Samaynta sawirka oo ay samaysay muraayadda qaloocan

Maqaal ku saabsan Samaynta sawirka muraayadda qaloocan

Si aad u fahamto sameynta sawirka iyadoo la adeegsanayo muraayadda qaloocan, baro tusaalooyinka dhibaatooyinka iyo xalalka hoose. Xaaladdan, shay waxaa loo maleynayaa inuu ku jiro masaafo cayiman muraayadda qaloocan,

ka dibna sawir qaab-dhismeedka sawirka muraayadda qaloocan, masaafada sawirka u jirta muraayadda qaloocan iyo weynaynta sawirka muraayadda qaloocan.

Ka soo qaad muraayad qaloocan oo leh gacan 30 cm ah. Sawir qaabka sawirka ka dibna go'aami masaafada sawirka iyo weyneynta sawirka, haddii:

a) Masaafada shayga ayaa ka yar dhererka diiradda (do < f)

b) Masaafada shayga waxay la mid tahay dhererka diiradda (do = f)

c) Masaafada shayga ayaa ka weyn dhererka diiradda waxayna ka yar tahay gacanka qalooca muraayadda (f < do)

d) Masaafada shayga waxay la mid tahay gacanka qalooca muraayadda (do = R)

e) Masaafada shayga ayaa ka weyn gacanka qalooca muraayadda (do > R)

La yaqaan:

Gacanka qalooca muraayadda qalooca (R) = 30 cm

Dhererka diiradda ee muraayadda qaloocan (f) = R / 2 = 30/2 = -15 cm

Barta diiradda waxay ka dambeysaa muraayadda qaloocan, halkaas oo iftiinka iftiinku uusan dhex marin barta diiradda. Sidaa darteed, diiradda muraayadda qaloocan waxaa la siiyaa calaamad taban.

Xalka:

Masaafada shayga ayaa ka yar dhererka diiradda ee muraayadda qaloocan (do < f)

Ka soo qaad in masaafada shayga u jirta muraayadda ay tahay 5 cm iyo 10 cm.

  1. Dhererka diiradda (f) = -15 cm iyo haddii masaafada shayga (d o ) = 5 cm

Samaynta sawirka muraayadda qaloocan 1

Masaafada sawirka ( di ) :

1/di = 1/f – 1/s = -1/15 – 1/5 = -1/15 – 3/15 = -4/20

di = -20/4 = -5 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda, halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (d) 5 cm waxay la mid tahay masaafada shayga (d) 5 cm

Weyneynta toosan ee sawirka (M) :

M = -di / samee = -(-5)/5 = 5/5 = 1 mar

Weyneynta toosan ee sawirka (M) 1 macnaheedu waa cabbirka sawirka wuxuu la mid yahay cabbirka shayga.

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Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan, taasoo la micno ah in sawirku uu toosan yahay.

  1. Dhererka diiradda (f) = -15 cm iyo haddii masaafada shayga (do) = 10 cm

Samaynta sawirka muraayadda qaloocan 2

Masaafada sawirka ( di ) :

1/di = 1/f – 1/do = -1/15 – 1/10 = -2/30 – 3/30 = -5/30

di = -30/5 = -6 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda qaloocan, halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (di) 6 cm way ka yar tahay masaafada shayga (do) 10 cm.

Weyneynta toosan ee sawirka (M) :

M = -di / do = -(-6)/10 = 6/10 = 0.6 jeer

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1 taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan oo macnaheedu yahay in sawirku toosan yahay.

Masaafada shayga waxay la mid tahay dhererka diiradda ee muraayadda qaloocan (do = f)

Samaynta sawirka muraayadda qaloocan 3

Dhererka diiradda (f) = masaafada shayga (do) = 15 cm.

Masaafada sawirka (di ) :

1/di = 1/f – 1/do = -1/15 – 1/15 = -2/15

di = -15/2 = -7.5 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda qaloocan, halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (di) 7.5 cm way ka yar tahay masaafada shayga (do) 15 cm

Weyneynta toosan ee sawirka (M) :

M = -di / do = -(-7,5)/15 = 7.5 / 15 = 0.5 jeer

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1 taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan, taasoo la micno ah in sawirku uu toosan yahay.

Masaafada shayga ayaa ka weyn dhererka diiradda waxayna ka yar tahay gacanka qalooca muraayadda qalooca leh (f < do < R)

Ka soo qaad in masaafada shayga u jirta muraayadda ay tahay 20 cm iyo 25 cm.

  1. Dhererka diiradda (f) = -15 cm iyo haddii masaafada shayga (do) = 20 cm

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Samaynta sawirka muraayadda qaloocan 4

Masaafada sawirka ( di ) :

1/di = 1/f – 1/do = -1/15 – 1/20 = -4/60 – 3/60 = -7/60

di = -60/7 = -8.6 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda qaloocan halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (di) 8.6 cm way ka yar tahay masaafada shayga (do) 20 cm

Weyneynta toosan ee sawirka (M) :

M = -di / do = -(-8.6)/20 = 8.6 / 20 = 0.4 jeer

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1, taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan oo macnaheedu yahay in sawirku toosan yahay.

  1. Dhererka diiradda (f) = -15 cm iyo haddii masaafada shayga (do) = 25 cm

Samaynta sawirka muraayadda qaloocan 5

Masaafada sawirka ( di ) :

1/di = 1/f – 1/do = -1/15 – 1/25 = -25/375 – 15/375 = -35/375

di = -375/35 = -10.7 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda qaloocan, halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (di) 10.7 cm, ka yar masaafada shayga (do) 25 cm

Weyneynta toosan ee sawirka (M) :

M = -di / do = -(-10.7) / 25 = 10.7 / 25 = 0.4 jeer

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1 taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan oo macnaheedu yahay in sawirku toosan yahay.

Masaafada walaxda waxay la mid tahay gacanka qalooca muraayadda qalooca leh (do = R)

Samaynta sawirka muraayadda qaloocan 6

Gacanka qalooca muraayadda (R) = masaafada shayga (do) = 30 cm.

Masaafada sawirka ( di ) :

1/di = 1/f – 1/do = -1/15 – 1/30 = -2/30 – 1/30 = -3/30

di = -30/3 = -10 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda qaloocan, halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (di) 10 cm, ka yar masaafada shayga (do) 30 cm

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Weyneynta toosan ee sawirka (M) :

M = -di / samee = -(-10)/30 = 1/3

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1, taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan oo macnaheedu yahay in sawirku toosan yahay.

Masaafada walaxda ayaa ka weyn gacanka qalooca muraayadda qalooca leh (samee > R)

Ka soo qaad in masaafada shayga u jirta muraayadda ay tahay 40 cm iyo 50 cm.

  1. Dhererka diiradda (f) = -15 cm iyo haddii masaafada shayga (do) = 40 cm

Masaafada sawirka ( di ) :

1/di = 1/f – 1/do = -1/15 – 1/40 = -8/120 – 3/120 = -11/120

di = -120/11 = -10.9 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayadda qaloocan halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (di) 10.9 cm, ka yar masaafada shayga (do) 40 cm

Weyneynta toosan ee sawirka ( M) :

M = -di / do = -(-10.9) / 40 = 10.9 / 40 = 0.3 jeer

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1 taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan oo macnaheedu yahay in sawirku toosan yahay.

  1. Dhererka diiradda, f) = -15 cm iyo masaafada shayga (do) = 50 cm

Masaafada sawirka ( di ) :

1/di = 1/f – 1/di = -1/15 – 1/50 = -10/150 – 3/150 = -13/150

di = -150/13 = -11.5 cm

Masaafada sawirka (di) waxay leedahay calaamad taban oo macnaheedu yahay in sawirku yahay mid casri ah, ama sawirku wuxuu ka dambeeyaa muraayad qaloocan, halkaas oo iftiinka iftiinku uusan dhex marin sawirka.

Masaafada sawirka (in) 11.5 cm, ka yar masaafada shayga (in) 50 cm

Weyneynta toosan ee sawirka (M) :

M = -di / do = -(-11.5) / 50 = 11.5 / 50 = 0.2 jeer

Weyneynta toosan ee sawirka (M) waxay ka yar tahay 1, taasoo la micno ah in cabbirka sawirku uu ka yar yahay cabbirka shayga.

Weyneynta toosan ee sawirka (M) waxay leedahay calaamad togan, taasoo la micno ah in sawirku uu toosan yahay.