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

Question

More lenses. Object O stands on the central axis of a thin symmetric lens. For this situation (see the table below all distances are in centimeters), find (a) the lens type, converging or diverging, (b) the image distance i, and (c) the lateral magnification m. It also refers to whether (d) the image is real or virtual, (e) inverted or noninverted from O, and (f) on the same side of the lens as O or on the opposite side Type m R/V I/NI Side +15 +8.2 (b) Number Units (c) Number Units S This answer has no units o (degrees) cm m/s m/s 2

Explanation / Answer

here,

the focal length , f = 15 cm

object distance , do = 8.2 cm

a)

the lens is convex

b)

let the image distance be di

using the lens formula

1/f = 1/di + 1/do

1/15 = 1/di + 1/8.2

di = - 18 cm

the image distance is 18 cm

c)

the magnification , m = ( - di/do)

m = ( 18/8.2) = 2.2

d)

the image is virtual

e)

the image is non inverted

f)

same side of lens

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