1) Lenses with given radii. Object O stands in front of a thin lens, on the cent

Question

1) Lenses with given radii. Object O stands in front of a thin lens, on the central axis. For this situation, each problem in the table (below) gives object distance p, index of refraction n of the lens, radius r1 of the nearer lens surface, and radius r2 of the farther lens surface. (All distances are in centimeters.) 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.

Explanation / Answer

We first need to find the focal lengh of the lens from the Lens Makers Equation

1/f = (n - 1)(1/R1 - 1/R2)

1/f = (.5)(1/-29 - 1/24)

f = -26.3 cm

Part A)

Appli 1/f = 1/p + 1/i

1/-26.3 = 1/15 + 1/i

i = -9.55 cm

Part B)

M = -i/p

M = -(-9.54)/(15)

M = +.636

Part C)

Since i was negative, the image is virtual

Part D)

Since M was positive, the image is noninverted

Part E)

Since i is negative, the image is on the same side of the lens as the object

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