Ítarleg svör

Berðu saman samliðunarmynstur bylgjubeygju frá einni rauf, tveimur raufum og bylgjubeygjurist.

1. Öll þrjú samliðunarmynstrin mynda eins rákir.
2. Tvær raufar mynda skörpustu og greinilegustu rákirnar.
3. Ein rauf myndar skörpustu og greinilegustu rákirnar.
4. Bylgjubeygjuristin myndar skörpustu og greinilegustu rákirnar.

Rafstraumur í vetnisgasi myndar nokkrar greinilegar bylgjulengdir sýnilegs ljóss. Ljósinu er varpað á bylgjubeygjurist með $10.000$ línur á sentímetra. Hverjar eru bylgjulengdir vetnisrófsins ef ljósið myndar fyrsta stigs hágildi við hornin ${\mathrm{24,2}}^{\circ }$, ${\mathrm{25,7}}^{\circ }$, ${\mathrm{29,1}}^{\circ }$ og ${\mathrm{41,0}}^{\circ }$?

1. $//www.w3.org/1998/Math/MathML"\; display="inline"\; alttext="\lambda 1\; =\; (10³ nm)\; sin\; 24,2°\; =\; 410 nm">{\lambda }_1=\left({10}^3\text{ nm}\right)\sin {\mathrm{24,2}}^{\circ }=410\text{ nm}$ ${\lambda }_2=\left({10}^3\text{ nm}\right)\sin {\mathrm{25,7}}^{\circ }=434\text{ nm}$ ${\lambda }_3=\left({10}^3\text{ nm}\right)\sin {\mathrm{29,1}}^{\circ }=486\text{ nm}$ ${\lambda }_4=\left({10}^3\text{ nm}\right)\sin {\mathrm{41,0}}^{\circ }=656\text{ nm}$

2. $//www.w3.org/1998/Math/MathML"\; display="inline"\; alttext="\lambda 1\; =\; (10³ nm)\; sin\; 41,0°\; =\; 410 nm">{\lambda }_1=\left({10}^3\text{ nm}\right)\sin {\mathrm{41,0}}^{\circ }=410\text{ nm}$ ${\lambda }_2=\left({10}^3\text{ nm}\right)\sin {\mathrm{25,7}}^{\circ }=434\text{ nm}$ ${\lambda }_3=\left({10}^3\text{ nm}\right)\sin {\mathrm{29,1}}^{\circ }=486\text{ nm}$ ${\lambda }_4=\left({10}^3\text{ nm}\right)\sin {\mathrm{24,2}}^{\circ }=656\text{ nm}$

3. $//www.w3.org/1998/Math/MathML"\; display="inline"\; alttext="\lambda 1\; =\; (10³ nm)\; sin\; 24,2°\; =\; 410 nm">{\lambda }_1=\left({10}^3\text{ nm}\right)\sin {\mathrm{24,2}}^{\circ }=410\text{ nm}$ ${\lambda }_2=\left({10}^3\text{ nm}\right)\sin {\mathrm{29,1}}^{\circ }=434\text{ nm}$ ${\lambda }_3=\left({10}^3\text{ nm}\right)\sin {\mathrm{25,7}}^{\circ }=486\text{ nm}$ ${\lambda }_4=\left({10}^3\text{ nm}\right)\sin {\mathrm{41,0}}^{\circ }=656\text{ nm}$

4. $//www.w3.org/1998/Math/MathML"\; display="inline"\; alttext="\lambda 1\; =\; (10³ nm)\; sin\; 41,0°\; =\; 410 nm">{\lambda }_1=\left({10}^3\text{ nm}\right)\sin {\mathrm{41,0}}^{\circ }=410\text{ nm}$ ${\lambda }_2=\left({10}^3\text{ nm}\right)\sin {\mathrm{29,1}}^{\circ }=434\text{ nm}$ ${\lambda }_3=\left({10}^3\text{ nm}\right)\sin {\mathrm{25,7}}^{\circ }=486\text{ nm}$ ${\lambda }_4=\left({10}^3\text{ nm}\right)\sin {\mathrm{24,2}}^{\circ }=656\text{ nm}$