a) Thin lenses . Object O stands on the central axis of a thin, symmetric lens.
ID: 2226334 • Letter: A
Question
a) Thin lenses. ObjectOstands on the central axis of a thin, symmetric lens. The table gives the object distancep, the type of lens and the focal distancef. Find the image distanceiand the lateral magnificationmof the object, including signs.
b) Thin lenses. ObjectOstands on the central axis of a thin, symmetric lens. The table gives the object distancep, the type of lens and the focal distancef. Find the image distanceiand the lateral magnificationmof the object, including signs.
p(cm) Lens f(cm) i(cm) m +28 converging *41Explanation / Answer
For the converging lens, the focal length is positive, so apply
1/f = 1/p + 1/i
1/41 = 1/28 + 1/i
i = -88.3 cm
m = -i/p
m = -(-88.3)/(28)
m = 3.15
This image is virtual since i is negative and on the same side of the lens as O since it is virtual. The image is upright since m is positive.
For the diverging lens, same idea but diverging lenses have a negative focal length, so...
1/-6.1 = 1/13 + 1/i
i = -4.15 cm
m = -1/p
m = -(-4.15)/(13)
m = .319
This image is virtual since i is negative and on the same side of the lens as O since it is virtual. The image is upright since m is positive.
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