Thin Jenses. Object O stands on the central axis of a thin symmetric lens. For t

Question

Thin Jenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in the table (helow) 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 (r 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 RV L/NI Side +15 D, 37 (a) Number Units (b) Number Units ol

Explanation / Answer

object distance, p = 15 cm

focal length = - 37 cm

(focal length is negative for diverging lens)

(A) 1/f = 1/p + 1/i

1/(-37) = 1/15 + 1/i

i = - 10.7 cm

(B) m = - i / p = - (-10.7)/15

m = 0.71  

(C) i is negative So Virtual. (V)

(D) m is +ve so Non-inverred. (NI)

(E) on the same side.

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