Question

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.

				(a)	(b)	(c)	(d)	(e)
p	n	r1	r2	i	m	R/V	I/NI	Side
+19	1.60	-42	+42

Answer 1

P=powern of the lens

f=focus length of the lens

Lens maker formula

P=0

f= Infinite

u=object distance

v=image distance

image distance=+19

lateral magnification m=v/u=1

image and object on the same side so the following condition must be followed by any lenses(concave or convex)

i.virtual image

ii. non-inverted