Chapter 34, Problem 069 More lenses. Object O stands on the central axis of a th

Question

Chapter 34, Problem 069 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 virtl, (e) inverted or noninverted from O, and (f) on the same side of the lens as o or on the opposite side. Type R/VI/NI Side +16 +8.2 (b) Number Units (C) Number Units

Explanation / Answer

Given object distance

p =+ 8.2 cm

focal length f = +16 cm

From thin lens formula

1/f = 1/i + 1/p

1/16 =1/i + 1/8.2

0.0625 = 1/i + 0.1219

i = -16.83 cm

a)

Since focal length is positive ,the lens is Converging

b)

image distance

i = -16.83 cm

c)

since Magnification

M =-i/p = -(-16.83 / 8.2)

M = 2.05

d)

image distance i = -16.83 cm

since image distance i<0 ,the image is virtual .

e)

Since Magnification is positive ,the image is non Inverted

f)

virtual Image is formed on opposite side of the lens as the object O.

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