2 Nā laʻana o nā nīnau e pili ana i nā mea hana maka aniani hoʻopili
1. Manaʻo ʻoe e hoʻohana ana i kahi aniani hoʻopili me ka mana o -5 diopters. Hoʻopili ʻia ka aniani hoʻopili i ka maka i hiki ai i ka mamao ma waena o ka aniani a me ka aniani nā aniani hoʻopili a ua manaʻo ʻia nā maka he ʻole.
(a) Ka hoʻohana ʻana i nā aniani hoʻopili aniani ʻūpā a i ʻole aniani ʻōpuʻu ?
(b) He aha ka lōʻihi o ke kikowaena o ke aniani?
(c) ʻO ʻoe ʻike kokoke a i ʻole ʻike mamao Inā ʻike kokoke ʻoe, he aha ka mamao loa e hiki ai i kou mau maka ke ʻike? Inā ʻike kokoke ʻoe, he aha ka mamao kokoke loa e hiki ai i ka maka ke ʻike?
Pahana
Ua ʻike ʻia :
Mana aniani (P) = -5 diopters
Pane :
(a) He aniani ʻūpā a he aniani ʻūpā paha?
He maikaʻi ʻole ka mana o ka lens, no laila ʻo ka lens i hoʻohana ʻia he lens maikaʻi ʻole, ʻo ia hoʻi he lens concave, ʻo ia hoʻi he lens diverging.
(b) He aha ka lōʻihi o ke kikowaena o ke aniani?
P = 1/f
-5 = 1/f
f = 1/-5 = -0,2 mika = -20 kenimika
ʻO ka lōʻihi o ke kikowaena o kahi aniani concave he 20 kenimika.
(c) He ʻike kokoke ʻoe a i ʻole he ʻike mamao?
Inā he lens concave ka lens i hoʻohana ʻia a laila ʻeha ʻoe ʻike kokokeInā ʻike kokoke ʻoe, he aha ka mamao loa e hiki ai i kou mau maka ke ʻike?
ʻO ke kiko mamao loa o ka maka maʻamau ka palena ʻole, ʻoiai ʻoe he ʻike kokoke, no laila ʻo ka mamao loa e hiki ai i kou maka ke ʻike he emi ma mua o ka palena ʻole. I mea e ʻike ai ka maka i nā mea ma ka palena ʻole e like me ka hiki i ka maka maʻamau, pono ka lens hoʻopili e hana i kiʻi ma kahi mamao o x cm i mua o ka lens. Aia ke kiʻi i mua o ka lens hoʻopili, no laila ua kū pololei a virtual ke kiʻi (e hoʻohālikelike i ka wehewehe ʻana ma ke kumuhana kiʻi aniani ʻūpā). No ka mea he virtual ke kiʻi, he maikaʻi ʻole ka mamao o ke kiʻi (s'). Pēlā nō, he maikaʻi ʻole ka lōʻihi o ke kikowaena o ka lens no ka mea ʻo ka lens hoʻopili i hoʻohana ʻia aniani ʻūpā.
-1/s' = 1/f – 1/s
-1/s' = -1/20 – 1/~ = -1/20 – 0
-1/s' = -1/20
s' = 20 kenimika
Hoʻopili ʻia kahi aniani hoʻopili i ka maka i mea e 20 kenimika ka mamao o ke kiʻi (s') i mua o ka maka a me ka aniani hoʻopili. ʻO 20 kenimika ka mamao loa e hiki ai i ka maka ʻike kokoke ke ʻike ma ka pilikia ma luna. ʻO ka mamao loa no ka maka maʻamau he palena ʻole.
2. Manaʻo ʻia e kau ana kou kaikaina i kahi aniani hoʻopili 1,5 diopter. Hoʻopili ʻia ka aniani hoʻopili i ka maka no laila ua manaʻo ʻia ka mamao ma waena o ka aniani hoʻopili a me ka maka he ʻole.
(a) Hoʻohana anei nā aniani hoʻopili i nā aniani concave a i ʻole convex?
(b) He aha ka lōʻihi o ke kikowaena o ke aniani?
(c) He ʻike kokoke a he ʻike mamao paha kou kaikunāne? Inā ʻike kokoke ʻoe, he aha ka mamao loa e hiki ai i kou mau maka ke ʻike? Inā ʻike kokoke ʻoe, he aha ka mamao kokoke loa e hiki ai i ka maka ke ʻike?
Pahana
Ua ʻike ʻia :
Mana aniani (P) = 1,5 diopters
Pane :
(a) He aniani ʻūpā a he aniani ʻūpā paha?
He maikaʻi ka mana o ka lens, no laila ʻo ka lens i hoʻohana ʻia he lens maikaʻi, ʻo ia hoʻi he lens convex, ʻo ia hoʻi he lens convergent.
(b) He aha ka lōʻihi o ke kikowaena o ke aniani?
P = 1/f
1,5 = 1/f
f = 1/ 1,5 = 0,67 mika = 67 kenimika
ʻO 67 kenimika ka lōʻihi o ke kikowaena o kahi aniani convex.
(c) He ʻike kokoke a ʻike mamao paha kou kaikunāne?
Inā he aniani convex ka aniani i hoʻohana ʻia, a laila e pilikia nā maka o kou kaikunāne. ʻike mamaoInā ʻike kokoke ʻoe, he aha ka mamao kokoke loa e hiki ai i nā maka o kou kaikunāne ke ʻike?
ʻO ke kiko kokoke o ka maka maʻamau he 25 kenimika. I mea e ʻike ai ka maka i kahi mea ma kahi mamao o 25 kenimika e like me ka maka maʻamau, pono ka lens hoʻopili e hana i kiʻi ma kahi mamao o x kenimika i mua o ka lens. Aia ke kiʻi i mua o ka lens hoʻopili i kū pololei a virtual ke kiʻi (e hoʻohālikelike i ka wehewehe ʻana ma ke kumuhana kiʻi aniani convex)He kiʻi paʻa ke kiʻi, no laila he hōʻailona maikaʻi ʻole ko ka mamao o ke kiʻi (s').
-1/s' = 1/f – 1/s
-1/s' = 1/67 – 1/25 = 25/1675 – 67/1675 = -42/1675
-s' = -1675/42 = -40 kenimika = -0,40 mika
s' = 40 kenimika = 0,40 mika
Hoʻopili ʻia kahi aniani hoʻopili i ka maka i mea e mamao ai ke kiʻi (s') ma mua o ka maka a me ka aniani hoʻopili he 40 kenimika. ʻO 40 kenimika ka mamao kokoke loa e hiki ai i ka maka ʻike kokoke ke ʻike ma ka pilikia ma luna. ʻO ka mamao kokoke loa no ka maka maʻamau he 25 kenimika.
Nā Nīnau Mea Hana Optical Lens Hoʻokaʻaʻike
1. Hoʻohana kekahi kaikamahine uʻi nā aniani hoʻopili -3,5 diopters. Ua kokoke loa ka lens hoʻopili i ka maka no laila e hoʻowahāwahā i ka mamao ma waena o ka lens hoʻopili a me ka maka.
(a) Hoʻohana anei nā aniani hoʻopili i nā aniani concave a i ʻole convex?
(b) He aha ka lōʻihi o ke kikowaena o ke aniani?
(c) Ke ʻeha nei ke kaikamahine uʻi i ka ʻike kokoke a i ʻole ka ʻike mamao? Inā ʻoe he ʻike kokoke, he aha ka mamao loa e hiki ai i kou mau maka ke ʻike? Inā ʻoe he ʻike kokoke, he aha ka mamao kokoke loa e hiki ai i ka maka ke ʻike?
Kī pane:
a = aniani hoʻokaʻawale = aniani maikaʻi ʻole = aniani….
b = 28,6 knm
c = ʻIke mamao. ʻO ka mamao loa = 28,6 kenimika
2. Hoʻohana kekahi kanaka ʻōpio maikaʻi nā aniani hoʻopili me ka mana o 5,5 diopters. Ua kokoke loa ka lens hoʻopili i ka maka no laila e hoʻowahāwahā i ka mamao ma waena o ka lens hoʻopili a me ka maka.
(a) Hoʻohana anei nā aniani hoʻopili i nā aniani concave a i ʻole convex?
(b) He aha ka lōʻihi o ke kikowaena o ke aniani?
(c) He ʻike kokoke a he ʻike mamao paha ke kanaka ʻōpio uʻi? Inā ʻike mamao, he aha ka mamao loa e hiki ai i ka maka ke ʻike? Inā ʻike mamao, he aha ka mamao kokoke loa e hiki ai i ka maka ke ʻike?
Kī pane:
a = aniani hoʻākoakoa = aniani maikaʻi = aniani….
b = 18,2 knm
c = ʻIke mamao. Ka mamao loa = 10,5 kenimika
