Muraayadaha kala duwan - dhibaatooyinka iyo xalalka

1. Shay dhererkiisu yahay 5-cm ayaa la dhigayaa 15 cm laga bilaabo muraayad 30-cm ah oo kala duwan oo diiradda saareysa . Go'aami masaafada sawirka , weynaynta sawirka, dhererka sawirka, iyo sifooyinka sawirka.

La yaqaan:

Dhererka diiradda (f) = -30 cm

Calaamadda laga jaray waxay muujinaysaa in barta diiradda la saarayo ay tahay mid casri ah ama fallaaraha aysan dhex marin barta.

Dhererka shayga (h o ) = 5 cm

Masaafada shayga (d o ) = 15 cm

La Rabay: Masaafada sawirka (d i ), weyneynta sawirka (m), dhererka sawirka (h i ) iyo sifooyinka sawirka.

Xalka:

Samaynta sawirka iyadoo la adeegsanayo muraayad kala duwan:

Muraayadaha kala duwan - dhibaatooyinka iyo xalalka 1

Masaafada sawirka (d i ):

1/d i = 1/f – 1/d o = -1/30 – 1/15 = -1/30 – 2/30 = -3/30

d i = -30/3 = -10 cm

Calaamadda laga jaray waxay muujinaysaa in sawirku yahay mid casri ah ama fallaaraha aysan dhex marin sawirka.

Weyneynta sawirka (m):

m = – d i / d o = -(-10)/15 = 10/15 = 2/3

Calaamadda dheeraadka ah waxay muujinaysaa in sawirku uu toosan yahay.

Sawirku waa 2/3 ka yar shayga.

Dhererka sawirka (h i ):

m = h i / h o

h i = mh o = (2/3)5 = 10/3 = 3.3 cm

Calaamadda dheeraadka ah waxay muujinaysaa in sawirku uu toosan yahay.

Sifooyinka sawirka:

Astaamaha sawirka oo ay samaysay muraayad kala duwan:

- dalwad

- toosan

– sawirku wuu ka yar yahay shayga

– masaafada sawirku way ka yar tahay masaafada shayga

Arag sidoo kale  Go'aami qaybaha vektorka

2. Shay dhererkiisu yahay 10-cm ayaa la dhigayaa 60 cm laga bilaabo muraayad 30-cm ah oo kala duwan oo diiradda saareysa. Go'aami masaafada sawirka, weynaynta sawirka, dhererka sawirka, iyo sifooyinka sawirka.

La yaqaan:

Dhererka diiradda (f) = -30 cm

Calaamadda laga jaray waxay muujinaysaa in barta diiradda la saarayo ay tahay mid casri ah ama fallaaraha aysan dhex marin barta.

Dhererka shayga (h) = 10 cm

Masaafada shayga (d o ) = 60 cm

La Doonayo: Masaafada sawirka (d i ), weyneynta sawirka (m), dhererka sawirka (h i ) iyo sifooyinka sawirka

Xalka:

Samaynta sawirka iyadoo la adeegsanayo muraayad kala duwan:

Muraayadaha kala duwan - dhibaatooyinka iyo xalalka 2

Masaafada sawirka (d i ):

1/d i = 1/f – 1/d o = -1/30 – 1/60 = -2/60 – 1/60 = -3/60

d i = -60/3 = -20 cm

Calaamadda laga jaray waxay muujinaysaa in sawirku yahay mid casri ah ama fallaaraha aysan dhex marin sawirka.

Weyneynta sawirka (m):

m = -d i /d o = -(-20)/60 = 20/60 = 1/3

Calaamadda dheeraadka ah waxay muujinaysaa in sawirku uu toosan yahay.

Sawirku waa 1/3 ka yar shayga.

Dhererka sawirka (h i ):

m = h i / h o

h i = mh o = (1/3)10 = 10/3 = 3.3 cm

Calaamadda dheeraadka ah waxay muujinaysaa in sawirku uu toosan yahay.

Sifooyinka sawirka

- dalwad sababtoo ah fallaaraha ma dhex maraan sawirka

- toosan

– sawirku wuu ka yar yahay shayga

– masaafada sawirku way ka yar tahay masaafada shayga

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