1. An sanya wani abu mai tsayin mm 2 a nisan santimita 10 daga gilashin ƙara girma . Kusa da wurin N = santimita 25. A tantance girman kusurwa da tsayin hoton.
An sani:
Tsawon abu (h o ) = 2 mm
Kusa da wuri (N) = 25 cm
Nisa tsakanin abu (d o ) = 10 cm
Ana so: Girman kusurwa (M) da tsayin hoto (h i )
Magani:
M = N / s
M = 25 cm / 10 cm
M = 2.5
Tsawon hoton = 2.5 x 2 mm = 5 mm.
2. Ana amfani da ruwan tabarau mai tsawon santimita 25 a matsayin gilashin ƙara girma. A tantance (a) ƙara girma idan ido ya mayar da hankali a inda yake kusa da inda yake N = 25 cm (b) ƙara girma idan ido ya huta.
An sani:
Kusa da wuri (N) = 25 cm
Tsawon gilashin ƙara girman kai (f) = 25 cm
Alamar ƙarin tana nuna cewa ruwan tabarau ruwan tabarau ne mai haɗuwa.
Magani:
(a) girman kusurwa idan ido ya mayar da hankali a inda yake kusa da N = 25 cm
M = (N/f) + 1
M = (25 cm / 25 cm) + 1
M = 1 + 1
M = 2 X
Idan tsayin abu shine 1 cm, tsayin hoton shine 2 x 1 cm = 2 cm.
(b) ƙara girman kusurwa lokacin da ido ya sassauta
M = N / f
M = (25 cm / 25 cm)
M = 1 X
Idan tsayin abu shine 1 cm, tsayin hoton shine 1 x 1 cm = 1 cm.
3. An sanya wani abu mai tsayin santimita 1 a gaban ruwan tabarau mai tsawon santimita 10. A tantance (a) tsayin hoton lokacin da idon ya mayar da hankali a inda yake kusa da shi N = 25 cm (b) Tsawon hoton lokacin da idon ya sassauta.
An sani:
Tsawon abu (h o ) = 1 cm
Tsawon mai da hankali (f) = 10 cm
Kusa da wuri (N) = 25 cm
Magani:
(a) Tsayin hoton lokacin da ido ya mayar da hankali a kusa da wurin N = 25 cm
M = (N/f) + 1
M = (25 cm / 10 cm) + 1
M = 2.5 + 1
M = 3.5 X
Idan tsayin abu shine 1 cm, tsayin hoton shine 3.5 x 1 cm = 3.5 cm.
(b) Tsawon hoton lokacin da ido ya sassauta.
M = N/f
M = 25 cm / 10 cm
M = 2.5 X
Idan tsayin abu shine 1 cm, tsayin hoton shine 2.5 x 1 cm = 2.5 cm.
4. Girman kusurwa lokacin da ido ya sassauta = 5X. Idan kusa da wuri = 25 cm, menene tsawon gilashin ƙara girman?
An sani:
Tsawon abu (h o ) = 2 mm
Ƙara girman kusurwa (M) = 5X
Kusa da wuri (N) = 25 cm
Ana so: Tsawon mai da hankali
Magani:
Tsarin girman kusurwa lokacin da ido ya sassauta:
M = N/f
5 = 25 cm / f
f = 25 cm / 5
f = 5 cm
Tsawon gilashin ƙara girman kai = 5 cm.
5. Wani yana ganin wani abu da gilashin ƙara girma mai tsawon hankali ya kai santimita 15. Idan wurin da idon mutumin yake kusa da shi ya kai santimita 30, to a tantance girman gilashin ƙara girma gaba ɗaya.
An sani:
Kusa da ido na yau da kullun (N) = 30 cm
Tsawon gilashin ƙara girman (f) = 15 cm (ƙari da alama saboda gilashin yana haɗuwa)
Ana so: matsakaicin girman girma
Magani:
Matsakaicin girman ido yana faruwa ne lokacin da wurin da ido yake da matsakaicin girman ido. Girman kusurwa na gilashin ƙara girman ido yana faruwa ne lokacin da wurin da ido yake da matsakaicin girman ido:
M = (N/f) + 1
M = (30 cm / 15 cm) + 1
M = 2 + 1
M = sau 3
6. Gilashin ƙara girman fuska mai ƙarfin gani na diopters 20 wanda mutum mai idanu na yau da kullun yake amfani da shi tsawon santimita 25. Idan wurin zama ya fi ƙanƙanta, ƙayyade mafi ƙarancin girman fuska.
An sani:
Kusa da wurin ido na yau da kullun (N) = 25 cm
Ƙarfin gilashin ƙara girman (P) = diopters 20
Ana so: Mafi ƙarancin girman girma
Magani:
Tsawon gilashin ƙara girman ido:
P = 1/f
20 = 1/f
f = 1/20
f = mita 0.05
f = 5 cm
Girman kusurwa idan masaukin ya fi ƙanƙanta:
M = N / f
M = (25 cm / 5 cm)
M = sau 5
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