Lenses with given radii. An object O stands in front of a thin lens, on the cent

Question

Lenses with given radii. An object O stands in front of a thin lens, on the central axis. The data 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 the image distance i and the lateral magnification m of the object, including signs. Also, determine whether the image is real (R) or virtual (V), inverted (I) from object O or noninverted (NI), and on the same side of the lens as object O or on the opposite side.

p n r1 r2 i(cm) m

+26 1.65 +35 infinity ____ _______

solve for i(cm) and m

Explanation / Answer

The lens is a plano convex lens. The focal length of plano convex lens is f = r1/(n-1)=35/(1.65-1)=+53.85 cm.

1/f=1/v-1/u

1/53.85=1/v-1/(-26)

v=i=-50.27 cm

lateral magnification,m=v/u=i/p=(-50.27/-26)=1.93

The object is placed between center of lens and focus so the image is Virtual(V) and Non-Inverted(NI) and the image is on the same side of the lens as the object.

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