Question

A converging lens (f1 = 24.0 cm) is located 56.0 cm to the left of a diverging lens (f2 = -28.0 cm). An object is placed to the left of the converging lens, and the final image produced by the two-lens combination lies 20.0 cm to the left of the diverging lens. How far is the object from the converging lens?

Answer #1

here,

for the seccond lens

the image distance , di2 = - 20 cm

focal length , f2 = - 28 cm

let the object distance be do2

using the lens formula

1/f2 = 1/di2+ 1/do2

- 1/28 = 1/do2 - 1/20

solving for do2

do2 = 70 cm

for the first lens

the image distance , di1 = 56 - do2 = - 14 cm

the object distance be do1

focal length ,f = 24 cm

using the lens formula

1/f1 = 1/di1 + 1/do1

1/24 = - 1/14 + 1/do1

do1 = 8.84 cm

**the object is placed 8.84 cm to the left of converging
lens**

A converging lens (f1 = 24.0 cm) is located
56.0 cm to the left of a diverging lens (f2 =
−28.0 cm). An object is placed to the left of the converging lens,
and the final image produced by the two-lens combination lies 22.1
cm to the left of the diverging lens. How far is the object from
the converging lens?

A converging lens (f1 = 24.0 cm) is located 56.0 cm to the left
of a diverging lens (f2 = -28.0 cm). An object is placed to the
left of the converging lens, and the final image produced by the
two-lens combination lies 21.1 cm to the left of the diverging
lens. How far is the object from the converging lens?

A converging lens (f1 = 24.0 cm) is located 56.0 cm to the left
of a diverging lens (f2 = -28.0 cm). An object is placed to the
left of the converging lens, and the final image produced by the
two-lens combination lies 19.4 cm to the left of the diverging
lens. How far is the object from the converging lens?

A converging lens (f1 = 24.0 cm) is located
56.0 cm to the left of a diverging lens (f2 =
-28.0 cm). An object is placed to the left of the converging lens,
and the final image produced by the two-lens combination lies 20.7
cm to the left of the diverging lens. How far is the object from
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Locate the final image of the stamp relative to the diverging
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A converging lens (f = 11.3 cm) is located 24.0 cm to
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(a) Locate the final image of the stamp relative
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A diverging lens (f1 = −13.0 cm) is located 25.0 cm
to the left of a converging lens (f2 = 22.5 cm). A
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(including proper algebraic sign)?

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Find the overall magnification.

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