Thin lenses Object O stands on the central axis of a thin symmetric lens. For th

Question

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 p 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 (e) on the same side of the lens as object O or on the opposite side. Lens R/V I/NI Side +27 C, 45 (a) Number To.148 UnitsT cm (b) NumberT UnitsT This answer has no units virtual noninverted (e) Tsame

Explanation / Answer

(a) apply lens equation

1/f = 1/p + 1/i

i = p*f / p-f

= (27)(45) / (27-45)

i = - 67.5 cm

(b) magnification is

m = -i / p

= -(-67.5) / 27

m = 2.5

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