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. Lens R/V I/NI Side +19 D,7.7

Explanation / Answer

a) from the given data
object distance, u = 19 cm
focal length, f = -7.7 cm

let v is the image distance.

use, 1/u + 1/v = 1/f]

1/v = 1/f - 1/u

1/v = 1/(-7.7) - 1/19

v = -5.48 cm <<<<<<<<--------------Answer

b) magnification, m = -v/u

= -(-5.48)/19

= 0.288 <<<<<<<<--------------Answer

c) Virtual <<<<<<<<--------------Answer

d) Noninverted <<<<<<<<--------------Answer

e) on the same side <<<<<<<<--------------Answer

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