Thin lenses. Object O stands on the central axis of a thin symmetric lens. For t

Question

Thin lenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in the table (below) gives object distance p (centimeters), the type of lens (C stands for converging and D for diverging), and then the distance (centimeters, without proper sign) between a focal point and the lens. Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real or virtual, (d) inverted from object O or noninverted, and (e) on the same side of the lens as object O or on the opposite side.

Explanation / Answer

for converging lens focal length is positive f=+5.4 cm

a)

from thin lens formula

1/f =1/p +1/i

1/5.4 =1/26 +1/i

i=6.82 cm

b)

Magnification

M=-i/p =-6.82/26 =-0.262

c)

since image distance is positive ,image is real

d)

since magnification is negative ,image is inverted

e)

opposite side of the object

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