Na'urorin hangen nesa na gani - matsaloli da mafita

1. Tsawon ruwan tabarau mai hangen nesa shine 400 cm kuma tsawon ruwan tabarau mai hangen nesa shine 20 cm. Idan idon ya sassauta, a tantance:

a) Girman gaba ɗaya na na'urar hangen nesa (M)

b) nisan hoton daga ruwan tabarau na zahiri ( d _ob '),

c) nisan hoton daga ruwan tabarau na ido ( d _{o c} )

d) nisan da ke tsakanin ruwan tabarau

An sani:

Tsawon mai da hankali na ruwan tabarau na zahiri (f _ob ) = 400 cm

Tsawon mai da hankali na ruwan tabarau na ido ( f _{o c} ) = 20 cm

Idon yana annashuwa ta yadda ainihin hoton da ruwan tabarau na zahiri ya samar ya kasance a wurin da ruwan tabarau na zahiri ya ke da kuma wurin farko na ruwan tabarau na ido.

Magani:

a) Girman gaba ɗaya (M)

M = f _ob / f _{o c}

M = 400 cm / 20 cm = 20 X

Hoton yana kama-da-wane kuma an juya shi.

b) Nisa daga hoton da aka ɗauka daga ruwan tabarau na zahiri ( d _ob ')

Idan ido ya sassauta, nisan hoton daga ruwan tabarau na zahiri ( d _ob ') = tsawon mai da hankali na ruwan tabarau na zahiri ( f _ob ) = 400 cm = 4 m.

c) Nisa na ainihin hoto daga ruwan tabarau na ido ( d _{o c} )

Idan ido ya sassauta, nisan ainihin hoto da ruwan tabarau na ido ( _{oc )} = tsawon mai da hankali na ruwan tabarau na ido (f _oc ) = 20 cm = 0.2 m.

d) Nisa tsakanin ruwan tabarau

Nisa tsakanin ruwan tabarau = tsawon madubin hangen nesa (l) = tsawon madubin hangen nesa na ruwan tabarau na zahiri (f _ob ) + tsawon madubin hangen nesa na ruwan tabarau na ido (f _oc ) = 400 cm + 20 cm = 420 cm.

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2. Nisa tsakanin ruwan tabarau na gani da ruwan tabarau na gani shine 20 cm . Girman gaba ɗaya na na'urar hangen nesa idan ido ya sassauta shine 40X. Lissafa tsawon mai da hankali na ruwan tabarau na gani (f _{o c} ) da tsawon mai da hankali na ruwan tabarau na gani (f _ob )

An sani:

Tsawon madubin hangen nesa (l) = 20 cm

girman na'urar hangen nesa gaba ɗaya (M) = 40

Magani:

Idan ido ya sassauta, tsawon mai da hankali na ruwan tabarau na ido (f _oc ) + tsawon mai da hankali na ruwan tabarau na zahiri (f _ob ) = tsawon mai da hankali (l)

f _{o c} + f _ob = l

f _ob = l – f _{o c}

f _ob = 20 – f _{o c} —–> lissafi 1

Girman girman na'urar hangen nesa (M):

M = f _ob / f _{o c}

f _ob = M f _{o c}

f _ob = 40 f _{o c} —–> lissafi na 2

Tsawon ruwan tabarau na ido :

Maye gurbin f _ob a cikin lissafi 1 da f _ob a cikin lissafi 2:

f _ob = 20 – f _{o c}

40 f _{o c} = 20 – f _{o c}

40 f _{o c} + f _{o c} = 20

41 f _{o c} = 20

f _{o c} = 20 cm / 41

f _{o c} = 0.5 cm

Tsawon mai da hankali na ruwan tabarau na ido = 0.5 cm.

Tsawon mai da hankali na ruwan tabarau na zahiri :

f _ob = 20 – f _oc

f _ob = 20 – 0.5

f _ob = 19.5 cm

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