A converging lens with a focal length of 4.0 cm is to the left of a second identical lens. When a feather is placed 12 cm to the

Question

2 years ago

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left of the first lens, the final image is the same size and orientation as the feather itself. What is the separation between the lenses?

1 answer:

frez [133] · Answer 1 · 2023-03-17T13:51:21+03:00

The distance of separation between the lenses is determined as 12 cm.

<h3>Distance of image formed by the first lens</h3>

The distance of the image formed by the first lens is calculated as follows;

1/d₁ = 1/f - 1/di₀

1/di₁ = 1/4 - 1/12

1/di₁ = 2/12

1/di₁ = 1/6

di₁ = 6 cm

<h3>Find the final position of the image</h3>

Use magnification formula as shown below;

M = (di₁di₂)/(d₀₁d₀₂)

1 = (di₁di₂)/(d₀₁d₀₂)

di₂ = (d₀₁d₀₂)/(di₁)

di₂ = (12 x d₀₂)/(6)

di₂ = 2d₀₂

1/f = 1/ d₀₂ + 1/di₂

1/f = 1/ d₀₂ + 1/2d₀₂

1/f = 1.5/d₀₂

d₀₂ = 1.5f

d₀₂ = 1.5(4 cm) = 6 cm

<h3>Distance between the two converging lens</h3>

D = di₁ + d₀₂

D = 6 cm + 6 cm

D = 12 cm

Thus, the distance of separation between the lenses is determined as 12 cm.

Learn more about distance between lens here: brainly.com/question/12993552

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