According to the claim, the converging lens's height is 24 cm, and the image's inverted orientation is 6 cm.
A lens is indeed a diffused optical tool that employs diffraction to concentrate or scatter light beam. Simple lenses were made of a single transparent material, whereas compounded lenses are mainly composed of many simple lenses that are aligned along a single axis. Convex and concave lenses can be split roughly into two categories. Light microscopes have a core that is thicker than their edges, whereas contact lenses have a centre that is narrower than the edges.
[tex]\frac{1}{d_0}+\frac{1}{d_i}=\frac{1}{f}[/tex]
[tex]d_{0}[/tex] = 12.0 cm, f = 8 cm
[tex]\begin{aligned}\frac{1}{12}+\frac{1}{d_i} & =\frac{1}{8} \\\frac{1}{d_i} & =\frac{1}{8}-\frac{1}{12}=\frac{12-8}{8 \times 12} \\d_i & =\frac{8 \times 12}{4}=24 \mathrm{~cm}\end{aligned}[/tex]
[tex]\begin{aligned}& \frac{h^{\prime}}{h}=-\frac{d_i}{d_0} \\& h^{\prime}=-(3 \mathrm{~cm}) \frac{(24 \mathrm{~cm})}{12 \mathrm{~cm}}=-6 \mathrm{~m}\end{aligned}[/tex]
Consequently, 6 cm inverted.
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The complete question is-
A thin converging lens has focal length 8 cm. An object of height 3 cm is placed 12 cm away from the lens. What is the height of the resulting image, and is the image inverted or noninverted?
A.) 4.5 cm upright
B.) 3 cm inverted
C.) 6 cm inverted
D.) .7 cm inverted
E.) 1.5 cm upright