8 mau laʻana o nā nīnau Microscope
1. He microscope ʻelua mau aniani convex. Lensa convex ʻO ka mea kokoke i ka mea a i ʻole ka mea i kapa ʻia ʻo ka lens objective a ʻo ka lens convex e kokoke ana i ka maka o ka mea nānā ua kapa ʻia ʻo ka lens ocular. ʻO ka lōʻihi o ke kikowaena o ka lens objective he 2 cm a ʻo ka lōʻihi o ke kikowaena o ka lens ocular he 5 cm. ʻO ka mamao ma waena o ka lens objective a me ka lens ocular he 30 cm. Inā maʻamau ka maka o ka mea nānā a he liʻiliʻi loa kona noho ʻana, e hoʻoholo: (a) ka hoʻonui piha ʻana o ka microscope, (b) ka mamao o ka mea mai ka lens objective.
Pahana
Ua ʻike ʻia:
ʻO ka lōʻihi o ke kikowaena o ka lens objective (fob) = 2 kenimika
ʻO ka lōʻihi o ke kikowaena o ka lens eyepiece (fok) = 5 kenimika
ʻO ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka (l) = 30 kenimika
Kokoke i kahi kiko mata maʻamau (N) = 25 kenimika
Pane:
(a) Hoʻonui piha ʻia o ka microscope
ʻO ke ʻano hoʻonui holoʻokoʻa no kahi microscope:
M = mob Mok
Wehewehe: M = ka hoʻonui piha ʻana o ka microscope, mob = ka hoʻonui linear o ke aniani pahuhopu, Mok = ka hoʻonui kihi o ka lens o ka maka maka.
Hoʻonui laina o ka lens objective ke hiki ka maka i ka palena iki o ka noho ʻana (mob):
ʻO ka mamao o ke kiʻi mai ke aniani pahuhopu (sob') :
sob' = l – fok = 30 kenimika – 5 kenimika = 25 kenimika
ʻO ka mamao o ka mea mai ke aniani pahuhopu (sob):

He aniani convex ka aniani pahuhopu no laila he maikaʻi ka lōʻihi o ke kikowaena o ka aniani. He ʻoiaʻiʻo ke kiʻi no laila he maikaʻi ka mamao o ke kiʻi (s ob ').
Hoʻonui laina o ka lens objective:
![]()
ʻO ka hoʻonui ʻana o ke aniani maka i ka wā e noho ai ka maka ma ka liʻiliʻi loa (Mok):
Mok = N / fok = 25 kenimika / 5 kenimika = 5 mau manawa
Hoʻonui piha ʻia o ka microscope:
M = mob Mok = (12,5)(5) = 62,5 mau manawa
(b) Ka mamao o ka mea mai ke aniani pahuhopu (s)ob)
Ua loaʻa ka mamao o ka mea mai ke aniani pahuhopu ma ka helu ʻana ma mua.
ʻO ka mamao o ka mea mai ke aniani ʻike maka he 2 kenimika.
2. Hoʻohana kekahi kanaka me nā maka maʻamau i kahi microscope māmā e nānā i kahi mea. ʻO ka mamao ma waena o ka lens objective a me ka lens eyepiece he 15 cm. He 5 mau manawa ka hoʻonui linear o ka lens objective a he 20 mau manawa ka hoʻonui angular o ka lens eyepiece. Inā ua liʻiliʻi loa ka noho ʻana o ka maka, e hoʻoholo: (a) ka hoʻonui holoʻokoʻa o ka microscope, (b) ka lōʻihi o ke kikowaena o ka lens eyepiece, (c) ka lōʻihi o ke kikowaena o ka lens objective.
Pahana
Ua ʻike ʻia:
Hoʻonui laina o ka lens objective (mob) = 5 mau manawa
Hoʻonui kihi o ka aniani maka (Mok) = 20 mau manawa
Kokoke i ke kiko o ka maka maʻamau (N) = 25 kenimika
Ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka = Ka lōʻihi o ka microscope (l) = 15 kenimika
Pane:
(a) Ka hoʻonui piha ʻana o ka microscope (M)
ʻO ke ʻano hoʻonui holoʻokoʻa no kahi microscope:
M = mob Mok
Hoʻonui piha ʻia o ka microscope:
M = (5)(20) = 100 mau manawa
(b) Ka lōʻihi o ke kikowaena o ka aniani maka (fok)
ʻO ke ʻano hana no ka hoʻonui ʻana o ke kihi o ka lens eyepiece (Mok) microscope i ka wā e noho pono ai ka maka:
Mok = N / fok
E hoʻololi i kēia haʻilula e helu i ka lōʻihi o ke kikowaena o ka lens eyepiece (fok):
fok = N / Mok = 25 kenimika / 20 = 1,25 kenimika
(c) Ka lōʻihi o ke kikowaena o ka lens objective (fob)
ʻO ke ʻano hana no ka hoʻonui linear o ka lens objective (mob) ka noho ʻana o ka maka ʻano microscope no ka liʻiliʻi loa:
![]()
Ua kāpae ʻia ka hōʻailona maikaʻi ʻole e hōʻike ana ua hoʻohuli ʻia ke kiʻi mai kēia haʻilula.
ʻO ka mamao o ke kiʻi maoli mai ke aniani pahuhopu (sob') :
sob' = l – fok = 15 kenimika – 1,25 kenimika = 13,75 kenimika
ʻO ka mamao o ka mea mai ke aniani pahuhopu (sob):
![]()
Ka lōʻihi o ke kikowaena o ka lens objective (f ob ):

ʻO ka lōʻihi o ke kikowaena o ka lens objective he 2,29 kenimika
He aniani convex ka aniani pahuhopu no laila he maikaʻi ka lōʻihi o ke kikowaena o ka aniani. He ʻoiaʻiʻo ke kiʻi no laila ʻo ka mamao o ke kiʻi (s)ob') ua hōʻailona ʻia he maikaʻi.
ʻOi aku ka nui o ka mamao o ka mea (s ob = 2,75 kenimika) ma mua o ka lōʻihi o ke kikowaena o ka lens pahuhopu (f ob = 2,29 kenimika). Kūlike kēia me ka ʻoiaʻiʻo e pono e kau ʻia ka mea i nānā ʻia me ka hoʻohana ʻana i kahi microscope kokoke i ke kikowaena o ka lens pahuhopu i hiki ai i ka lens pahuhopu ke hoʻopuka i kahi kiʻi maoli me ka hoʻonui linear kiʻekiʻe loa.
3. E nānā i ke kiʻi o ke ala o nā kukuna mālamalama e hana ana i kiʻi ma ka microscope aʻe. ʻO ka mamao ma waena o ka lens objective a me ka lens eyepiece o ka microscope he…
A. 20 kenimika
B. 24 kenimika
C. 25 kenimika
D. 27 kenimika
E. 29 kenimika
Pahana
microscope hoʻohana ʻia e nānā i nā mea liʻiliʻi loa a i ʻole nā mea i ʻike pololei ʻole ʻia me ka maka. ʻO ka microscope maʻalahi loa he ʻelua mau aniani converging, i ʻike ʻia hoʻi he mau aniani convex. ʻO ka lens kokoke loa i ka mea i kapa ʻia ʻo aniani hoʻohālikelikeʻO ka lens e kokoke ana i ka maka ua kapa ʻia ʻo aniani maka a i ʻole aniani makaHana ka lens objective e hana i kahi kiʻi maoli. ʻO ke kiʻi maoli i hana ʻia e ka lens objective e ʻike ʻia he mea e ka lens eyepiece. A laila hoʻonui ka lens eyepiece i ke kiʻi i hiki ke ʻike maopopo ʻia e ka maka.
Ua ʻike ʻia :
ʻO ka lōʻihi o ke kikowaena o ka lens objective (fob) = 1,8 kenimika (kikowaena maikaʻi no ka mea he convex/convex ke aniani)
ʻO ka lōʻihi o ke kikowaena o ka lens eyepiece (fok) = 6 kenimika (kikowaena maikaʻi no ka mea he convex/convex ke aniani)
ʻO ka mamao o ka mea mai ke aniani pahuhopu (sob) = 2 kenimika (ka mamao o ka mea maikaʻi no ka mea e hele ana ke kukui ma waena o ka mea)
Ua nīnau ʻia : Ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka maka mai ka microscope (ka lōʻihi o ka paipu = l)
Pane :
ʻO ka mamao o ke kiʻi mai ke aniani pahuhopu (sob') :
1 / sob + 1/sob' = 1/fob
1 / sob' = 1/fob – 1/sob
1 / sob' = 1/1,8- 1/2 = 10/18- 9/18 = 1/18
sob' = 18 kenimika
Aia pololei ke kiʻi i hoʻokumu ʻia e ka lens objective ma ke kiko mua o ka lens eyepiece, e like me ka mea i hōʻike ʻia ma ke kiʻi ma luna.
Ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka (lōʻihi o ka paipu = l) :
l = sob' + fok = 18 kenimika + 6 kenimika = 24 kenimika
ʻO ka pane pololei ʻo B.
3. E nānā i ke kiʻikuhi ma lalo nei o ke kūkulu ʻia ʻana o ke kiʻi ma kahi microscope. ʻO ka mamao o ka mea mai ke aniani pahuhopu he 1,1 cm, ʻo ka lōʻihi o ke kikowaena o ka pahuhopu he 1 cm, a ʻo ka lōʻihi o ke kikowaena o ka maka he 5 cm. ʻO ka hoʻonui ʻia o ke kiʻi ma ka microscope…
A. 25 mau manawa
B. 30 mau manawa
C. 40 mau manawa
D. 50 mau manawa
E. 55 mau manawa
Pahana
Ua ʻike ʻia :
ʻO ka mamao o ka mea mai ke aniani pahuhopu (sob) = 1,1 kenimika (ka mamao o ka mea maikaʻi no ka mea e hele ana ke kukui ma waena o ka mea)
ʻO ka lōʻihi o ke kikowaena o ka lens objective (fob) = 1 kenimika (kikowaena maikaʻi no ka mea he convex/convex ke aniani)
ʻO ka lōʻihi o ke kikowaena o ka lens eyepiece (fok) = 5 kenimika (kikowaena maikaʻi no ka mea he convex/convex ke aniani)
Ua nīnau ʻia : Hoʻonui kiʻi microscope (M)
Pane :
ʻO ka hoʻonui piha ʻana o kahi microscope ka huahana o ka hoʻonui ʻana o ka lens objective (mob) a me ka hoʻonui kihi o ka lens eyepiece (Mok).
Hoʻonui ʻana i ka lens pahuhopu
ʻAno hoʻonui aniani pahuhopu (mob) :
mob = hob'/hob = sob'/sob = (l – fok)/sob
ʻIkepili:
hob' = ke kiʻekiʻe o ke kiʻi i hoʻokumu ʻia e ka lens objective
hob = ke kiʻekiʻe o ka mea
sob' = ka mamao o ke kiʻi mai ke aniani pahuhopu
sob = ka mamao o ka mea mai ke aniani pahuhopu
fok = ke kiko o ka aniani maka
l = ka lōʻihi o ka paipu = ka mamao ma waena o nā aniani ʻelua = ka mamao o ke kiʻi i hoʻokumu ʻia e ka aniani pahuhopu (s)ob') + ka lōʻihi o ke kikowaena o ka lens eyepiece (fok)
ʻO ka mamao o ke kiʻi mai ke aniani pahuhopu (sob') :
E helu mua i ka mamao o ke kiʻi mai ke aniani hoʻohālikelike.
1 / sob + 1/sob' = 1/fob
1 / sob' = 1/fob – 1/sob
1 / sob' = 1/1- 1/1,1 = 11/11 – 10/11 = 1/11
sob' = 11 kenimika
Aia pololei ke kiʻi i hoʻokumu ʻia e ka lens objective ma ke kiko mua o ka lens eyepiece, e like me ka mea i hōʻike ʻia ma ke kiʻi ma luna.
Hoʻonui ʻia ke aniani pahuhopu (mob) :
mob = sob'/sob = 11 kenimika / 1,1 kenimika = 10
Hoʻonui ʻia ke aniani maka
Inā ua emi loa ka noho ʻana o ka maka a ua hoʻomaha paha ka maka, kahi i loaʻa ai ke kiʻi i hana ʻia e ka lens eyepiece ma kahi mamao palena ʻole e like me ka mea i hōʻike ʻia ma ke kiʻi kokoke i ka lens eyepiece ma luna (ʻelua mau laina pololei like) a laila ke ʻano no ka hoʻonui ʻana o ke kihi o ka lens eyepiece (Mok) ʻo ia hoʻi:
Mok = N / fok
ʻIkepili:
N = kahi kokoke i ka maka maʻamau (25 kenimika)
fok = ka lōʻihi o ke kikowaena o ke aniani maka = 5 kenimika
Hoʻonui kihi o ka aniani maka (Mok) :
Mok = N / fok = 25 kenimika / 5 kenimika = 5
Hoʻonui piha ʻia o ka microscope
M = mob x Mok = 10 x 5 = 50
ʻO D ka pane pololei.
5. E nānā i ke kiʻikuhi ma lalo nei o ke kūkulu ʻia ʻana o ke kiʻi me ka hoʻohana ʻana i kahi microscope!

Inā he kukuna like ke kukuna o ke kukui e puka mai ana mai ka aniani maka, a he ʻike maʻamau ka maka e nānā ana, a laila ʻo ka hoʻonui ʻana o ka microscope he …. (Sn = 25 cm)
A. 10 mau manawa
B. 18 mau manawa
C. 22 mau manawa
D. 30 mau manawa
E. 50 mau manawa
Pahana
Ua ʻike ʻia:
Ka lōʻihi o ke kikowaena o ke aniani pahuhopu (f ob ) = 2 kenimika
Ka mamao o ka mea mai ke aniani pahuhopu (s ob ) = 2,2 kenimika
Wahi kokoke maʻamau (N) = 25 kenimika
Ka lōʻihi o ke kikowaena o ke aniani maka (f ok ) = 25 kenimika
Ua nīnau ʻia: M
Pane:
Inā mamao loa ke kiʻi hope loa, e hoʻokipa iki ka maka, i ka ʻaoʻao ʻē aʻe, inā mamao loa ke kiʻi, e hoʻokipa nui ka maka. Hōʻike ke kiʻi hope loa ma ke kiʻi ma luna i kahi kiʻi mamao loa, no laila e hoʻokipa iki ka maka.

ʻO ka mea mua, e helu i ka mamao o ke kiʻi mai ka lens pahuhopu (s ob '). He lens convex ka lens pahuhopu, no laila ua helu ʻia ka mamao o ke kiʻi me ka hoʻohana ʻana i ke ʻano lens convex. He maikaʻi ka lōʻihi o ke kikowaena o kahi lens convex no ka mea ke hele nei ke kukui ma o ke kiko kikowaena o ka lens convex.
1/s ob ' = 1/f ob – 1/s ob = 1/2 – 1/2,2 = 11/22 – 10/22 = 1/22
s ob ' = 22/1 = 22 kenimika
No laila, ʻo ke ʻano hoʻonui o ke kiʻi microscope penei:
![]()
ʻO A ka pane pololei.
6. E nānā i ke kiʻi o ke ala o ke kukuna mālamalama e hana ana i ke kiʻi ma ka microscope aʻe:

ʻO ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka o ka microscope he…
A. 20 kenimika
B. 24 kenimika
C. 25 kenimika
D. 27 kenimika
E. 29 kenimika
Pahana
Hoʻohana ʻia nā microscopes e nānā i nā mea liʻiliʻi loa a i ʻole nā mea i hiki ʻole ke ʻike pololei ʻia me ka maka ʻōlohelohe. ʻO ka microscope maʻalahi loa he ʻelua mau aniani converging, i ʻike ʻia hoʻi he mau aniani convex. ʻO ka lens kokoke loa i ka mea i kapa ʻia ʻo ka lens objective . ʻO ka lens kokoke loa i ka maka i kapa ʻia ʻo ka lens ocular a i ʻole eyepiece . Hana ka lens objective e hana i kahi kiʻi maoli. ʻO ke kiʻi maoli i hana ʻia e ka lens objective e ʻike ʻia he mea e ka eyepiece. A laila hoʻonui ka eyepiece i ke kiʻi i hiki ke ʻike maopopo ʻia e ka maka.
Ua ʻike ʻia :
ʻO ka lōʻihi o ke kikowaena o ka lens objective (f ob ) = 1,8 kenimika (kikowaena maikaʻi no ka mea he convex/convex ka lens)
ʻO ka lōʻihi o ke kikowaena o ka lens eyepiece (f ok ) = 6 kenimika (kikowaena maikaʻi no ka mea he convex/convex ka lens)
Ka mamao o ka mea mai ke aniani pahuhopu (s ob ) = 2 kenimika (ka mamao o ka mea maikaʻi no ka mea e hele ana ke kukui ma o ka mea)
Nīnau : Ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka maka mai ka microscope (lōʻihi o ka paipu = d)
Pane :
ʻO ka mamao o ke kiʻi mai ke aniani pahuhopu (sob') :
1/s ob + 1/s ob ' = 1/f ob
1/s ob ' = 1/f ob – 1/s ob
1/s ob ' = 1/1,8 – 1/2 = 10/18 – 9/18 = 1/18
s ob ' = 18 kenimika
Aia pololei ke kiʻi i hoʻokumu ʻia e ka lens objective ma ke kiko mua o ka lens eyepiece, e like me ka mea i hōʻike ʻia ma ke kiʻi ma luna.
Ka mamao ma waena o ke aniani pahuhopu a me ke aniani maka (lōʻihi o ka paipu = d) :
l = s ob ' + f ok = 18 kenimika + 6 kenimika = 24 kenimika
ʻO ka pane pololei ʻo B.
7. E nānā i ke kiʻikuhi ma lalo nei o ke kūkulu ʻia ʻana o ke kiʻi ma ka microscope.

ʻO ka mamao o ka mea mai ke aniani pahuhopu he 1,1 kenimika, ʻo ka lōʻihi o ke kikowaena o ka pahuhopu he 1 kenimika a ʻo ka lōʻihi o ke kikowaena o ka maka he 5 kenimika, no laila ʻo ka hoʻonui ʻia ʻana o ke kiʻi microscope he...
A. 25 mau manawa
B. 30 mau manawa
C. 40 mau manawa
D. 50 mau manawa
E. 55 mau manawa
Pahana
Ua ʻike ʻia :
Ka mamao o ka mea mai ke aniani pahuhopu (s ob ) = 1,1 kenimika (ka mamao o ka mea maikaʻi no ka mea e hele ana ke kukui ma o ka mea)
ʻO ka lōʻihi o ke kikowaena o ka lens objective (f ob ) = 1 kenimika (kikowaena maikaʻi no ka mea he convex/convex ka lens)
ʻO ka lōʻihi o ke kikowaena o ka lens eyepiece (f ok ) = 5 kenimika (kikowaena maikaʻi no ka mea he convex/convex ka lens)
Nīnau : Hoʻonui ʻia ke kiʻi microscope (M)
Pane :
ʻO ka hoʻonui holoʻokoʻa o kahi microscope ka huahana o ka hoʻonui linear o ka lens objective (m ob ) a me ka hoʻonui angular o ka lens eyepiece (M ok ).
Hoʻonui ʻana i ka lens pahuhopu
ʻO ke ʻano hana no ka hoʻonui linear o ka lens objective (m ob ) :
m ob = h ob '/h ob = s ob '/s ob = (l – f ok )/s ob
ʻIkepili:
h ob ' = ke kiʻekiʻe o ke kiʻi i hoʻokumu ʻia e ka lens objective
h ob = ke kiʻekiʻe o ka mea
s ob ' = ka mamao o ke kiʻi mai ke aniani pahuhopu
s ob = ka mamao o ka mea mai ke aniani pahuhopu
f ok = ke kiko o ka aniani maka
l = ka lōʻihi o ka paipu = ka mamao ma waena o nā aniani ʻelua = ka mamao o ke kiʻi i hoʻokumu ʻia e ka aniani pahuhopu (s ob ') + ka lōʻihi o ke kikowaena o ka aniani maka (f ok )
ʻO ka mamao o ke kiʻi mai ke aniani pahuhopu (sob') :
E helu mua i ka mamao o ke kiʻi mai ke aniani hoʻohālikelike.
1/s ob + 1/s ob ' = 1/f ob
1/s ob ' = 1/f ob – 1/s ob
1/s ob ' = 1/1 – 1/1,1 = 11/11 – 10/11 = 1/11
s ob ' = 11 kenimika
Aia pololei ke kiʻi i hoʻokumu ʻia e ka lens objective ma ke kiko mua o ka lens eyepiece, e like me ka mea i hōʻike ʻia ma ke kiʻi ma luna.
Hoʻonui ʻia ke aniani pahuhopu (mob) :
m ob = s ob '/s ob = 11 knm / 1,1 knm = 10
Hoʻonui ʻia ke aniani maka
Inā ua emi loa ka noho ʻana o ka maka a ua hoʻomaha paha ka maka, kahi i loaʻa ai ke kiʻi i hana ʻia e ka lens eyepiece ma kahi mamao palena ʻole e like me ka mea i hōʻike ʻia ma ke kiʻi kokoke i ka lens eyepiece ma luna (ʻelua laina pololei like) a laila ʻo ke ʻano hana no ka hoʻonui angular o ka lens eyepiece (M ok ) penei:
ʻAe ʻo M = ʻAʻole / ʻae ʻo F
ʻIkepili:
N = kahi kokoke i ka maka maʻamau (25 kenimika)
f ok = ka lōʻihi o ke kikowaena o ke aniani maka = 5 kenimika
Hoʻonui kihi o ka aniani maka (Mok) :
M ok = N / f ok = 25 kenimika / 5 kenimika = 5
Hoʻonui piha ʻia o ka microscope
M = m ob x M ok = 10 x 5 = 50
ʻO D ka pane pololei.
8. E nānā i ke kiʻi o ke ala o ke kukuna mālamalama e hana ana i ke kiʻi ma ka microscope aʻe:

ʻO ka mamao ma waena o ke aniani maka a me ke aniani maka o ka microscope he….
A. 20 kenimika
B. 24 kenimika
C. 25 kenimika
D. 27 kenimika
E. 29 kenimika
Pahana
Ua ʻike ʻia:
Ka mamao o ka mea mai ke aniani pahuhopu (s ob ) = 2 kenimika
Ka lōʻihi o ke kikowaena o ke aniani pahuhopu (f ob ) = 1,8 kenimika
ʻO ka mamao o ke kiʻi maoli mai ka lens eyepiece (s ok ) = 6 kenimika
Ka lōʻihi o ke kikowaena o ke aniani maka (f ok ) = 6 kenimika
Nīnau: Ka mamao ma waena o ka lens objective a me ka lens ocular (ka lōʻihi o ka paipu microscope)
Pane:
E nānā i ke kiʻi ma luna. Ke noho ka maka ma ka palena iki, aia ke kiʻi hope loa i hana ʻia e ka lens eyepiece ma kahi mamao palena ʻole. I mea e hiki ai i ke kiʻi hope loa i hana ʻia e ka lens eyepiece ke mamao palena ʻole, pono ke kiʻi maoli i hana ʻia e ka lens objective ma ke kiko kikowaena o ka lens eyepiece. No laila, ʻo ka mamao ma waena o ka lens objective a me ka lens eyepiece (l) = ka mamao o ke kiʻi maoli mai ka lens objective (s ob ') + ka lōʻihi kikowaena o ka lens eyepiece (f ok ).
ʻO ka mamao o ke kiʻi maoli mai ke aniani pahuhopu (sob') :
1/s ob + 1/s ob ' = 1/f ob
1/s ob ' = 1/f ob – 1/s ob
1/s ob ' = 1/1,8 – 1/2
1/s ob ' = 10/18 – 9/18 = 1/18
s ob ' = 18 kenimika
Ka mamao ma waena o ka lens objective a me ka lens ocular (ka lōʻihi o ka paipu microscope):
l = s ob ' + f ok
l = 18 kenimika + 6 kenimika
ʻO ka pane pololei ʻo B.
Puna nīnau:
Nā Nīnau Hoʻokolohua Lahui no ke Kino no ke Kula Kiʻekiʻe/Kula Kiʻekiʻe ʻOihana
Puna nīnau:
Nā Nīnau Hoʻokolohua Lahui no ke Kino no ke Kula Kiʻekiʻe/Kula Kiʻekiʻe ʻOihana