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 +13 C, 20 (a) Number Units (b) Number Units S This answer has no units o (degrees) cm kg m/s m/s 2

Explanation / Answer

here,

the objet distance , do = 13 cm

the focal length , f = 20 cm

let the image distance be di

using the lens formula

1/f = 1/di + 1/do

1/20 = 1/di + 1/13

solving for di

di = - 37 cm

b)

the magnification , m = - di/do

m = - ( - 37/13)

m = 2.86

c)

the image is virtual

d)

the image is noin-inverted

e)

on the same side of object

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