Chapter 34, Problem 071 More lenses. Object O stands on the central axis of a th

Question

Chapter 34, Problem 071 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 focal distance f, (c) the image distance i. 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 R/V I/NI Side +25 +0.69 (b) Number Units (c) Number Units

Explanation / Answer

a)

Magnification is given by

M=-i/p

=>i=-Mp=-0.69*25

i=-17.25 cm

From thin lens formula

1/f =1/p +1/i

1/f =1/25 -1/17.25

f=-55.65 cm

which implies lens is Diverging type.

b)

f=-55.65 cm

c)

i=-17.25 cm

d)

since image distance is negative ,image is virtual

e)

since magnification is positive ,image is not inverted(NI)

f)

Image is on same side as the object

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