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 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:
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
#SPJ1
You might be interested in
You know you can skip those and just submit them, they don’t even check them
Unlike charges attracting each other
Answer:
Assuming it starts at 72 kmph and hits a dead stop: Divide 72 by 60 for distance per minute. So, 1.2km per minute. 1.2km is 1200m and 4 seconds is one fifteenth of a minute.
Explanation:
As wavelength decreases, frequency increases, but as frequency decreases, wavelength increases...Vice-Versa
Sawyer Hey!! Go subscribe to Emily Dobson and sawyer sharbino and watch all there videos together