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If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, and the object is 0.50 m tall, how tall is the image?


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Respuesta :

McJules
Let the image height = x
• 0.5:8=x:2
0.5/8=x/2
8x=1.0
x=1/8

Answer:

Image height = 0.125 m tall

Explanation:

As we know that magnification is given by

[tex]m = \frac{d_i}{d_o} = \frac{h_i}{h_o}[/tex]

now we know that

[tex]d_i = 2.0 m[/tex]

[tex]d_o = 8.0 m[/tex]

Also we know that

[tex]h_o = 0.50 m[/tex]

now from above equation

[tex]\frac{h_i}{0.50} = \frac{2.0}{8.0}[/tex]

[tex]h_i = 0.50 \times \frac{2}{8} = 0.125 m[/tex]

So image height will be 0.125 m

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