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Chapter 34, Problem 050 Thin lenses. Object O stands on the central axis of a th

ID: 2305376 • Letter: C

Question

Chapter 34, Problem 050 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 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 () on the same side of the lens as object O or on the opposite side. Lens R/V I/NI Side +23 C, 8.8 (a) Number Units (b) Number Units

Explanation / Answer

a] Object distance = p = 23 cm

focal length = f = + 8.8 cm

lens is converging hence focal length is positive

so, using the lens equation: 1/f = 1/i + 1/p

=> 1/8.8 = 1/i + 1/23

=> i = 14.253 cm

b] Lateral magnification = m = - i/p = - 14.253/23 = - 0.62

c] The image is Real since the object distance is greater than the focal length and the lens is converging.

d] The image is inverted due to the converging lens.

e] Image is on the opposite side of the object since it is real.

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