B that exactly replace them when the gratings are switched [(b) and (c) for the first pair, (d) and (e) for the second pair]. Identify these maxima by their order numbers (No units), listing the maxima for grating B first.

Two gratings A and B have slit separations dA and dB, respectively.They are used with the same light and the same observation screen.When grating A is replaced with grating B, it is observed that thefirst-order maximum of A is exactly replaced by the second-ordermaximum of B. (a) Determine the ratio dB/dA (No units) of thespacings between the slits of the gratings. Then find the next twoprincipla maxima of grating A and the principal maxima of B thatexactly replace them when the gratings are switched [(b) and (c)for the first pair, (d) and (e) for the second pair]. Identifythese maxima by their order numbers (No units), listing the maximafor grating B first.

would appreciate if anyone could help me with this!

*Chapter 27, Problem 50 GO

Light of wavelength 410 nm (in vacuum) is incident onadiffraction grating that has a slit separation of 1.2x10-5 m. The distance between the grating and theviewingscreen is 0.19 m. A diffraction pattern is produced on thescreenthat consists of a central bright fringe and higher-orderbrightfringes (see the drawing). (a) Determine the distance y fromthecentral bright fringe to the second-order bright fringe. (Hint:Thediffraction angles are small enough that the approximationtan(θ)~ sin(θ) can be used.)(b) If the entire apparatusis submerged inwater (nwater = 1.33), what is thedistance y?

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