Ako tauira o te pokanoa me te whakarara o te māramatanga – te whatanga whakarara , kātahi ka mahi i ngā rapanga pokanoa me te whakawhitiwhiti o te mārama.
1. Kua tāutahia he whatanga whakarara, e 4000 ngā rārangi ia 1 cm, ki te tawhiti o te 1 mita mai i te āputa e whakamāramahia ana. Tātaihia te roanga ngaru o te mārama mēnā ko te ahua tuatahi te rahinga nui rawa atu he 30 cm mai i te āputa.
Kōrero
E mōhiotia ana:
d = 1 / (4000 rārangi / cm) = 0,00025 cm = 2,5 x 10-4 henimita = 2,5 x 10-6 m
l = 1 mita
y = 30 henimita = 0,3 mita
I pātaihia: te roanga ngaru (lambda)
Whakautu:
He iti rawa te koki, ā, ka taea e te hara te tit te whakatata atu ki te pātaki tit
Whakaahuatanga: nm = nanometa, m = mita
2. Ka whakawehewehea te mārama he 540 nm te roangaru e tētahi whatanga he 2400 ngā rārangi/cm. Tāutuhia te koki whakawehewehe tuarua!
Kōrero
E mōhiotia ana:
Roangaru = 540 nm = 540 x 10-9 m = 5,40 x 10-7 m
d = 1 / (2400 rārangi/cm) = 0,0004 cm = 4 x 10-4 henimita = 4 x 10-6 m
n = 2 (te raupapa tuarua)
I pātaihia: koki whakarara tuarua (n = 2)
Whakautu:

3. Kei te anga poutū te hihi mārama me te roangaru o te 9450 Å ki tētahi whatanga whakarara. Ka puta te whakararuraru mōrahi i te koki o te 30°. Ko te maha o ngā karawarawa i runga i te whatanga mō ia henimita ko…
A. 5291 ngā āputa
B. 5200 ngā āputa
C. 5560 āputa
Ngā āputa D. 5650
E. 5670 āputa
Kōrero:
E mōhiotia ana :
I pātaihia :
He maha ngā karawarawa kei runga i te kupenga i ia 1 henemita.
Whakautu :
He maha ngā karawarawa, ngā āputa rānei mō ia 1 henemita:
1/18900 x 10-8 henimita = 5291 whiu / henimita
Ko te whakautu tika ko A.
4. Ka whakamahia he kupenga he 2000 ngā rārangi mō ia henimita hei whakatau i te roangaru o te mārama. Ko te koki i waenganui i te rārangi pokapū me te rārangi tuatahi ko te 12.o (hara 12o = 0,208). He aha te roangaru o te mārama?
A. 10400 Å
B. 10000 Å
C. 9640 Å
D. 9550 Å
E. 8750 Å
Kōrero:
E mōhiotia ana :
I pātaihia :
Roanga ngaru?
Whakautu :
Ko te whakautu tika ko A.
Ngā pātai mō te pokanoa me te wehewehenga o te māramatanga – te whatanga wehewehenga
1. Kua tāutahia he whatanga whakarara, e 3000 ngā rārangi mō ia 1 cm, ki te tawhiti o te 2 mita mai i te āputa e whakamāramahia ana. Tātaihia te roanga ngaru o te mārama mēnā ko te ahua tuatahi te tūnga mōrahi he 20 cm mai i te āputa.
2. Ka whakawehewehea te mārama he 540 nm te roangaru e tētahi whatanga he 2500 ngā rārangi/cm. Tāutuhia te koki whakawehewehe tuatoru!