Mathematical and Physical Journal
for High Schools
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# Problem P. 4636. (April 2014)

P. 4636. The width of the slits in a diffraction grating is one-$\displaystyle n$-th of the grating constant. The diffraction grating of grating constant $\displaystyle d$ is illuminated perpendicularly by monochromatic laser light of wavelength $\displaystyle \lambda$, and the diffraction pattern is examined on a screen at a distance of $\displaystyle L\gg d$. Give the position of the different order diffraction lines on the screen.

(5 pont)

Deadline expired on May 12, 2014.

Sorry, the solution is available only in Hungarian. Google translation

Megoldásvázlat. Az ernyőn az optikai tengelytől (közelítőleg) $\displaystyle s_k=k\cdot\lambda L/d$ távolságra ($\displaystyle k=0,\,\pm1,\,\pm2,\ldots)$ éles vonalak jelennek meg, ezek intenzitása azonban nem egyenletes, hanem $\displaystyle \sin^2(k\pi/n)/k^2$-tel arányos, így pl. egész $\displaystyle n$ esetén minden $\displaystyle n$-edik vonal hiányzik.

### Statistics:

 12 students sent a solution. 5 points: Fehér Zsombor, Horicsányi Attila, Janzer Barnabás, Sal Kristóf, Sárvári Péter, Trócsányi Péter. 4 points: Antalicz Balázs, Dinev Georgi, Marosvári Kristóf, Tanner Martin. 3 points: 2 students.

Problems in Physics of KöMaL, April 2014