Magirazi ekubatanidza - matambudziko nemhinduro

1. Chinhu chakareba masendimita mashanu chinoiswa 5 cm kubva pane lenzi ine urefu hwemasentimita gumi nemashanu . Sarudza daro remufananidzo , kukura kwemufananidzo, kukwirira kwemufananidzo uye hunhu hwemufananidzo.

Zvinozivikanwa:

Kureba kwefocal (f) = 15 cm

Chiratidzo chekuwedzera chinoratidza kuti nzvimbo iri pamberi pechinhu ndechechokwadi kana kuti mwaranzi inopfuura nepakati pechinhu.

Kureba kwechinhu (h o ) = 5 cm

Daro rechinhu ( do o ) = 5 cm

Zvinodiwa : daro remufananidzo , kukura kwemufananidzo , kukwirira kwemufananidzo uye hunhu hwemufananidzo

Solution:

Kugadzirwa kwemufananidzo ne lenzi inosanganisa :

Magirazi ekubatanidza - matambudziko nemhinduro 1

Kureba kwemufananidzo ( di i ):

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

d i = -15/2 = -7.5 cm

Chiratidzo che "minus" chinoratidza kuti mufananidzo wacho uri wepakombiyuta kana kuti mwaranzi haipfuuri nepamufananidzo.

Kukura kwemufananidzo ( m ):

m = – di i / do o = -(-7.5)/5 = 7.5/5 = 1.5

Chiratidzo chekuwedzera chinoratidza kuti mufananidzo wacho wakamira.

Kureba kwemufananidzo (h i ):

m = h i / h o

h i = m h o = (1.5)5 = 10/3 = 7.5 cm

Chiratidzo chekuwedzera chinoratidza kuti mufananidzo wacho wakamira.

Hunhu hwemufananidzo

- pamhepo

- yakatwasuka

- Mufananidzo wacho mukuru kupfuura chinhu chacho

- Kureba kwemufananidzo kwakakura kupfuura kureba kwechinhu

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2. Chinhu chakareba masendimita gumi chinoiswa 30 cm kubva pane lenzi ine urefu hwemasentimita makumi maviri . Sarudza daro remufananidzo, kukura kwemufananidzo, kukwirira kwemufananidzo uye hunhu hwemufananidzo.

Zvinozivikanwa:

Kureba kwefocal (f) = 15 cm

Chiratidzo chekuwedzera chinoratidza kuti nzvimbo iri pamberi pechinhu ndechechokwadi kana kuti mwaranzi inopfuura nepakati pechinhu.

Kureba kwechinhu (h) = 10 cm

Daro rechinhu (s) = 30 cm

Zvinodiwa: Kureba kwemufananidzo, kukura kwemufananidzo, kukwirira kwemufananidzo uye hunhu hwemufananidzo

Solution:

Kuumbwa kwemufananidzo ne lenzi inoungana:

Magirazi ekubatanidza - matambudziko nemhinduro 2

Kureba kwemufananidzo ( di i ):

1/ di = 1/f – 1/ do o = 1/15 – 1/30 = 2/30 – 1/30 = 1/30

d i = 30/1 = 30 cm

Chiratidzo chekuwedzera chinoratidza kuti mufananidzo wacho ndewechokwadi kana kuti mwaranzi inopfuura nemumufananidzo.

Kukura kwemufananidzo ( m ):

m = – di i / do o = -(30)/30 = -30/30 = -1

Chiratidzo chekusiya chinoratidza kuti mufananidzo wacho wakapindurwa.

Kureba kwemufananidzo (h i ):

m = h i / h o

h i = m h o = (-1)10 = -10 cm

Chiratidzo chekusiya chinoratidza kuti mufananidzo wacho wakapindurwa.

Hunhu hwemufananidzo

- chaiyo kana kuti mwaranzi inopfuura nepamufananidzo

- yakapindurwa

- Kureba kwemufananidzo kwakafanana nekukwirira kwechinhu.

- Kureba kwemufananidzo kwakafanana nedaro rechinhu.

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3. Chinhu chakareba masendimita gumi chinoiswa 30 cm kubva pane lenzi ine urefu hwemasentimita makumi maviri . Sarudza daro remufananidzo, kukura kwemufananidzo, kukwirira kwemufananidzo uye hunhu hwemufananidzo.

Zvinozivikanwa:

Kureba kwefocal f) = 20 cm

Chiratidzo chekuwedzera chinoratidza kuti nzvimbo iri pamberi pechinhu ndechechokwadi kana kuti mwaranzi inopfuura nepakati pechinhu.

Kureba kwechinhu (h) = 10 cm

Daro rechinhu ( do o ) = 30 cm

Zvinodiwa: Kureba kwemufananidzo , kukura kwemufananidzo , kukwirira kwemufananidzo uye hunhu hwemufananidzo

Solution:

Kureba kwemufananidzo ( di i ):

1/ di = 1/f – 1/ do o = 1/20 – 1/30 = 3/60 – 2/60 = 1/60

d i = 60/1 = 60 cm

Chiratidzo chekuwedzera chinoratidza kuti mufananidzo wacho ndewechokwadi kana kuti mwaranzi inopfuura nemumufananidzo.

Kukura kwemufananidzo ( m ):

m = – di i / do o = -(60)/30 = -2

Chiratidzo chekusiya chinoratidza kuti mufananidzo wacho wakapindurwa.

Mufananidzo wacho wakakura kakapetwa kaviri pane chinhu chacho.

Kureba kwemufananidzo (h i ):

m = h i / h o

h i = m h o = (-2)10 = -20 cm

Chiratidzo chekusiya chinoratidza kuti mufananidzo wacho wakapindurwa.

Hunhu hwemufananidzo

- chaiyo

- yakapindurwa

- kukwirira kwemufananidzo kwakakura kupfuura kukwirira kwechinhu

- daro remufananidzo rakakura kupfuura daro rechinhu

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4. Zvichibva pamufananidzo uri pazasi, sarudza kureba kwelenzi inoungana!

Zvinozivikanwa:Magirazi ekubatanidza - matambudziko nemhinduro 1

Kureba kwechinhu ( do o ) = 20 cm

Daro remufananidzo ( di ) = 30 cm

Zvinodiwa : Hurefu hwefocal (f)

Solution:

1/ do o + 1/ di i = 1/f

do o = chinhambwe chechinhu ( pamwe nechiratidzo chekuti mwaranzi inopfuura nepakati pechinhu )

d i = chinhambwe chemufananidzo ( pamwe nechiratidzo chekuti mwaranzi inopfuura nepamufananidzo )

f = kureba kwefocal ( pamwe nechiratidzo chekuti mwaranzi inopfuura nepakati pefocal kana kuti focal point ndeyechokwadi )

Kureba kwefocal:

1/f = 1/20 + 1/30 = 3/60 + 2/60 = 5/60

f = 60/5 = 12 cm

5. Kureba kwechinhu i30 cm uye kureba kwefocal i20 cm. Sarudza kukura kwemufananidzo.

Zvinozivikanwa:Magirazi ekubatanidza - matambudziko nemhinduro 2

Kureba kwefocal lens inoungana (f) = 20 cm

Chiratidzo chekuwedzera chinoratidza kuti nzvimbo iri pamberi pechinhu ndechechokwadi kana kuti mwaranzi inopfuura nemumufananidzo.

Kureba kwechinhu ( do o ) = 30 cm

Zvinodiwa: Kukura kwemufananidzo (M)

Solution:

Kureba kwemufananidzo:

1/ di = 1/f – 1/ do = 1/20 – 1/30 = 3/60 – 2/60 = 1/60

d i = 60/1 = 60 cm

Kukura kwemufananidzo:

M = di i / do o = 60 cm / 30 cm = 60/30 = kaviri

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