Chapter 34, Problem 051 Thin lenses. Object O stands on the central axis of a th

Question

Chapter 34, Problem 051 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 (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 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 +14 C, 19 (a) Number Units (b) Number Units

Explanation / Answer

object distance p = 14 cm

focal length f = + 19 cm

from lens equation

1/p + 1/q = 1/f

1/14 + 1/q = 1/19

image distance q = -53.2 cm

(a) image distance i = 53.2 cm <<-------ANSWER

(b) lateral magnification m = q/p = 53.2/14 = 3.8

(c) virtual

(d) Non inverted

(e)on the same side

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