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

given lense is diverging lens

focal length f = -6.5 cm

object distance is do = 16 cm

then using 1/f = 1/do + 1/di

(-1/6.5) = (1/16) + (1/di)

image distance is di = -4.62 cm

a) i = -4.62 cm

b) m = -di/do = 4.62/16 = 0.288

c) virtual image-V

d) NI

e) on the same side of the object O

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