Isithombe selensi egobile

Ukuze uqonde isithombe sento eyakhiwe ilensi egobile, hlola isibonelo esilandelayo sombuzo kanye nengxoxo. Kulo mbuzo, kucatshangwa ukuthi into ikude kakhulu nelensi egobile, bese kuchazwa ukwakheka kwesithombe sento ngelensi egobile , ibanga lesithombe kusuka kulensi egobile kanye nokukhulisa isithombe ngelensi egobile .

Ubude obuqondile belensi eligobile (ilensi ehlukanisayo) bungama-20 cm. Into ephakeme ngamasentimitha ayi-10 itholakala ngakwesobunxele selensi. Nquma ibanga lesithombe, ukukhuliswa kwesithombe, kanye nokuphakama kwesithombe uma:
a) ibanga lento lincane kunobude obuqondile belensi egobile,
b) ibanga lento lifana nobude obuqondile belensi egobile
c) ibanga lento likhulu kunobude obuqondile belensi egobile,
Ingxoxo
I-Diketahui :
Ubude be-focal (f) belensi egobile = -20 cm
Ubude be-focal lens egobile buyi-negative ngoba indawo egobile yelens egobile i-virtual noma ayidluliswanga yi-light beam.
Ukuphakama kwento (h) = 10 cm
Jawab :
Ibanga lento lincane kunobude obuqondile belensi egobile (s > f)
Ake sithi ibanga phakathi kwezinto lingu-5 cm, 10 cm kanye no-15 cm.
a) Ubude be-focal -20 cm futhi uma ibanga lento (ama) = 5 cm
Isithombe selensi egobile - 1Ibanga lesithombe (s')
1/s' = 1/f – 1/s = -1/20 – 1/5 = -1/20 – 4/20 = -5/20
s' = -20/5 = -4 cm
Ibanga lesithombe elibi lisho isithombe esibonakalayo, lapho ukukhanya kungadluli khona esithombeni.
Ibanga lesithombe elingama-4 cm lincane kunebanga lento elingama-5 cm.
Ukukhulisa isithombe (M)
M = -s'/s = -(-4)/5 = 4/5 = 0,8
Ukukhulisa isithombe kungaphansi kuka-1, okusho ukuthi isithombe sinciphile noma usayizi wesithombe mncane kunosayizi wento.
Ukuphakama kwesithunzi (h')
Ifomula yokukhulisa isithunzi:
M = h'/h
h' = M h = (0,8)(10 cm) = 8 cm
Ukuphakama kwesithunzi kuhle, okusho ukuthi isithunzi siqondile.
 
b) Ubude be-focal -20 cm futhi uma ibanga lento (ama) = 10 cm
Isithombe selensi egobile - 2Ibanga lesithombe (s')
1/s' = 1/f – 1/s = -1/20 – 1/10 = -1/20 – 2/20 = -3/20
s' = -20/3 = -6,7 cm
Ibanga lesithombe elibi lisho isithombe esibonakalayo, lapho ukukhanya kungadluli khona esithombeni.
Ibanga lesithombe elingama-6,7 cm lincane kunebanga lento elingama-10 cm.
Ukukhulisa isithombe (M)
M = -s'/s = -(-6,7)/10 = 6,7/10 = 0,67
Ukukhulisa isithombe kungaphansi kuka-1, okusho ukuthi isithombe sinciphile noma usayizi wesithombe mncane kunosayizi wento.
Ukuphakama kwesithunzi (h')
Ifomula yokukhulisa isithunzi:
M = h'/h
h' = M h = (0,67)(10 cm) = 6,7 cm
Ukuphakama kwesithunzi kuhle, okusho ukuthi isithunzi siqondile.
 
c) Ubude be-focal -20 cm futhi uma ibanga lento (ama) = 15 cm
Isithombe selensi egobile - 3Ibanga lesithombe (s')
1/s' = 1/f – 1/s = -1/20 – 1/15 = -3/60 – 4/60 = -7/60
s' = -60/7 = -8,6 cm
Ibanga lesithombe elibi lisho isithombe esibonakalayo, lapho ukukhanya kungadluli khona esithombeni.
Ibanga lesithombe elingama-8,7 cm lincane kunebanga lento elingama-15 cm.
Ukukhulisa isithombe (M)
M = -s'/s = -(-8,6)/10 = 8,6/10 = 0,86
Ukukhulisa isithombe kungaphansi kuka-1, okusho ukuthi isithombe sinciphile noma usayizi wesithombe mncane kunosayizi wento.
Ukuphakama kwesithunzi (h')
Ifomula yokukhulisa isithunzi:
M = h'/h
h' = M h = (0,86)(10 cm) = 8,6 cm
Ukuphakama kwesithunzi kuhle, okusho ukuthi isithunzi siqondile.

Ibanga lento lifana nobude obuqondile belensi egobile (s = f)
Ubude be-focal (f) = ibanga lento (s) = 20 cm.
Isithombe selensi egobile - 4Ibanga lesithombe (s')
1/s' = 1/f – 1/s = -1/20 – 1/20 = -2/20 = -2/20
s' = -20/2 = -10 cm
Ibanga lesithombe elibi lisho isithombe esibonakalayo, lapho ukukhanya kungadluli khona emthunzini.
Ibanga lesithombe elingama-10 cm lincane kunebanga lento elingama-20 cm.
Ukukhulisa isithombe (M)
M = -s'/s = -(-10)/20 = 10/20 = 0,5
Ukukhulisa isithombe kungaphansi kuka-1, okusho ukuthi isithombe sinciphile noma usayizi wesithombe mncane kunosayizi wento.
Ukuphakama kwesithunzi (h')
Ifomula yokukhulisa isithunzi:
M = h'/h
h' = M h = (0,5)(10 cm) = 5 cm
Ukuphakama kwesithunzi kuhle, okusho ukuthi isithunzi siqondile.

Ibanga lento likhulu kunobude obuqondile belensi egobile (s > f)
Ake sithi ibanga eliphakathi kwezinto lingu-30 cm no-40.
a) Ubude be-focal -20 cm futhi uma ibanga lento (ama) = 30 cm
Isithombe selensi egobile - 5Ibanga lesithombe (s')
1/s' = 1/f – 1/s = -1/20 – 1/30 = -3/60 – 2/60 = -5/60
s' = -60/5 = -12 cm
Ibanga lesithombe elibi lisho isithombe esibonakalayo, lapho ukukhanya kungadluli khona esithombeni.
Ibanga lesithombe elingama-12 cm lincane kunebanga lento elingama-30 cm.
Ukukhulisa isithombe (M)
M = -s'/s = -(-12)/30 = 12/30 = 0,4
Ukukhulisa isithombe kungaphansi kuka-1, okusho ukuthi isithombe sinciphile noma usayizi wesithombe mncane kunosayizi wento.
Ukuphakama kwesithunzi (h')
Ifomula yokukhulisa isithunzi:
M = h'/h
h' = M h = (0,4)(10 cm) = 4 cm
Ukuphakama kwesithunzi kuhle, okusho ukuthi isithunzi siqondile.

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b) Ubude be-focal -20 cm futhi uma ibanga lento (ama) = 40 cm
Isithombe selensi egobile - 6Ibanga lesithombe (s')
1/s' = 1/f – 1/s = -1/20 – 1/40 = -2/40 – 1/40 = -3/40
s' = -40/3 = -13 cm
Ibanga lesithombe elibi lisho isithombe esibonakalayo, lapho ukukhanya kungadluli khona esithombeni.
Ibanga lesithombe elingama-13 cm lincane kunebanga lento elingama-40 cm.
Ukukhulisa isithombe (M)
M = -s'/s = -(-13)/40 = 13/40 = 0,3
Ukukhulisa isithombe kungaphansi kuka-1, okusho ukuthi isithombe sinciphile noma usayizi wesithombe mncane kunosayizi wento.
Ukuphakama kwesithunzi (h')
Ifomula yokukhulisa isithunzi:
M = h'/h
h' = M h = (0,3)(10 cm) = 3 cm
Ukuphakama kwesithunzi kuhle, okusho ukuthi isithunzi siqondile.

 

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