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

Question

Lenses with given radii. Object O stands in front of a thin lens, on the central axis. For this situation, 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 (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of the lens as object O or on the opposite side.

p n r1 r2 (a)
i (b)
m (c)
R/V (d)
I/NI (e)
Side +6.0 1.70 +10 ?12 ---Select---real (R)virtual (V) ---Select---not inverted (NI)inverted (I) ---Select---opposite side than the objectsame side as the object Lenses with given radii. Object O stands in front of a thin lens, on the central axis. For this situation, 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 (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of the lens as object O or on the opposite side.

Explanation / Answer

1/f = (n-1)*(1/r1 - 1/r2)

1/f = (1.7-1)*(1/10 + 1/12)


f = 7.792 cm

1/p + 1/i = 1/f

1/i = 1/f - 1/p

1/i = 1/7.792 - 1/6

i = -26.09 cm

b)

m = -i/p = -(-26.09/6) = 4.348

c)

image is virtual

d)

noninverted

e)

on the same side

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