Cov cuab yeej siv tsom iav kho qhov muag - teeb meem thiab kev daws teeb meem

1. Qhov ntev ntawm lub lens tsom xam yog 400 cm thiab qhov ntev ntawm lub lens qhov muag yog 20 cm. Yog tias lub qhov muag so, txiav txim siab:

a) Qhov loj tag nrho ntawm lub tsom iav (M)

b) qhov deb ntawm daim duab los ntawm lub lens tsom ( d _ob '),

c) qhov deb ntawm daim duab los ntawm lub lens qhov muag ( d _{o c} )

d) qhov deb ntawm cov lens

Paub:

Qhov ntev ntawm lub lens tsom xam (f _ob ) = 400 cm

Qhov ntev ntawm lub lens qhov muag ( f _{o c} ) = 20 cm

Lub qhov muag so kom txaus kom daim duab tiag tiag uas tsim los ntawm lub lens tsom kwm nyob ntawm qhov chaw tseem ceeb ntawm lub lens tsom kwm thiab thawj qhov chaw tseem ceeb ntawm lub lens qhov muag.

Tshuaj:

a) Qhov loj tag nrho (M)

M = f _ob / f _{o c}

M = 400 cm / 20 cm = 20 X

Daim duab yog virtual thiab inverted.

b) Qhov deb ntawm daim duab los ntawm lub lens tsom ( d _ob ')

Yog tias lub qhov muag so, qhov deb ntawm daim duab ntawm lub lens tsom xam ( d _ob ') = qhov ntev ntawm lub lens tsom xam ( f _ob ) = 400 cm = 4 m.

c) Qhov deb ntawm daim duab tiag tiag los ntawm lub lens qhov muag ( d _{o c} )

Yog tias lub qhov muag so, qhov deb ntawm daim duab tiag tiag thiab lub lens qhov muag ( _{soc )} = qhov ntev ntawm lub lens qhov muag (foc ₎ = 20 cm = 0.2 m.

d) Qhov nrug ntawm cov lens

Qhov nrug ntawm cov lens = qhov ntev ntawm lub telescope (l) = qhov ntev ntawm lub lens tsom (f _ob ) + qhov ntev ntawm lub lens qhov muag (f _oc ) = 400 cm + 20 cm = 420 cm.

2. Qhov nrug ntawm lub lens tsom xam thiab lub lens qhov muag yog 20 cm . Qhov loj tag nrho ntawm lub telescope thaum lub qhov muag so yog 40X. Xam qhov ntev ntawm lub lens qhov muag (f _{o c} ) thiab qhov ntev ntawm lub lens tsom xam (f _ob )

Paub:

lub telescope ntev (l) = 20 cm

qhov kev loj hlob tag nrho ntawm lub tsom iav (M) = 40

Tshuaj:

Yog tias lub qhov muag so, qhov ntev ntawm lub lens qhov muag (f _oc ) + qhov ntev ntawm lub lens lub hom phiaj (f _ob ) = qhov ntev ntawm lub telescope (l)

f _{o c} + f _ob = l

f _ob = l – f _{o c}

f _ob = 20 – f _{o c} —–> kab zauv 1

Qhov loj ntawm lub tsom iav (M):

M = f _ob / f _{o c}

f _ob = M f _{o c}

f _ob = 40 f _{o c} —–> kab zauv 2

Qhov ntev ntawm lub lens qhov muag :

Hloov f _ob hauv kab zauv 1 nrog f _ob hauv kab zauv 2:

f _ob = 20 – f _{o c}

40 _{foc =} 20 _{– foc}

40 _foc + _foc = _20​

41 f _{o c} = 20

f _{o c} = 20 cm / 41

f _{o c} = 0.5 cm

Qhov ntev ntawm lub lens qhov muag = 0.5 cm.

Lub focal ntev ntawm lub lens lub hom phiaj :

f _ob = 20 – f _oc

f _ob = 20 – 0.5

f _ob = 19.5 cm

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